Asmall grinding wheel has a moment of inertia of 4.0×10−5 kg⋅m2 . what net torque must be applied to the wheel for its angular acceleration to be 150 rad/s2 ?

0.006 Nm

Explanation:

The relationship between angular acceleration, net torque and moment of inertia for rotational motion is similar to the Newton's Second Law for linear motion ():

where

is the net torque

I is the moment of inertia

is the angular acceleration

In this problem, we have:

is the moment of inertia

is the angular acceleration

Substituting numbers into the equation, we find the net torque that should be applied: