Angular Velocity of Hand Crank & Axle

AI Thread Summary
The discussion confirms that the angular velocity of the hand crank and the axle are indeed the same when the crank is turned. It clarifies that the linear velocity of the axle at its edge is calculated using the formula ωr, which equals the velocity of the bucket being lowered. Participants agree on the relationship between the angular and linear velocities in this mechanical setup. The conversation also addresses language concerns, emphasizing clarity in technical discussions. Overall, the mechanics of the hand crank and axle system are accurately described.
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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.
 
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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.
 
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