There is a magic item in Dungeons & Dragons called The Baton of Many Sizes, which is a staff that can magically change lengths between 0.305 m (1 foot) long and 15.2 m (50 feet) long, though it always has a mass of 3.18 kg.  Assume the moment of inertia of the staff is 112mL2112mL2  where L is the total length.  The angular acceleration is 4.9075 rad/s^2, the angular velocity is 17.57 rad/s. The staff then shrinks to a length of 1.12 m while no longer applying any torque.  What is the staff’s new angular velocity?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 69PQ: The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is...
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There is a magic item in Dungeons & Dragons called The Baton of Many Sizes, which is a staff that can magically change lengths between 0.305 m (1 foot) long and 15.2 m (50 feet) long, though it always has a mass of 3.18 kg.  Assume the moment of inertia of the staff is 112mL2112mL2  where L is the total length.  The angular acceleration is 4.9075 rad/s^2, the angular velocity is 17.57 rad/s. The staff then shrinks to a length of 1.12 m while no longer applying any torque.  What is the staff’s new angular velocity? 

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