Title: SORA
1SORA
- CLASSES IV Sez. A-B
- TEACHERS
- ANNARITA SBARDELLA
- EMILIANA MANCINI
- VINCENZO RECCHIA
Power Point Presentation realized by
Lorenzo Corsetti (Class
VA) Cristiano Diamanti (Class VA) Francesco
DOrazio (Class VA)
2LICEO SCIENTIFICO STATALE "LEONARDO DA VINCI"
SORA ITALY COMENIUS 1.3 ENCOHAN - ENERGY IN
THE CONSUMERS HANDS 2005 - 2008
CLASSES IV Sez. A-B
TEACHERS ANNARITA SBARDELLA EMILIANA
MANCINI VINCENZO RECCHIA
3LICEO SCIENTIFICO STATALE "LEONARDO DA VINCI"
SORA ITALY COMENIUS 1.3 ENCOHAN - ENERGY IN
THE CONSUMERS HANDS 2005 - 2008
ENCOHAN PROJECT MEETING IN HUNGHERY (6th
November / 11th November 2006)
Teachers Emiliana Mancini
Vincenzo Recchia
ENCOHAN PROJECT MEETING IN POLAND
(25th March / 1st April 2007)
Teachers Annarita Sbardella (Coordinator)
Vincenzo Recchia
Students Francesca Fornari (Class
IVA)
Martina Liburdi (Class IVA)
Luca Lombardi
(Class IVA)
Luigi Recchia (Class IVA)
Chiara Iafrate
(Class IVB)
Alessia Pantano (Class IVB)
Ilaria Urbani
(Class IVB)
Silvia Venditti (Class
IVB)
4DRINKING BIRD
- Drinking birds are thermodinamically powered toy
heat engines that mimick the motions of a bird
drinking from a fountain or other water source.
They are also known as happy, dippy, dipping,
tippy, tipping, sippy, sipping, dip-dip or
dunking birds. - Construction and materials
- A drinking bird consists of two glass bulbs,
joined by a tube (the bird's neck). The tube
extends nearly all the way into the bottom bulb
but does not extend into the top. The space
inside is typically filled with coloured
dichloromethane(also known as methylene
chloride). - Air is removed from the apparatus, so the space
inside the body is filled by dichloromethane
vapour. The upper bulb has a "beak" attached,
which along with the head, is covered in a felt
like material. The bird is typically decorated
with paper eyes, a blue top hat (plastic) and a
single green tail feather. The whole setup is
pivoted on a variable point on the neck. - The drinking bird illustrates the conversion of
thermal energy into mechanical energy. The head
of the bird is coated with a fuzzy material, and
is initially soaked in water so that it will
begin to cool by evaporation.
Drinking birds are thermodinamically powered toy
heat engines that mimick the motions of a bird
drinking from a fountain or other water source.
They are also known as happy, dippy, dipping,
tippy, tipping, sippy, sipping, dip-dip or
dunking birds. Construction and materials A
drinking bird consists of two glass bulbs, joined
by a tube (the bird's neck). The tube extends
nearly all the way into the bottom bulb but does
not extend into the top. The space inside is
typically filled with coloured dichloromethane(als
o known as methylene chloride). Air is removed
from the apparatus, so the space inside the body
is filled by dichloromethane vapour. The upper
bulb has a "beak" attached, which along with the
head, is covered in a felt like material. The
bird is typically decorated with paper eyes, a
blue top hat (plastic) and a single green tail
feather. The whole setup is pivoted on a variable
point on the neck. The drinking bird illustrates
the conversion of thermal energy into mechanical
energy. The head of the bird is coated with a
fuzzy material, and is initially soaked in water
so that it will begin to cool by evaporation.
5DRINKING BIRD
- This provides the temperature difference
from head to tail necessary to run the heat
engine. As the head cools, the colored fluid is
observed to rise up from the bottom of the bird
through the neck, gradually shifting the center
of gravity of the bird toward its head. The bird
bends at the hips and dips its bill into a glass
of water (thus keeping the head wet and cooler
than the tail). As the fluid continues to rise
into the head, the fluid level in the bottom of
the bird eventually drops below the end of the
connecting tube. This allows vapor to be pulled
up through the neck to equilibrate the pressure.
The fluid runs back down into the bottom of the
bird, the bird stands up again, and the cycle
repeats indefinitely. - The drinking bird is basically a heat engine
that exploits a temperature differential to
convert heat energy to kinetic energy and perform
mechanical work. Like all heat engines, the
drinking bird works through a thermodynamic
cycle. The initial state of the system is a bird
with a wet head oriented vertically with an
initial oscillation on its pivot.
6DRINKING BIRD
- The cycle operates as follows
- The water evaporates from the head.
- Evaporation lowers the temperature of the glass
head. - The temperature drop causes some of the
dichloromethane vapor in the head to condense. - The lower temperature and condensation together
cause the pressure to drop in the head (ideal gas
law). - The pressure differential between the head and
base causes the liquid to be pushed up from the
base. - As liquid flows into the head, the bird becomes
top heavy and tips over during its oscillations. - When the bird tips over, the bottom end of the
neck tube rises above the surface of the liquid. - A bubble of vapor rises up the tube through this
gap, displacing liquid as it goes - Liquid flows back to the bottom bulb, and vapor
pressure equalizes between the top and bottom
bulbs - The weight of the liquid in the bottom bulb
restores the bird to its vertical position.
7DRINKING BIRD
- If a glass of water is placed so that the beak
dips into it on its descent, the bird will
continue to absorb water and the cycle will
continue as long as there is enough water in the
glass to keep the head wet. However, the bird
will continue to dip even without a source of
water, as long as the head is wet, or as long as
a temperature differential is maintained between
the head and body. This differential can be
generated without evaporative cooling in the head
-- for instance, a heat source directed at the
bottom bulb will create a pressure differential
between top and bottom that will drive the
engine. The ultimate source of energy is heat in
the surrounding environment -- the toy is not a
perpetual motion machine.
