A constant torque of 31.4 N·m acts on a pivoted wheel, causing angular acceleration 4π rad/s². Find its moment of inertia (kg·m²).
Physics · Mixed Chapter
JEE Main Practice

Question

A constant torque of 31.4 N·m acts on a pivoted wheel, causing angular acceleration 4π rad/s². Find its moment of inertia (kg·m²).

G1 Physics · Accepted Answer

Step 1: Use rotational Newton’s law τ = Iα. Step 2: I = τ/α = 31.4/(4π). Step 3: With π ≈ 3.14, I = 31.4/12.56 = 2.5 kg·m².