A disk with a rotational inertia of 7.46 kg·m2 rotates like a merry-go-round while undergoing a torque given by τ = (5.54 + 7.56t) N · m. At time t = 1.00 s, its angular momentum is 8.05 kg·m2/s. What is its angular momentum at t = 3.00 s?

A disk with a rotational inertia of 7.46 kg·m2 rotates like a merry-go-round while undergoing a torque given by τ = (5.54 + 7.56t) N · m. At time t = 1.00 s, its angular momentum is 8.05 kg·m2/s. What is its angular momentum at t = 3.00 s?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 47PQ

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Question

A disk with a rotational inertia of 7.46 kg·m² rotates like a merry-go-round while undergoing a torque given by τ = (5.54 + 7.56t) N · m. At time t = 1.00 s, its angular momentum is 8.05 kg·m²/s. What is its angular momentum at t = 3.00 s?

Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

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