8THE PHISICS AROUND
- 1) Heat engine
- A heat engine is a physical or theoretical device
that converts thermal energy to mechanical
output. The mechanical output is called work, and
the thermal energy input is called heat. Heat
engines typically run on a specific thermodynamic
cycle. Heat engines are often named after the
thermodynamic cycle they are modeled by. They
often pick up alternate names, such as
gasoline/petrol, turbine, or steam engines. Heat
engines can generate heat inside the engine
itself or it can absorb heat from an external
source. Heat engines can be open to the
atmospheric air or sealed and closed off to the
outside (Open or closed cycle). - In engineering and thermodynamics, a heat engine
performs the conversion of heat energy to
mechanical work by exploiting the temperature
gradient between a hot "source" and a cold
"sink". Heat is transferred from the source,
through the "working body" of the engine, to the
sink, and in this process some of the heat is
converted into work by exploiting the properties
of a working substance (usually a gas or liquid).
9THE PHISICS AROUND
Figure 1 Heat engine diagram
Heat engines are often confused with the cycles
they attempt to mimic. Typically when describing
the physical device the term 'engine' is used.
When describing the model the term 'cycle' is
used. In thermodinamics, heat engines are often
modeled using a standard engineering model such
as the Otto cycle (4-stroke/2-stroke). Actual
data from an operating engine, one is called a
indicator diagram, is used to refine the model.
All modern implementations of heat engines do not
exactly match the thermodynamic cycle they are
modeled by. One could say that the thermodynamic
cycle is an ideal case of the mechanical engine.
One could equally say that the model doesn't
quite perfectly match the mechanical engine.
However, much benefit is gained from the
simplified models, and ideal cases they may
represent.
10THE PHISICS AROUND
- In general terms, the larger the difference
in temperature between the hot source and the
cold sink, the larger is the potential thermal
efficiency of the cycle. On Earth, the cold side
of any heat engine is limited to close to the
ambient temperature of the environment, or not
much lower than 300 kelvins, so most efforts to
improve the thermodynamic efficiencies of various
heat engines focus on increasing the temperature
of the source, within material limits. - The efficiency of various heat engines
proposed or used today ranges from 3 percent (97
percent waste heat) for the OTEC ocean power
proposal through 25 percent for most automotive
engines, to 35 percent for a supercritical coal
plant, to about 60 percent for a steam-cooled
combined cycle gas turbine. All of these
processes gain their efficiency (or lack thereof)
due to the temperature drop across them.
11THE PHISICS AROUND
- OTEC uses the temperature difference of ocean
water on the surface and ocean water from the
depths, a small difference of perhaps 25 degrees
Celsius, and so the efficiency must be low. The
combined cycle gas turbines use natural-gas fired
burners to heat air to near 1530 degrees Celsius,
a difference of a large 1500 degrees Celsius, and
so the efficiency can be large when the
steam-cooling cycle is added in
Figure 1 Heat engine diagram
12THE PHISICS AROUND
- Examples of everyday heat engines include the
steam engine, the diesel engine, and the gasoline
(petrol) enginein an automobile. A common toy
that is also a heat engine is a drinking bird.
All of these familiar heat engines are powered by
the expansion of heated gases. The general
surroundings are the heat sink, providing
relatively cool gases which, when heated, expand
rapidly to drive the mechanical motion of the
engine. - It is important to note that although some cycles
have a typical combustion location (internal
external), they often can be implemented as the
other combustion cycle. For example, John
Ericsson developed an external heated engine
running on a cycle very much like the earlier
Diesel cycle. In addition, the externally heated
engines can often be implemented in open or
closed cycles. - What this boils down to is there are
thermodynamic cycles and a large number of ways
of implementing them with mechanical devices
called engines.
13THE PHISICS AROUND
- 2) Evaporation and condensation
- EVAPORATION
Evaporation is the process whereby atoms or
molecules in a liquid state gain sufficient
energy to enter the gaseous state (the equivalent
process in solids is known as sublimation). It is
the opposite process of condensation. Evaporation
is exclusively a surface phenomena and should not
be confused with boiling. Most notably, for a
liquid to boil, its vapor pressure must equal the
ambient pressure, whereas for evaporation to
occur, this is not the case. The vapor pressure
of a liquid is the pressure exerted by its vapor
when the liquid and vapor are in dynamic
equilibrium.
Water condenses into visible droplets after
evaporating from a cup of hot tea
14THE PHISICS AROUND
- In chemistry and physics, vapor pressure is
the pressure of a vapor in equilibrium with its
non-vapor phases. All solids and liquids have a
tendency to evaporate to a gaseous form, and all
gases have a tendency to condense back. At any
given temperature, for a particular substance,
there is a partial pressure at which the gas of
that substance is in dynamic equilibrium with its
liquid or solid forms. This is the vapor pressure
of that substance at that temperature. In
meteorology, the term vapor pressure is used to
mean the partial pressure of water vapor in the
atmosphere, even if it is not equilibrium, and
the equilibrium vapor pressure is specified as
such. Meteorologists also use the term saturation
vapor pressure to refer to the equilibrium vapor
pressure of water or brine above a flat surface,
to distinguish it from equilibrium vapor pressure
which takes into account the shape and size of
water droplets and particulates in the
atmosphere.
15THE PHISICS AROUND
- Vapor pressure is an indication of a liquid's
evaporation rate. It relates to the tendency of
molecules and atoms to escape from a liquid or a
solid. A substance with a high vapor pressure at
normal temperatures is often referred to as
volatile. The higher the vapor pressure of a
material at a given temperature, the lower the
boiling point. - The vapor pressure of any substance increases
non-linearly with temperature according to the
Clausius-Clapeyron relation. The boiling point of
a liquid is the temperature where the vapor
pressure equals the ambient atmospheric pressure.
At the boiling temperature, the vapor pressure
becomes sufficient to overcome atmospheric
pressure and lift the liquid to form bubbles
inside the bulk of the substance. Evaporation is
a critical component of the water cycle, which is
responsible for clouds and rain. Solar energy
drives evaporation of water from oceans, lakes,
moisture in the soil, and other sources of water.
In hydrology, evaporation and transpiration
(which involves evaporation within plant stomata)
are collectively termed evapotranspiration.
