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Electricity, Sound and Light

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Harmonic motion is motion that repeats over and over. Linear motion gets us from one place ... One full back-and-forth swing of a child on a swing is one cycle. ... – PowerPoint PPT presentation

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Title: Electricity, Sound and Light


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Electricity, Sound and Light
3
Chapter Nine Waves and Sound
  • 9.1 Harmonic Motion
  • 9.2 Waves
  • 9.3 Sound

4
Investigation 9A
The Motion of a Pendulum
  • How do we describe back and forth, or repeating
    motion?

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9.1 Harmonic motion
  1. Harmonic motion is motion that repeats over and
    over.
  2. Linear motion gets us from one place to another.

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9.1 Harmonic motion
  • One full back-and-forth swing of a child on a
    swing is one cycle.
  • A pendulum has a cycle like the one below.

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9.1 Harmonic motion
  • An oscillator is a physical system that has
    repeating cycles.
  • Systems that oscillate always move back and forth
    around a center or equilibrium position.
  • A restoring force is any force that always acts
    to pull a system back toward equilibrium.

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9.1 Harmonic motion
  • If a pendulum is pulled forward, gravity creates
    a restoring force that pulls it back, toward
    equilibrium.
  • If the pendulum is moved backward, gravity pulls
    it forward, back to equilibrium again.

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9.1 Harmonic motion
  • According to the first law, an object in motion
    tends to stay in motion.
  • Inertia causes the pendulum to overshoot its
    equilibrium position every time.

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9.1 Harmonic motion
  • Harmonic motion can be fast or slow, but speed
    constantly changes during its cycle.
  • We use period and frequency to describe how
    quickly cycles repeat themselves.
  • The time for one cycle to occur is called a
    period.
  • The frequency is the number of complete cycles
    per second.
  • Frequency and period are inversely related.
  • One cycle per second is called a hertz,
    abbreviated (Hz).

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9.1 Amplitude
  • Amplitude describes the size of a cycle.
  • The amplitude is the maximum distance the
    oscillator moves away from its equilibrium
    position.

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9.1 Amplitude
  • A pendulum with an amplitude of 20 degrees swings
    20 degrees away from the center in either
    direction.
  • Friction slows a pendulum down, just as it slows
    all motion.
  • We use the word damping to describe the gradual
    loss of amplitude.

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9.1 Amplitude
  • A good way to find the amplitude of a water wave
    is to measure the distance between the highest
    and lowest points on the wave.
  • The amplitude is half this distance.

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9.1 Graphs of harmonic motion
  • A graph is a good way to show harmonic motion
    because you can quickly recognize cycles.
  • Graphs of linear motion do not show cycles.

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9.1 Natural frequency and resonance
  • The natural frequency is the frequency (or
    period) at which a system naturally oscillates.
  • Every system that oscillates has a natural
    frequency.

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9.1 Natural frequency and resonance
  • You can get a swing moving by pushing it at the
    right time every cycle.
  • A force that is repeated over and over is called
    a periodic force.

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9.1 Natural frequency and resonance
  • Resonance happens when a periodic force has the
    same frequency as the natural frequency.
  • When this happens, each push adds to the next one
    and the amplitude of the motion grows.
  • The big amplitude of a swing is an example of
    resonance.
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