A drum rotates around its central axis at an angular velocity of 12.60 rad/s. If the drum then slows at a constant rate of 4.20 rad/s 2 , (a) how much time does it take and (b) through what angle does it rotate in coming to rest

(a) t=3s

(b) β=18.9rad

Explanation:

Given data

Part(a)

From the equation of angular motion to find time

So:

Part(b)

From the equation of simple motion to find angle β

So

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