16THE PHISICS AROUND
Condensation is the change in matter of a
substance to a denser phase, such as a gas (or
vapor) to a liquid. Condensation commonly occurs
when a vapor is cooled to a liquid, but can also
occur if a vapor is compressed (i.e., pressure on
it increased) into a liquid, or undergoes a
combination of cooling and compression. Liquid
which has been condensed from a vapor is called
condensate. A device or unit used to condense
vapors into liquid is called a condenser.
Condensers are typically coolers or heat
exchangers which are used for various purposes,
have various designs, and come in many sizes
ranging from rather small (hand-held) to very
large. Condensation of vapor of liquid is the
opposite of evaporation or boiling and is an
exothermic process, meaning it releases heat. The
water seen on the outside of a cold glass on a
hot day is condensation.
17THE PHISICS AROUND
- CONDENSATION OF WATER IN NATURE
Water vapor from air which naturally condenses on
cold surfaces into liquid water is called dew.
Water vapor will only condense onto another
surface when that surface is cooler than the
temperature of the water vapor, or when the water
vapor equilibrium in air, i. e. saturation
humidity, has been exceeded. When water vapor
condenses onto a surface, a net warming occurs on
that surface.
Dew on a spider web
18THE PHISICS AROUND
- The water molecule brings a parcel of heat with
it. In turn, the temperature of the atmosphere
drops very slightly. In the atmosphere,
condensation of water vapour is what produces
clouds. The dew point of an air parcel is the
temperature to which it must cool before
condensation in the air begins to form. - Also, a net condensation of water vapor occurs on
surfaces when the temperature of the surface is
at or below the dew point temperature of the
atmosphere. Deposition is a type of condensation.
Frost and snow are examples of deposition (or
sublimation). Deposition is the direct formation
of ice from water vapor.
Condensation on a cold bottle of water
19THE PHISICS AROUND
- APPLICATIONS OF CONDENSATION
Because condensation is a naturally occurring
phenomenon, it can often be used to generate
water in large quantities for human use. In fact,
there are many structures that are made solely
for the purpose of collecting water from
condensation, such as fog fences, air wells and
dew ponds. Such systems can often be used to
retain soil moisture in areas where active
desertification is occurring. In fact, certain
organizations use education about water
condensers in efforts to effectively aid such
areas.
CONDENSATION IN BUILDINGS
Condensation is the most common form of dampness
encountered in buildings. In buildings the
internal air can have a high level of relative
humidity due to the activity of the occupants
(e.g. cooking, drying clothes, breathing etc...).
When this air comes into contact with cold
surfaces such as windows and cold walls it can
condense, causing dampness.
20THE PHISICS AROUND
The ideal gas law is the equation of state of a
hypothetical ideal gas, first stated by Benoît
Paul Émile Clapeyron in 1834.
The state of an amount of gas is determined by
its pressure, volume, and temperature according
to the equation
where
is the pressure PAL
is the volume m
3
is the amount of substance of gas mol,
is the gas constant 8.3143 m3PaK-1mol-1, and
is the temperature in kelvins K.
21THE PHISICS AROUND
- The ideal gas constant (R) is dependent on what
units are used in the formula. The value given
above, 8.314472, is for the SI units of
pascal-cubic meters per mole-kelvin. Another
value for R is 0.082057 L atm mol-1 K-1) - The ideal gas law is the most accurate for
monatomic gases and is favored at high
temperatures and low pressures. It does not
factor in the size of each gas molecule or the
effects of intermolecular attraction. The more
accurate Van der Waals equation takes these into
consideration.
22THE PHISICS AROUND
- Alternate forms
- Considering that the number of moles (n) could
also be given in mass, sometimes you may wish to
use an alternate form of the ideal gas law. This
is particularly useful when asked for the ideal
gas law approximation of a known gas. Consider
that the number of moles (n) is equal to the mass
(m) divided by the molar mass (M), such that
Then, replacing n gives in statistical
mechanics, and is often derived from first
principles
23THE PHISICS AROUND
- Here, kb is Boltzmann's constant, and N is
the actual number of molecules, in contrast to
the other formulation, which uses n, the number
of moles. This relation implies that Nkb nR,
and the consistency of this result with
experiment is a good check on the principles of
statistical mechanics. - From here we can notice that for an average
particle mass of µ times the atomic mass of
Hydrogen,
and since ? m / V, we find that the ideal gas
law can be re-written as
24THE PHISICS AROUND
PROOF Empirical The ideal gas law can be proved
using Royle,Charles and Gay-Lussac
laws. Consider an amount of gas. Let its initial
state be defined as
volume v0 pressure p0 temperature t0
If this gas now undergoes an isobaric process,
its state will change
volume
pressure
temperature
25THE PHISICS AROUND
If it then undergoes an isothermal process
Where
p final pressure v final volume T final
temperature ( t')
So
26THE PHISICS AROUND
termed R, is the universal gas constant
Using this notation we get
And multiplying both sides of the equation by n
(numbers of moles)
Using the symbol V as a shorthand for nv (volume
of n moles) we get
27THE PHISICS AROUND
- Theoretical
- The ideal gas law can also be derived from first
principles using the kinetic theory of gases, in
which several simplifying assumptions are made,
chief amongst which is that the molecules, or
atoms, of the gas are point masses, possessing
mass but no significant volume.
28 LEVITRON
- The LEVITRON is formed by a top that hangs above
a base while is spinning. The 'antigravity' force
that repels the top from the base is magnetism.
Both the top and the heavy slab inside the base
box are magnetized, but oppositely. Think of the
base magnet with its north pole pointing up, and
the top as a magnet with its north pole pointing
down. The principle is that two similar poles
(e.g., two norths) repel and that two opposite
poles attract, with forces that are stronger when
the poles are closer. There are four magnetic
forces on the top on its north pole, repulsion
from the base's north and attraction from the
base's south, and on its south pole, attraction
from the base's north and repulsion from the
base's south. Because of the way the forces
depend on distance, the north-north repulsion
dominates, and the top is magnetically repelled.
It hangs where this upward repulsion balances the
downward force of gravity, that is, at the point
of equilibrium where the total force is zero.
