Question

The product of moment of inertia and rotational acceleration is called

Answer 1

The product of moment of inertia and rotational acceleration is nothing but called torque or moment of force.

• Torque is the rotational analogue of linear force, denoted by the Greek Letter τ (Tau). It is a vector quantity.

• It is measured as the cross product of the linear force and the perpendicular distance between the line of action of force and the axis of rotation.

τ = r × F

• By the application of Newton's Second Law of Motion in rotational motion, we get that torque is the rate of change of angular momentum L.

τ = dL / dt

From this we get that

τ = Iα

where I is the moment of inertia and α, angular acceleration.

•. Its unit is Nm and dimension is [M L^2 T^(-2)].

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Answer 2

Rotational inertia is important in almost all physics problems that involve mass in rotational motion. It is used to calculate angular momentum and allows us to explain (via conservation of angular momentum) how rotational motion changes when the distribution of mass changes.