A person lowers a bucket into a well by turning the hand crank, as the drawing i

Question

A person lowers a bucket into a well by turning the hand crank, as the drawing illustrates. The crank handle moves with a constant tangential speed of 1.22 m/s on its circular path. The rope holding the bucket unwinds without slipping on the barrel of the crank. Find the linear speed with which the bucket moves down the well.

A person lowers a bucket into a well by turning the hand crank, as the drawing illustrates. The crank handle moves with a constant tangential speed of 1.22 m/s on its circular path. The rope holding the bucket unwinds without slipping on the barrel of the crank. Find the linear speed with which the bucket moves down the well.

Explanation / Answer

angular speed of handle

= v/r

= 1.22/0.2 = 6.1 rad/s

liner speed of rope = 6.1*0.5

= 3.05m/s

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