Question Detail

PHY 101 Rotational Motion Objective Question

Question

The torque τ produced by a force F acting at a point located by a position vector r from the pivot, with the force perpendicular to r, has a magnitude given by
Options
A τ = r/F
B τ = F/r
C τ = rF
Correct Answer
D τ = rF²
Correct Answer

Option C is the correct answer.

Detailed Explanation

Torque is the rotational equivalent of force. For a force applied perpendicular to the lever arm (position vector), the magnitude of the torque is simply the product of the force magnitude and the length of the lever arm: τ = rF.

Hint

When the force is perpendicular, its effectiveness in causing rotation is maximized and is simply the product of the force and the distance from the pivot.

Question Info