Question

a torque of 4 N.m acting on a body of mass 1 kg produecs an angular acceleration of 2 radls2 what is the moment of inertia of the body​

Answer 1

Explanation:

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Answer 2

Given :

Torque (τ) = 4 N.m

Angular Acceleration (∝) = 2 rad/sec²

To Find :

The moment of inertia of the body​

Solution :

We know, Torque (τ) = Inertia (I) × Angular Acceleration (∝)

Here, Torque (τ) = 4 N.m; Angular acceleration (∝) = 2 rad/sec²

∴ Torque (τ)      = I × ∝

⇒    4                 = I × 2

⇒    I                  = 2 Kg.m²

Therefore, the moment of inertia of the body is found to be 2 Kg.m²