Angular Velocity of Hand Crank & Axle

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SUMMARY

The discussion confirms that the angular velocity of a hand crank and its connected axle are indeed the same when the crank is turned. This relationship is established through the principle that the linear velocity of the axle at its edge, calculated as ωr (where ω is the angular velocity and r is the radius), directly corresponds to the linear velocity of the bucket being lowered. Therefore, both the crank and axle maintain a consistent angular velocity during operation.

PREREQUISITES
  • Understanding of angular velocity and linear velocity concepts
  • Familiarity with the relationship between radius and velocity in rotational systems
  • Basic knowledge of mechanics involving cranks and axles
  • Ability to interpret mathematical expressions such as ωr
NEXT STEPS
  • Explore the principles of rotational dynamics in physics
  • Learn about the calculations involved in angular and linear velocity
  • Investigate mechanical systems involving gears and pulleys
  • Study real-world applications of hand cranks in engineering
USEFUL FOR

Students of physics, mechanical engineers, and hobbyists interested in mechanical systems involving cranks and axles will benefit from this discussion.

hippolyta2078795
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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 [itex]\omega r[/itex], which would be equal to the velocity of the bucket.
 

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