A flywheel is making $\frac{3000}{\pi}$ revolutions per minute about its axis. If the  moment of inertia of the flywheel about that axis is $400\, kgm^2$, its rotational kinetic  energy is 

  • A

    $2 \times 10^6\, J$

  • B

    $3 \times 10^3\, J$

  • C

    $500\,\pi^2 \,J$

  • D

    $12 \times 10^3\, J$

Similar Questions

A solid cylinder of mass $3\, kg$ is rolling on a horizontal surface with velocity $4\, m s^{- 1}$. It collides with a horizontal spring of force constant $200 \,N m^{-1}$. The maximum compression produced in the spring will be ............... $\mathrm{m}$

  • [AIPMT 2012]

If the angular momentum of a rotating body is increased by $200\ \%$, then its kinetic energy of rotation will be increased by .......... $\%$

If a sphere is rolling, the ratio of its rotational energy to the total kinetic energy is given by

  • [AIPMT 1994]

A disc of radius $1\,m$ and mass $4\,kg$ rolls on a horizontal plane without slipping in such a way that its centre of mass moves with a speed of $10\,cm/\sec .$ Its rotational kinetic energy is

Write the formula for rotational kinetic energy.