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 Results Theory Comparison
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 w
Net force of Spring = Centrifugal Force

12. Theory parameters Centrifugal Force: Force to the right:Δ ηi
ηi+1
ηi-1
Centrifugal Force:
Force to the right:
Force to the left:

13. Theory
Newton’s second law of motion in equilibrium:
Continuum Limit:

14. Theory
General Solution:
Sinusoid formula

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: