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To find the moment of inertia of the wheel, you can use the formula:
Torque = Moment of Inertia x Angular Acceleration
Rearranging the formula, we get:
Moment of Inertia = Torque / Angular Acceleration
Plugging in the given values:
Moment of Inertia = 32 Nm / 25 rad/s^2
Calculating:
Moment of Inertia = 1.28 Nm/(rad/s^2)
So, your calculation of 1.28 kg/m^2 is incorrect. The correct unit for moment of inertia is kg.m^2.