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 1.74 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.

Answer 1

0.435 m/s

Step-by-step explanation:

Assuming that the missing sketch is what I've attached,

length of the handle = 0.2 m

Tangential speed (v) = 1.74 m/s

angular speed
`\omega =\frac {v}{r} = \frac {1.74}{0.2} =8.7 rad/s`

The rod where bucket tied through the rope

Radius = 0.1/2 = 0.05 m

`v=\omega r`

v= 8.7*0.05 = 0.435 m/s