Find total length of cable coiled around drum in given time


A 50 kg winding drum 75 cm in diameter is used to reel in cable. It is moving at the rate of 2 revolutions per second. The rotation rate then increases by 5.25 rad/s2 for the next 1.5 seconds. It rotates at the new rate for three seconds. Finally it comes to a stop in one half a rotations. What was the total length of cable coiled around the drum during the entire time?

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Mechanical Engineering: Find total length of cable coiled around drum in given time
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