From a torque applied versus angular acceleration graph for the rotation of a rigid body about a fixed axis, the body's moment of inertia can be calculated as
A) the value of the torque divided by the value of the angular acceleration at a certain instant.
B) the value of the torque multiplied by the value of the angular acceleration at a certain instant.
C) the area bounded by the curve and the torque axis.
D) the area bounded by the curve and the angular acceleration axis.
E) the slope of the curve.

Question

Quizplus · Accepted Answer

The moment of inertia of a rigid body in rotational motion is analogous to mass in linear motion and can be calculated from the slope of the torque versus angular acceleration graph, according to the equation τ = Iα, where τ is the torque, I is the moment of inertia, and α is the angular acceleration.

From a Torque Applied Versus Angular Acceleration Graph for the Rotation