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.

 

[quicknote]

I can confirm that the angular velocity of the hand crank and the axle are indeed the same. This is because the hand crank is directly connected to the axle, and any rotation of the hand crank will result in the same rotation of the axle. This concept is known as the principle of conservation of angular momentum.

Furthermore, the linear velocity of the bucket is directly related to the angular velocity of the axle. This is due to the fact that the bucket is attached to the axle and will move at the same speed and direction as the axle.

I can understand that English may not be your first language, but your understanding of the relationship between the hand crank, axle, and bucket is correct. I hope this explanation helps clarify any confusion.