A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk An external torque is applied to the disk

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🧑‍🏫 Author: Aditya Bhatt Sir   |   🕒 Last Updated: July 13, 2025

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📘Question

A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk. An external torque is applied to the disk such that
θ(t) = 5t^2 – 8t, where θ(t) is the angular position of the rotating disc as a function of time t. How much power is delivered by the applied torque, when t = 2s? 

(1) 60 MR^2 

(2) 72 MR^2 

(3) 108 MR^2 

(4) 8 MR^2        (JEE-2025) 

✅ Answer

Ans. (1)

A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk. An external torque is applied to the disk such that θ(t) = 5t^2 – 8t, where θ(t) is the angular position of the rotating disc as a function of time t. How much power is delivered by the applied torque, when t = 2s?  (1) 60 MR^2  (2) 72 MR^2  (3) 108 MR^2  (4) 8 MR^2 

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