Question

The product of moment of inertia and angular acceleration is:
A. force
B. angular momentum
C. reflected kinetic energy
D. torque

Answer 1

Hint: In rotational motion, torque is required to generate an angular acceleration of an object. The amount of torque which is required to generate an angular acceleration depends upon the distribution of the mass of the object. The moment of inertia is the value which describes the distribution.

Complete step-by-step answer:
Torque is defined as the twisting or rotational effect of a force. It is expressed in the SI unit of Newton – metre. Angular acceleration is known as the rate of change of angular velocity. Rotational inertia is known as the tendency of a rotating object to remain rotating unless a torque is applied to it.
So, when a torque is applied to an object it begins to rotate with an acceleration which is inversely proportional to the moment of inertia. The moment of inertia is defined as the rotational mass and the torque is known as the rotational force.
It is obtained by integrating over the mass of all parts of the given object and their distances to the centre of rotation, but it is also possible to look up the moments of inertia for common shapes. The torque on a given axis is given by the product of the moment of inertia and the angular acceleration.
Thus, the product of moment of inertia and angular acceleration is torque.

So, the correct answer is “Option D”.

Note: The factors which affects the turning of force or torque are:
1) It gets affected due to the magnitude of the applied force.
2) It also changes due to the distance of the line of action of force from the point of rotation of that body.