Question Detail

PHY 101 Rigid Body Dynamics Objective Question

Question

A constant force F is applied tangentially along the rim of a flywheel of radius r. If the flywheel has a moment of inertia I and experiences an angular acceleration α, which equation relates these quantities?
Options
A F = I α / r
Correct Answer
B F = I α r
C F = I r / α
D F = α r / I
Correct Answer

Option A is the correct answer.

Detailed Explanation

The torque produced by a tangential force F at a distance r from the axis is τ = F r. Newton's second law for rotation states τ = I α. Equating these gives F r = I α, which can be rearranged to solve for the force: F = (I α) / r.

Hint

Relate the torque due to the tangential force to the torque required for the given angular acceleration.

Question Info