Question

A constant torque of 31.4 Nm is exerted on a pivoted wheel. If angular acceleration of wheel is $4\pi rad{s}^{-2}$, then the moment of inertia of wheel is

• A. $3.5kg{m}^2$
• B. $2.5kg{m}^2$
• C. $4.5kg{m}^2$
• D. $5.5kg{m}^2$

Answer 1

The correct option is B $2.5kg{m}^2$

$\tau =31.4Nm,\alpha =4\pi rad{s}^{-2}\tau =I\alpha \Rightarrow I=\frac{31.4}{4\pi }=2.5kg{m}^2$