A CD with a diameter of 12.0 cm starts from rest and with a constant angular acc

Question

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec2 acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the tangential velocity of a point 4.0 cm from the center at the time 10.0 seconds from the start?

A. .5 rad/s

B. .4 rad/s

C. .3 rad/s

D. .2 rad/s

E. .1 rad/s

Does anyone know the answer to this and can you show your work to prove it?

Explanation / Answer

time to attain 5 rad/sec

wf = wi + alpha x t

5 = 0 + 1 x t

t = 5 sec

at t= 10 sec w = 5 rad/s

v = w.r = 5 x 0.04 = 0.2Ans. D

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