Physics

Problem

The table below shows measurements collected for a uniform solid disk rotating about its central axis.

Trial	Angular speed $\omega$ (rad/s)	Rotational kinetic energy $K$ (J)
1	5	0.30
2	10	1.20
3	15	2.70
4	20	4.80
5	25	7.50

a. Using the data, sketch a graph of

K

on the vertical axis versus

\omega^{2}

on the horizontal axis. Draw and label the best-fit straight line that represents the data. b. Determine the numerical value of the slope of your best-fit line. Show your method clearly. c. Using the slope, calculate the moment of inertia of the disk about its central axis. d. The disk has a mass of

2.0\,\text{kg}

and a radius of

0.15\,\text{m}

. Compare your experimental moment of inertia with the theoretical value for a uniform solid disk and compute the percent difference.

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