A fly wheel of mass 10 kg and radius 50 cm is rotating at a rate of 360 rpm. Assuming mass to be concentrated at the rim, the constant retarding…

A fly wheel of mass $\displaystyle 10$ kg and radius $\displaystyle 50$ cm is rotating at a rate of $\displaystyle 360$ rpm . Assuming mass to be concentrated at the rim, the constant retarding torque required to stop the rotation of wheel in $\displaystyle 6$ rotations will be $\displaystyle x \pi \mathrm{Nm}$. The value of $\displaystyle x$ is \_\_\_\_