## Related questions with answers

Question

A waterwheel with diameter 12 ft turns at 0.3 rad/s}.

The waterwheel is connected by an axle to a grindstone with diameter 3 ft. What is the angular velocity of points on the rim of the grindstone?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2## Knowns & Concept

When two solid rotating bodies are connected by an axle, then their angular velocities must be the same.

- Hence, the angular velocity of the grindstone must be

$\boxed{\omega=0.3\, \dfrac{\text{rad}}{\text{s}}}$

independently of it's radius. This is angular velocity for all points on the grindstone.

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