29 LEVITRON
- As well as providing a force on the top as a
whole, the magnetic field of the base gives a
torque tending to turn its axis of spin. If the
top were not spinning, this magnetic torque would
turn it over. Then its south pole would point
down and the force from the base would be
attractive - that is, in the same direction as
gravity - and the top would fall. When the top is
spinning, the torque acts gyroscopically and the
axis does not overturn but rotates about the
(nearly vertical) direction of the magnetic
field. This rotation is called precession. With
the LEVITRON, the axis is nearly vertical and the
precession is visible as a shivering that gets
more pronounces as the top slows down. - For the top it remain suspended, equilibrium
alone is not enough. The equilibrium must also be
stable , so that a slight horizontal or vertical
displacement produces a force pushing the top
back toward the equilibrium point.
30 LEVITRON
- For the LEVITRON, stability is difficult to
achieve. It depends on the fact that as the top
moves sideways, away from the axis of the base
magnet, the magnetic field of the base, about
which the top's axis precessed, deviates slightly
from the vertical. If the top precessed about the
exact vertical, the physics of magnetic fields
would make the equilibrium unstable. Because the
field is so close to vertical, the equilibrium is
stable only in a small range of heights - between
about 1.25 inches and 1.75 inches above the
center of the base. (between 2.5 and 3.0 inches
for Fascinations' new Super LEVITRON). The
Earnshaw theorem is not violated by the behavior
of the LEVITRON. That theorem states that no
static arrangements of magnetic (or electric)
charges can be stable, alone or under gravity. It
does not apply to the LEVITRON because the magnet
(in the top ) is spinning and so responds
dynamically to the field from the base.
31 LEVITRON
- The weight of the top and the strength of
magnetization of the base and the top determine
the equilibrium height where magnetism balances
gravity. This height must lie in the stable
range. Slight changes of temperature alter the
magnetization of the base and the top. (as the
temperature increases, the directions of the
atomic magnets randomize and the field weakens).
Unless the weight is adjusted to compensate, the
equilibrium will move outside the stable range
and the top will fall. Because the stable range
is so small, this adjustment is delicate - the
lightest washer is only about 0.3 of the weight
of the top. - The top spins stable in the range from about 20
to 35 revolutions per second (rps). It is
completely unstable above 35-40 rps and below 18
rps. After the top is spun and levitated, it
slows down because of air resistance. After a few
minutes it reaches the lower stability limit (18
rps) and falls.
32 LEVITRON
- The spin lifetime of the LEVITRON can be extended
by placing it in a vacuum. In a few vacuum
experiments that have been done the top fell
after about 30 minutes. Why it does so is not
clear perhaps the temperature changes, pushing
the equilibrium out of the stable range perhaps
there is some tiny residual long-term instability
because the top is not spinning fast enough or
perhaps vibrations of the vacuum equipment jog
the field and gradually drive the precession axis
away from the field direction. Levitation can be
greatly prolonged by blowing air against an
appropriately serrated air collar placed around
the top's periphery so as to maintain the spin
frequency in the stable range.
33 LEVITRON
- Recently a LEVITRON top was kept rotating for
several days in this way. But the most successful
means to prolong the top's levitation is with
Fascinations' new PERPETUATOR, an
electro-magnetic pulsed device which can keep the
top levitating for many days or even weeks. - In recent decades, microscopic particles have
been studied by trapping them with magnetic
and/or electric fields. There are several sorts
of traps. For example, neutrons can be held in a
magnetic field generated by a system of coils.
Neutrons are spinning magnetic particles, so the
analogy of such a neutron trap with the LEVITRON
is close.
34THE PHISICS AROUND
35THE PHISICS AROUND
Magnetism has been known since ancient times. The
magnetic property of lodestone (Fe3O4) was
mentioned by the Greek philosopher Thales (c. 500
BC), and the Greeks called this mineral
"Magnetic", after the province of Magnesia in
Thessaly where it was commonly found. It was also
found in the nearby province of Heraclia, which
is presumably why Socrates says that most people
called the stone "Heraclian". Apparently we have
the great dramatist Euripides to thank for not
having to pronounce the electro-heraclian field.
About 1000 AD the Chinese began to use lodestone
as a compass for finding directions on land, and
soon afterwards Muslim sailors were using
compasses to navigate at sea. Europeans began
using magnetic compasses for navigation around
1200 AD, probably bringing the idea back from the
Crusades.
36THE PHISICS AROUND
The first scientific study of magnets was
apparently by the English physician William
Gilbert in 1600, who is credited with
"discovering" that the Earth itself is a magnet.
After Gilbert, the subject languished for almost
200 years, as the attention of most scientists
turned to gravitation and working out the
consequences of Newton's great synthesis of
dynamics and astronomy. Not until 1785 was the
subject taken up again, first by the Frenchman
Charles Coulomb, then by Poisson, Oersted,
Ampere, Henry, Faraday, Weber, and Gauss,
culminating in Maxwell's classical synthesis of
electromagnetic theory in 1875. However, despite
the great achievements of these scientists, no
satisfactory understanding of the various kinds
of magnetic behavior exhibited by different
materials was achieved. Only with the advent of
quantum mechanics in the 1920's did it become
possible to give a coherent account of the main
magnetic properties of materials. It's a
surprisingly complex subject, but we can give a
broad outline of the modern explanations of
magnetic phenomena.
37THE PHISICS AROUND
- The three main types of magnetic behavior
exhibited by material substances are called
diamagnetism, paramagnetism, and ferromagnetism.
The first two can be explained in terms of the
magnetic fields produced by the orbital motions
of the electrons in an atom. Each electron in an
atom can be regarded as having some "orbital"
motion about the nucleus, and this moving charge
represents an electric current, which sets up a
magnetic field for the atom, as shown below.
