[25 points; show the details of your calculations; put a box around each final .

Question

[25 points; show the details of your calculations; put a box around each final .]

A horizontal uniform solid disk of mass 3 kg and radius 2 m starts from rest and rotates, about a vertical axis through its center, with a constant angular acceleration. At 0.5 s, it is rotating with an angular speed of 4 rad/s.

A. Through what angle has the disk turned during the first 0.5 s?

B. What is the angular acceleration of the disk?

C. How fast is a point on the rim moving at 0.5 s?

D. What is the angular momentum of the disk at 0.5 s?

E. What torque is being applied to the disk?

Explanation / Answer

B) angular acc= 4/0.5 = 8 rad/s2

using 2nd NLM

A) theta = 0.5*8* 0.5*0.5 = 1rad

c) speed = wR = 4*2 = 8 m/s

D)angular momentum = Iw = 3(2*2)/2 *4 = 24

E) torque = I alpha = 3(2*2)/2 * 8 =48

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