A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by force of 10 N as shown in figure. The…

A wheel of radius $\displaystyle 0.2$ m rotates freely about its center when a string that is wrapped over its rim is pulled by force of $\displaystyle 10$ N as shown in figure. The established torque produces an angular acceleration of $\displaystyle 2 \mathrm{rad} / \mathrm{s}^2$. Moment of intertia of the wheel is $\displaystyle \_\_\_\_$ $\displaystyle \mathrm{kg} \mathrm{m}^2$. (Acceleration due to gravity $\displaystyle =10 \mathrm{~m} / \mathrm{s}^2$ )