38THE PHISICS AROUND
Many atoms have essentially no net magnetic
dipole field, because the electrons orbit the
nucleus about different axes, so their fields
cancel out. Thus, whether or not an atom has a
net dipole field depends on the structure of the
electron shells surrounding the nucleus. In broad
terms, diamagnetism and paramagnetism are
different types of responses to an externally
applied magnetic field. Diamagnetism is a natural
consequence of Lenz's law, according to which the
electric current resulting from an applied field
will be in the direction that opposes the applied
field. . In other words, the induced current will
flow in the direction that creates a field
opposite to the applied field, as illustrated
below
39THE PHISICS AROUND
Conservation of energy implies that a force is
required to push the magnet through the ring,
thereby setting up the flow of current (in the
opposite direction of the electron motion). Hence
there is a repulsive force between the magnet and
the conducting ring. Likewise when an atom is
subjected to an applied magnetic field, there is
a tendency for the orbital motions of the
electrons to change so as to oppose the field.
40THE PHISICS AROUND
- As a result, the atom is repelled from any
magnetic field. Notice that this is true
regardless of the polarity of the applied field,
because the induced "currents" (i.e., the induced
changes in the orbital motions of the electrons)
invariably act to oppose the applied field. This
phenomenon is present in all substances to some
degree, but it is typically extremely small, so
it is not easily noticed. It is most evident for
elements whose atoms have little or no net
magnetic moment (absent an externally applied
field). Among all the elements at ordinary room
temperatures, bismuth has the strongest
diamagnetism, but even for bismuth the effect is
extremely weak, because the currents that can be
established by the electron orbital motions are
quite small. It's possible, however, to construct
a perfect diamagnet using superconductivity.
41THE PHISICS AROUND
- A superconductor is, in many respects, like a
quantum-mechanical atom, but on a macroscopic
scale, and it can support very large currents. In
accord with Lenz's Law, these currents oppose any
applied field, so it's actually possible to
achieve stable levitation of a permanent magnet
over a superconductor. In view of Lenz's Law, it
might seem surprising that any material could
actually be attracted to a magnetic field, but in
fact there are many such substances. This is due
to the phenomena called paramagnetism. Unlike the
atoms of diamagnetic materials, the electrons of
atoms in paramagnetic materials are arranged in
such a way that there is a net magnetic dipole
due to the orbital motions of the electrons
around the nucleus. Thus, each atom is a small
permanent magnet, but the poles tend to be
oriented randomly, so a macroscopic sample of the
substance usually has no net magnetic field.
42THE PHISICS AROUND
- When such a substance is subjected to an external
magnetic field, there is (as always) a small
diamagnetic effect on the orbital motions of the
electrons, tending to cause a repulsion (as
explained above), but there is also a tendency
for the individual atomic dipoles to become
aligned with the imposed field, rather than being
oriented randomly. This gives the substance an
overall net magnetic dipole in the same direction
as the applied field, so if the substance is
located in a non-uniform magnetic field, it will
be attracted in the direction of increasing field
strength. This paramagnetic attraction effect is
much stronger than the diamagnetic repulsion, so
paramagnetism usually masks the effect of
diamagnetism for such substances. However, even
paramagnetism is so weak that it's often not
noticed, because the thermal agitation of the
atoms (at room temperature) tends to disrupt the
alignment.
43THE PHISICS AROUND
- The last major category of magnetic behavior is
called ferromagnetism. This is the phenomenon
responsible for the strong magnetic properties of
iron, and for the existence of permanent magnets,
i.e., macroscopic substances (such as magnetite)
that exhibit an overall net magnetic dipole
field, even in the absence of any externally
applied field. Many of the early researchers in
the science of magnetism thought this was nothing
but a strong and persistent form of
paramagnetism, but the strength and persistence
of ferromagnetism show that it is the result of a
fundamentally different mechanism, an effect that
is absent in merely paramagnetic substances
Whereas both diamagnetism and paramagnetism are
essentially due to the atomic fields resulting
from the orbital motions of the electrons about
the nucleus, ferromagnetism is due almost
entirely to alignment of the intrinsic spin axes
of the individual electrons.
44THE PHISICS AROUND
- An individual electron possesses a quantum
property known as "spin", which is somewhat
analogous to the spin of a macroscopic object.
(This analogy is not exact, and can be misleading
in some circumstances, but it's useful for
gaining an intuitive understanding of the
magnetic properties of materials.) According to
this view, an electron's charge is distributed
around its surface, and the surface is spinning
about some axis, so there is a tiny current loop,
setting up a magnetic field as illustrated below.
45THE PHISICS AROUND
- The contribution of the nucleus itself to the
magnetic field of an atom is typically negligible
compared with that of the electrons. In most
elements the spin axes of the electrons point in
all different directions, so there is no
significant net magnetic dipole. However, in
ferromagnetic substances, the intrinsic spins of
many of the electrons are aligned, both within
atoms and between atoms. The key question is what
causes all these dipoles to be aligned,
especially in the absence of an external field.
It can be shown that the dipole interaction
itself is not nearly strong enough to achieve and
maintain alignment of the electron spin axes at
room temperatures, so some other factor must be
at work.
46THE PHISICS AROUND
- Quantum mechanics furnishes the explanation For
particular arrangements of certain kinds of atoms
in the lattice structure of certain solids, the
inter-electron distances within atoms and between
neighboring atoms are small enough that the wave
functions of the electrons overlap significantly.
As a result, there is a very strong effective
"coupling force" between them due to their
indistinguishability. This is called an "exchange
interaction", and is purely a quantum-mechanical
phenomenon. There is no classical analogy. In
essence, quantum mechanics tells us that there is
a propensity for the identities of neighboring
electrons to be exchanged, and this locks the
spin orientations of the electrons together.
47THE PHISICS AROUND
- (This is actually true only under certain
circumstances. It's also possible for exchange
interactions to lock the spins of neighboring
electrons in opposite directions, in which case
the behavior is called anti-ferromagnetism.) In
order for the exchange interaction to operate,
the inter-electron distances must be just right,
and these distances are obviously affected by the
temperature, so there is a certain temperature,
called the Curie temperature, above which
ferromagnetism breaks down. Only five elements
have electron shell structures that support
ferromagnetism, namely, iron, cobalt, nickel,
gadolinium, and dysprosium. In addition, many
compounds based on these elements are also
ferromagnetic. (One example is the compound
Fe3O4, also called lodestone, which the ancient
Greeks found lying around in Magnesia.) These are
all "transition elements", with partially
populated 3d inner electron shells.
