1. Tardigrade
  2. Question
  3. Physics
  4. The moment of inertia of a fly wheel is 0.2kgm2 which is initially stationary. A constant external torque 5Nm acts on the wheel. The work done by this torque during 10 seconds is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The moment of inertia of a fly wheel is $0.2kgm^2$ which is initially stationary. A constant external torque 5Nm acts on the wheel. The work done by this torque during 10 seconds is

Solution:

$I=0.2kg\,m^2$
$\tau=5\,Nm$
$\omega_i=0$
$t=10\,s$
we know $\alpha=\frac{\tau}{I}=25\,rad\,s^{-2}$
$\therefore \,\theta=\frac{1}{2}\alpha\,t^2=\frac{1}{2}(25)(100)=1250$
$\therefore W=\tau\,\theta=5(1250)=6250J$