Question

Approximate how many inches the weight rise if r=10 inches and the pulley is rotated through an angle of 52.5 degrees?

Answer 1

`9.16` inches

Explanation:

With a radius of 10 inches, the pulley circumference is:
`C = 2pir = 62.83` inches

The ratio of the rotated angle to the full circle is:
`52.5/360 = 0.146`

The ratio of the circumference used (distance the load is raised) is the same, so the rise is:
`0.146 xx 62.83 = 9.16` inches