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a while back I asked this question and I still did not fully understand.

Suppose we have a rigid object rotating about some central point with a given linear and angular velocity, how do we then compute the angular and linear velocity of another point on the rigid body?

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    $\begingroup$ The angular velocity of a rigid body is a free vector, which means it is the same for all points on the rigid body. The same applies to angular acceleration. $\endgroup$ May 14 at 9:36

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As Mr. Hammen points out, the angular velocities are all the same. With an axis of rotation, the tangential velocity, v = rω, for each point.

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