STANDARDPhysics-Rotational Motion
STANDARD Physics Torque and Angular Acceleration MCQ Question
Type: MCQ-numerical-Medium
A grindstone has a moment of inertia of 6 kg m². A constant torque is applied and the grindstone is found to have a speed of 150 rpm, 10 seconds after starting from rest. The torque is
A
3π N m
B
3 N m
C
π/3 N m
D
4π N m
Correct Answer
Option A
Detailed Explanation
The angular velocity ω is calculated from the speed 150 rpm, which is 5π rad/s. The angular acceleration α is (5π - 0)/10 = π/2 rad/s². Torque τ = Iα = 6 × π/2 = 3π N m.
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