STANDARDPhysics-Rotational Motion

STANDARD Physics Angular Position and Torque MCQ Question

Type: MCQ-conceptual-Medium

The instantaneous angular position of a point on rotating wheel is given by the equation θ(t) = 2t³ – 6t². The torque on the wheel becomes zero at

A

t = 1 s

B

t = 0.5 s

C

t = 0.25 s

D

t = 2 s

Correct Answer

Option A

Detailed Explanation

The angular acceleration α is the second derivative of θ(t), which is 12t - 12. Setting α = 0 gives 12t - 12 = 0, so t = 1 s.

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