Physics Question from JEE Main 2025 · 2 April, Shift 2

A wheel of radius $0.2 \, m$ rotates freely about its center when a string that is wrapped over its rim is pulled by a force of $10 \, N$ as shown in the figure. The established torque produces an angular acceleration of $2 \, rad/s^2$. Moment of inertia of the wheel is............. $kg\, m^2$.