Rotating%20Spring

1
Rotating Spring

• Problem
• A helical spring is rotated about one of its
  ends around a vertical axis. Investigate the
  expansion of the spring with and without an
  additional mass attached to its free end.

2
Overview

• Experimental Setup
• Experimental Approach and Details
• Experimental Results
• Statistics and Graphics
• Theory
• The Physics Behind Rotating Spring
• Comparison
• Matching of Theory and Results
• Conclusion

3
Experimental Setup
Vertical Axis
Helical Spring
4
Experimental Details

• Relevant Parameters
• m (mass of spring) 2.3 g
• M (additional mass) 1.0, 2.0, 5.0 g
• ? (angular velocity)
• lo (original length) 2.6 cm
• k (force constant) 2.5 N/m

5
Experiment

• Spring without mass

5
10
15
20
25
30
35
40
45
48
6
Results Without mass
7
Experiment II

• Spring with mass

5
10
15
20
25
30
35
40
45
48
8
Results With mass of 1 g
9
Results With mass of 2 g
10
Results With mass of 5 g
11
Theory Concept
Net force of Spring Centrifugal Force
12
Theory parameters
13
Theory
Newtons second law of motion in equilibrium
Continuum Limit
14
Theory
General Solution
Sinusoid formula
15
(No Transcript)
16
Fitting 0 g
17
Fitting 1 g
18
Fitting 2 g
19
Fitting 5 g
20
Conclusion

• Without mass
• Distribution of the spring is nonuniform
• Denser at further end of the spring

21
Conclusion

• With mass
• More uniform distribution of the spring

22
Conclusion

• The variation of the length of spring at the end
  increases as