Question

Torque of magnitude thousand newton acting on a body produces an angular acceleration of 2 radian per second square calculate moment of inertia of body

Answer 1

The moment of inertia of body is $500\ kg-m^2$.

Explanation:

Given that,

Torque acting on a body, $\tau=1000\ N-m$

Angular acceleration of the body, $\alpha =2\ rad/s$

We need to find the moment of inertia of body`. The relation for the torque in terms of angular acceleration is given by :

$\tau=I\alpha$

I is the moment of inertia

$I=\dfrac{\tau}{\alpha }$

$I=\dfrac{1000}{2}$

$I=500\ kg-m^2$

So, the moment of inertia of body is $500\ kg-m^2$. Hence, this is the required solution.

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