the bucket is hoisted by the rope that wraps around a drum wheel with a radius of 0.75 ft. if the angular velocity of the wheel is 31 rad/s, determine the speed of the bucket, in ft/s

Answer 1

Assuming no slip, we can use the following relation for linear to rotational velocity:

v = r ω

Setting r = 0.75ft and ω = 31 rad/s we get:

v = r ω = 23.25 ft/s

*Recall that "radians" are dimensionless.