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# Rotational Dynamics

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by

## Tyler Howard

on 2 March 2015

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#### Transcript of Rotational Dynamics

Rotational Dynamics
Purpose
The purpose of this experiment is to manipulate twerk and see its effect on angular velocity.
Variables
Independent - Torque applied by the string.
Dependent - Angular Velocity of the PVC pipe structure.
Hypothesis
If we increase the torque the string causes, the angular velocity of the PVC pipe structure will also increase in a linear fashion.
Procedure
1.) Obtain the materials required.
2.) Assemble the PVC pipe structure and place it on the ring stand.
3.) Tie a string to the structure on one end and tie the other end to a mass hanger.
4.) Load the mass hanger with the appropriate mass.
Procedure (cont.)
5.) Attach a pulley to the side of the table, then hang the string over it.
6.) Use the stopwatch to measure the time it takes for the mass to stretch the string completely out.
7.) Record the movement of the structure and count the number of rotations it made.
Procedure (cont.)
8.) Convert the number of rotations to radians, then divide by the time to get rotational velocity.
Data Table & Graph
Data Table
Error Analysis
Graph
Errors could arise from the hand timing using a stopwatch, as the amount away from the proper time will always be different. Also, the end point of the rotations per second were called out, and could been a second away from when the other end point was called. Lastly the rotations were counted by a slowed down video, however increments of a rotation between .5 and 1 full turn cannot be exactly quantified.
Conclusion
Our hypothesis was supported due to the fact that our data trended to a linear graph of y = 0.0434x + 3.5417.

Mass Velocity (Rad/Sec) Time (Sec) & Rotations
100 7.56 5.40 6.5
100 7.36 6.62 7.75
100 7.95 6.32 8
150 10.93 5.03 8.75
150 10.10 & 5.13 8.25
150 10.63 & 5.47 9.25
200 11.86 & 5.10 9.625
200 11.91 4.88 9.25
200 12.21 4.62 9.375
250 14.31 4.32 9.25
250 14.17 4.28 10.625
250 14.65 3.97
Full transcript