48THE PHISICS AROUND
- When magnetized, the spin axes of all the
electrons in the 3d shells are aligned, not only
for one atom, but for neighboring atoms as well.
This gives the overall lattice of atoms a very
strong net magnetic dipole. It's worth noting
that this is due to the intrinsic spins of the
individual electrons, not due to the orbital
motions of the electrons (as is the case with
diamagnetism and paramagnetism). Recall that, for
paramagnetic substances, the alignment of atomic
dipoles is maintained only as long as the
external field is applied. As soon as the field
is removed, the atomic dipoles tend to slip back
into random orientations. This is because the
ordinary dipole field is not nearly strong enough
to resist thermal agitation at room temperatures.
In contrast, after a ferromagnetic substance has
been magnetized, and the externally applied field
is removed, a significant amount of magnetization
remains.
49THE PHISICS AROUND
- In general, the electron spins of all the atoms
with a suitable lattice will be locked in
alignment, with or without an external field, but
a real large-scale piece of a substance typically
cannot be a single perfectly coherent lattice.
Instead, it consists of many small regions of
pure lattices, within which the exchange
interaction keeps all the electron spins aligned,
but the exchange interaction does not extend
across the boundaries between domains. In effect,
these boundaries are imperfections in the
lattice. As a result, although each small domain
is perfectly magnetized, the domains in an
ordinary piece of iron are not aligned, so it has
no significant net magnetic field. However, when
subjected to an external field, there is enough
extra impetus to trigger a chain reaction of
alignment across the boundaries of the individual
regions in the iron, causing the overall object
to become a magnet.
50THE PHISICS AROUND
- This is the phenomenon described by Socrates,
when he explained how a Magnet has the power not
only to attract iron, but to convey that power to
the iron. He was describing a purely quantum
mechanical effect, by which an applied magnetic
field causes the intrinsic spin axes of
individual electrons in the 3d shells of
transition elements such as iron to become
aligned - although he presumably wasn't thinking
about it in those terms. When the external field
is removed, the various regions in the iron
object will tend to slip back to their natural
orientations, given the imperfections in the
lattice structure, so much of magnetism of the
object will be lost. However, there will be
typically have been some structural
re-organization of the lattice (depending on the
strength of the applied field, and the
temperature of the iron), so that a higher
percentage of the domains are aligned, and this
re-structuring of the lattice persists even after
the external field is removed.
51THE PHISICS AROUND
- This accounts for the hysteresis effect, by which
a piece of iron acquires some permanent magnetism
after having been exposed to a strong field. In
order to create a strong permanent magnet, a
piece of ferrous material is heated to a molten
state, and then placed in a strong magnetic field
and allowed to cool. This creates a lattice
structure with very few magnetic imperfections in
the lattice, so the electron spins are naturally
locked in alignment throughout the material. Not
surprisingly, if a magnetized piece of iron is
struck with a hammer, it's possible to scramble
the domains and thereby de-magnetize the object
In summary, the three main kinds a magnetism are
illustrated schematically in the figures below.
52THE PHISICS AROUND
- 2) Gyroscope
- The gyroscope is an instrument that allows to
verify immediately that an object placed in spin
stretches to conserve the direction of the spin
axis. The force necessary to move the direction
of the spin axis is as greater as the rotation
spin speed is. This means that an object place in
very fast spin keeps the direction of its spin
axis costant. On this principle very
sophisticated devices are based in the guide of
the airplanes that make satellite navigation
systems work. You can find them in the most
expensive cars. Also the possibility to be in
equilibrium on a bicycle is tied partially to the
speed of spin of the wheels that stretch to
maintain to horizontal their spin axis and
therefore contrasts the tendency of the bicycle
to falling on a side.
53THE PHISICS AROUND
Gyroscope used in satellite navigation systems
In satellite navigation systems it is essential
to know the position of the automobile. The
gyroscope is used in this case to know the value
of the angular movement (rotations) made by
vehicle. The gyroscope installed on the
navigation system, generally settled on the back
of the automobile is a sensor of piezoelectric
angular velocity (Rate Gyro). So its a sensible
sensor to rotation angular velocity that through
integration in time gives information about the
angular movement (degrees) made by the car.
54THE PHISICS AROUND
- Functioning
- The heart of the device is a ceramics bar line
that flutes around his longitudinal axis. The bar
line is suspended on two metallic axis with two
welding points settled on the oscillation
junctions of the bar line. If the bar line rolls,
it originates the Coriolis force on the normal
level to the one of oscillation, proportional to
the angular velocity. The piezoelectric platens
applied on the bar line are useful to vibrate the
bar line lengthwise and to eliminate the
vibration on the normal level, originated by
Coriolis force. The essential tension to
eliminate the vibration on the normal level gives
information about the speed of the rotation of
bar line (so the gyroscope). So the gyroscope
generates an exit tension proportional to the
angular velocity to which its submitted.
55THE PHISICS AROUND
- The Artificial Horizon
- The Artificial Horizon is the pointer of order
generally employed on the simpler airplanes.
The spin
axis is constituted by a gyroscope to three
degrees of freedom, having vertically disposed,
and therefore the disc place in spin in the
horizontal plan.
In agreement to gyroscope there is a line or
a representation of the horizon, that is
therefore always parallel to the horizon, while
in agreement to the case of the instrument is a
shape that represents the airplane, which can be
rised or lowered on the horizon through an
appropriate revolving knurl. Making the shape
coincide with the line of the horizon when the
airplane is on the line of flight, the assumed
orders can be visualized around to the bank axis
and around to its pitch.
56THE PHISICS AROUND
- The picture shows five flight attitudes indicated
by an artificial horizon
57THE PHISICS AROUND
- TWO CURIOUS PHISYCAL EXPERIENCES
- Seats and gyroscopeseated over a revolving
seat,we support a bycicle wheel,with an
horizontal axis(the wheel has two handles)if the
wheel is put in spin,and we tilt the axis of the
wheel,we also begin to turn.
Suspended wheela bycicle wheel with an axis, an
extremity of which is suspended to the ceiling
trough a rope,it is kept to turning with the
horizontal axis and,after that,is released.What
does the wheel do? Contrarily at what we
think,the wheel maintains its horizontal axis
until the speed of the spin is quite high.
58THE PHISICS AROUND
- SHORT HISTORY OF THE BICYCLE
- The origins of the bicycle are debatables.
- In 1796,a celerifero ,vehicle equipped of two
wheels on the same vertical axis, was assembled. - The wheels were linked by a small beam (not yet
equipped of a seat) astride of which they moved
thanks to the push gave from the feet . - Some years after,the German Drais inserted two
remarkable varyingsa saddleback to sit and a
handle-bar to ride the mean.
59THE PHISICS AROUND
- DRAISINA (1820)
- The celerifero,and later velocifero, was
constituted by a wooden rigid chassis with two
wheels on which the rider stood astride,pulling
the mean with his feet.
The Bavarian baron
Carl von Drais,in 1818,modified his own
velocifero equipping it with a handle-bar to
direct the anterior wheel,making easier the use
and the maneuver.
This mean was called Draisino and it
can be considered as a precursor of the current
bicycles. The Draisina represented an
enormous progress about celeriferi which,in
fact,could not steer and, therefore, face curves.
60THE PHISICS AROUND
- MICHAUX PENNY-FARTHING (1869)
- With the application of the stocks on the front
wheel born the michaudine. - The name of these velocipedi comes from French
mechanics Piero Ernesto Michaux(father and son).
61THE PHISICS AROUND
- DRAISINA WITH LEVERS
- TECHNICAL DESCRIPTION
- A draisina with levers,stocks and connecting
rodsonly lever for steering-gear and brake
62THE PHISICS AROUND
TECHNICAL DESCRIPTION Pedals introduction on a
loom like draisina Hanged saddle
elastically steering and pedals to the drive
wheel elegant shape of the support crosspiece.
63THE PHISICS AROUND
- PENNY-FARTHING ENGLISH MODEL
TECHNICAL DESCRIPTION Hanged saddle
elastically Recordable pedals Sliding block
brake on the posterior wheel.
64THE PHISICS AROUND
- TRICYCLE MURNIGOTTI (1879)
TECHNICAL DESCRIPTION First application of the
motor to the tricycle to hydrogen engine two
cylinders.
65THE PHISICS AROUND
Marseillaise Rousseau decided to apply two gears
with transmission to chain in order to increase
the speed, and he realized it in 1878. Later on,
in order to distinguish from the other
exemplaries, it was called Kangoroo.In order to
avoid the turn over of the runner, typical of the
bicycles with two wheels of great diameter, the
use of the chain with multiplies is introduced in
order to contain the diameter of the front wheel
and to maintain a high speed in means.
66THE PHISICS AROUND
TECHNICAL DESCRIPTION Iron chassis Iron wheel
with radial and driven in beams.
67THE PHISICS AROUND
TECHNICAL DESCRIPTION Front stirrups for
rest Posterior stirrups for climb in
race Humber chain Recordable pedals.
68THE PHISICS AROUND
TECHNICAL DESCRIPTION Ice-skate brake on the
front wheel French galle chain Pneumatic
rubbers
69THE PHISICS AROUND
One of the most common questions about permanent
magnets is whether there exist a stable and
static configuration of permanent magnets that
will cause an object to be levitated
indefinitely. Obviously the levitation itself is
not a problem, because many magnets have fields
strong enough to lift their own weight.
Equilibrium is also not a problem, because there
is obviously a configuration at the boundary
between falling and rising. The problem is
stability. In order to have stability, there must
be a restorative force counter-acting any
displacement away from the equilibrium point. We
need to be careful when considering this
question, because, as discussed above, there are
several kinds of magnetic behavior exhibited by
different substances in different circumstances.
We can certainly achieve stable levitation with a
superconductor, which is really just a perfect
diamagnet.
70THE PHISICS AROUND
- In fact, even at room temperatures, it is
possible to use the diamagnetic property of a
substance like bismuth to achieve (marginal)
stability for magnetic levitation. Of course, in
such a case, the paramagnet is too weak to do the
actual levitating it just provides a small
window of stability for an object that is
actually being lifted by ferromagnetic effects.
But if we set aside the phenomenon of
paramagnetism, which is a constantly
self-adjusting field, and focus strictly on fixed
fields as are produced by ferromagnets, can we
achieve stable static levitation? In 1842, Samuel
Earnshaw proved what is now called Earnshaw's
Theorem, which states that there is no stable and
static configuration of levitating permanent
magnets. (See Earnshaw, S., On the nature of the
molecular forces which regulate the constitution
of the luminiferous ether., 1842, Trans. Camb.
Phil. Soc., 7, pp 97-112.)
71THE PHISICS AROUND
- The term "permanent magnet" is meant to specify
ferromagnetism, which is truly a fixed magnetic
field relative to the magnet. In contrast, the
phenomena of diamagnetism is not really
"permanent", both because it requires the
presence of an externally applied field, and more
importantly (from the standpoint of Earnshaw's
theorem) because the diamagnetic field constantly
adapts to changes in the applied external field.
This is why stable diamagnet levitation (of which
superconductors provide the extreme example) is
possible, in spite of Earnshaw's theorem. It's
worth noting that Earnshaw's theorem - ruling out
the possibility of static stable levitation -
presented scientists at the time with something
of a puzzle, if not an outright paradox, because
we observe stable configurations of levitating
objects every day.
72THE PHISICS AROUND
- For example, the book sitting on my desk is being
levitated, and some force is responsible for this
levitation. Admittedly it may not have been clear
in Earnshaw's day that the book's interaction
with the desk was via electromagnetic forces, but
Earnshaw's theorem actually applies to any
classical particle-based inverse-square force or
combination of such forces. Since we observe
stable levitation (not to mention stable atoms
and stable electrons), it follows from Earnshaw's
theorem that there must be something else going
on, viz., we cannot account for the stable
structures we observe in nature purely in terms
of classical inverse-square forces, or even in
terms of any kind of classical conservative
forces. In order to explain why stable atoms are
possible (i.e., why the electrons don't simply
spiral in and collide with the protons) and why
other stable structures are possible, it's
necessary to invoke some other principle(s).
