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lyudmila [28]
3 years ago
14

A person lowers a bucket into a well by turning the hand crank, as the drawing illustrates. The crank handle moves with a consta

nt tangential speed of 1.81 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.
Physics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

0.453 m/s

Explanation:

Assuming the handle has diameter of 0.4 m while inner part diameter is 0.1 m then the circumference of outer part is \pi d_h where d is diameter and subscript h denote handle. By substituting 0.4 for the handle's diameter then cirxumference of outer part is \pi\times 0.4\approx 1.256 m

The rate of rotation will then be 1.81/1.256=1.441 rev/s

Similarly, circumference of inner part will be \pi d_i where subscript i represent inner. Substituting 0.1 for inner diameter then

\pi\times 0.1\approx 0.3142 m

The rate of rotation found for outer handle applies for inner hence speed will be 0.3142*1.441=0.453 m/s

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