Question Detail

PHY 101 Rotational Motion Objective Question

Question

If a net torque of 8 N m acts on a wheel with a moment of inertia of 2 kg m², what is its angular acceleration?
Options
A 16 rad/s²
B 4 rad/s²
Correct Answer
C 0.25 rad/s²
D 10 rad/s²
Correct Answer

Option B is the correct answer.

Detailed Explanation

Applying Newton's second law for rotation, ∑τ = Iα, we can solve for angular acceleration α = ∑τ / I. Substituting the given values, α = (8 N m) / (2 kg m²) = 4 rad/s².

Hint

Use the rotational analog of Newton's second law: angular acceleration equals net torque divided by moment of inertia.

Question Info