Something like quantum mechanics and the
exclusion principle is required.
73THE PHISICS AROUND
- The proof of Earnshaw's theorem follows closely
from Gauss's law. Indeed this accounts for the
generality of its applicability. To consider the
simplest case, suppose we wish to arrange a set
of charged particles in such a way that a region
of stable containment for an electron is
established. This requires the existence of a
point in empty space such that the force vector
everywhere on the surface of an incremental
region surrounding that point is directed inward.
But according to Gauss's law, the integral of the
force vector over any closed surface equals the
charge contained within the surface. Thus the
integral of the force over any closed surface in
empty space is zero, which implies that if it
points inward on some parts of the surface, it
must point outward on other parts, so it is
clearly not a stable equilibrium point. The best
we could do is have a force of zero over the
entire surface, but this too is not stable,
because there is no restorative force to oppose
any perturbations.
74THE PHISICS AROUND
- According to Gauss' law, the only point that
could possibly be a stable equilibrium point for
an electron is a point where a positive charge
resides, e.g., a proton. Classically an electron
would be expected to collapse onto a proton,
assuming it had no angular momentum. In the
presence of angular momentum, it's possible to
have (idealized) stable orbits in the context of
Newtonian gravitation, because Newton's gravity
did not radiate energy when charges (i.e.,
masses) are accelerated. However, electric
charges were known classically to radiate energy,
so even naive orbital models were ruled out. This
made it clear that some other principles must be
invoked to account for stable configurations of
electrically charged matter. (In general
relativity, simple two-body orbital systems also
radiate energy, in the form of gravitational
waves, so the same argument can ultimately be
against the possibility of stable configurations
for inertially charged matter as well, although
in this case the rate of energy radiation is so
low that the configurations are essentially
stable for practical purposes.)
75THE PHISICS AROUND
- Incidentally, if we don't require a static
configuration, then it is possible to achieve
quasi-stable levitation with permanent magnets by
spinning the levitated object and using the
gyroscopic moments to offset the instability. A
number of interesting devices of this type have
been constructed. This form of levitation is
called quasi-stable (rather than stable) because
the rotation of the levitating object results in
the emission of energy in the form of
electromagnetic waves, so eventually the rotation
will be brought to a stop, and then the system
will go unstable.
76THE PHISICS AROUND
- Maglev train
- Magnetic levitation transport, or maglev, is a
form of transportation that suspends, guides and
propels vehicles via electromagnetic force. This
method can be faster than wheeled mass transit
systems, potentially reaching velocities
comparable to turboprop and jet aircraft (500 to
580 km/h). The world's first commercial
application of a high-speed maglev line is the
IOS (initial operating segment) demonstration
line in Shanghai, China that transports people 30
km (18.6 miles) to the airport in just 7 minutes
20 seconds (top speed of 431 km/h or 268 mph,
average speed 250 km/h or 150 mph). Other maglev
projects worldwide are being studied for
feasibility. However, scientific, economic and
political barriers and limitations have hindered
the widespread adoption of the technology.
77THE PHISICS AROUND
- All operational implementations of maglev
technology have had minimal overlap with wheeled
train technology and have not been compatible
with conventional railroad tracks. Because they
cannot share existing infrastructure, maglevs
must be designed as complete transportation
systems. The term "maglev" refers not only to the
vehicles, but to the railway system as well,
specifically designed for magnetic levitation and
propulsion.
Technology See also fundamental technology
elements in the JR-Maglev article, Technology in
the Transrapid article, Magnetic levitation
78THE PHISICS AROUND
- There are two primary types of maglev technology
- electromagnetic suspension (EMS) uses the
attractive magnetic force of a magnet beneath a
rail to lift the train up. - electrodynamic suspension (EDS) uses a repulsive
force between two magnetic fields to push the
train away from the rail.
79THE PHISICS AROUND
- Electromagnetic suspension
- In current EMS systems, the train levitates above
a steel rail while electromagnets, attached to
the train, are oriented toward the rail from
below. The electromagnets use feedback control to
maintain a train at a constant distance from the
track. - Electrodynamic suspension
80THE PHISICS AROUND
- EDS Maglev Propulsion via propulsion coils
- In Electrodynamic suspension (EDS), both the rail
and the train exert a magnetic field, and the
train is levitated by the repulsive force between
these magnetic fields. The magnetic field in the
train is produced by either electromagnets (as in
JR-Maglev) or by an array of permanent magnets
(as in Inductrack). The repulsive force in the
track is created by an induced magnetic field in
wires or other conducting strips in the track. - At slow speeds, the current induced in these
coils and the resultant magnetic flux is not
large enough to support the weight of the train.
For this reason the train must have wheels or
some other form of landing gear to support the
train until it reaches a speed that can sustain
levitation.
81THE PHISICS AROUND
- Propulsion coils on the guideway are used to
exert a force on the magnets in the train and
make the train move forwards. The propulsion
coils that exert a force on the train are
effectively a linear motor An alternating
current flowing through the coils generates a
continuously varying magnetic field that moves
forward along the track. The frequency of the
alternating current is synchronized to match the
speed of the train. The offset between the field
exerted by magnets on the train and the applied
field create a force moving the train forward. - Pros and cons of different technologies
- Each implementation of the magnetic levitation
principle for train-type travel involves
advantages and disadvantages. Time will tell as
to which principle, and whose implementation,
wins out commercially.
82THE PHISICS AROUND
- Technology Pros
Cons - EMS Electromagnetic
Magnetic fields inside and outside the vehicle
are insignificant proven, commercially available
technology that can attain very high speeds (500
km/h) no wheels or secondary propulsion system
needed
The separation between the vehicle and the
guideway must be constantly monitored and
corrected by computer systems to avoid collision
due to the unstable nature of electromagnetic
attraction.
Onboard magnets and large margin between rail and
train enable highest recorded train speeds (581
km/h) and heavy load capacity has recently
demonstrated (Dec 2005) successful operations
using high temperature superconductors in its
onboard magnets, cooled with inexpensive liquid
nitrogen
Electromagnetic EDS Electrodynamic
Inductrack System (Permanent Magnet EDS)
Failsafe Suspension