bob begins throwing a discus with an initial angular velocity of 4 rad/s. Just before releasing the discus, bob’s angular velocity is 20 rad/s.  The distance from the axis of rotation to the discus is 75 cm and the duration of the throw is 1.0 s.  What is the linear velocity of the discus just before release?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter12: Rotation I: Kinematics And Dynamics
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bob begins throwing a discus with an initial angular velocity of 4 rad/s. Just before releasing the discus, bob’s angular velocity is 20 rad/s.  The distance from the axis of rotation to the discus is 75 cm and the duration of the throw is 1.0 s.  What is the linear velocity of the discus just before release?

Expert Solution
Step 1

Given:

Initial angular velocity (ωi) = 4 rad/s.

Final angular velocity (ωf) = 20 rad/s.

Distance of discus from axis of rotation (r) = 75 cm.

Duration of throw (t) = 1.0 s.

Step 2

The average angular velocity is,

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