Angular Velocity of Hand Crank & Axle

[hippolyta2078795]

I have a problem involving a hand crank, an axle, and a bucket. The crank turns the axle. The axle lowers the bucket. When someone spins a hand crank, the angular velocity of the hand crank and the axle are the same right? I think it and they seem to be the same.

The velocity of the bucket equals the linear velocity of the axle. Correct.

Sorry if my English isn't good as it is not my first language.

 

[andrewchang]

Yes, the angular velocity of the crank and axle are the same, as you stated.
The linear velocity of the axle at it's edge would be $\omega r$, which would be equal to the velocity of the bucket.