A bucket in an old well is hoisted upward by a rope which winds up on a cylinder having a radius of 0.050 m.How many rev/s must the cylinder turn if the bucket is raised at a speed of 0.15 m/s?
A)3.0 rev/s
B)1.5 rev/s
C)0.48 rev/s
D)0.24 rev/s

Question

Quizplus · Accepted Answer

The speed of the bucket (v) is related to the angular speed (ω) of the cylinder and its radius (r) by the equation v = ωr, where ω is in radians per second. To find the revolutions per second, we first solve for ω: ω = v/r = 0.15 m/s / 0.050 m = 3 rad/s. Since 1 revolution is 2π radians, we convert ω to rev/s: 3 rad/s / (2π rad/rev) ≈ 0.48 rev/s.

A Bucket in an Old Well Is Hoisted Upward by a Rope