Use conservation of energy to determine the angular speed of the spool shown in
ID: 1287682 • Letter: U
Question
Use conservation of energy to determine the angular speed of the spool shown in the figure below after the 3.00-kg bucket has fallen 4.25 m, starting from rest. The light string attached to the bucket is wrapped around the spool and does not slip as it unwinds. rad/s
Use conservation of energy to determine the angular speed of the spool shown in the figure below after the 3.00-kg bucket has fallen 4.25 m, starting from rest. The light string attached to the bucket is wrapped around the spool and does not slip as it unwinds. rad/sExplanation / Answer
The required angular speed is,
w = [2mg(y2 - y1) / (m + 0.5 M)r2] 1/2
= [2(3.00 kg)(9.8 m/s2)(4.25 m) / (3.00 kg + (0.5)(5.00 kg)(0.600 m)2)]1/2
= 11.23 rad/s
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