JEE Main 2024 Physics question
A string is wrapped around the rim of a wheel of moment of inertia 0.40 kgm² and radius 10 cm. The wheel is free to rotate about its axis. Initially the wheel is at rest. The string is now pulled by a force of 40 N. The angular velocity of the wheel after 10s is x rad/s, where x is .
Answer: 100
Solution
τ = FR = Iα gives α = 40 × 0.1/0.4 = 10 rad/s². After 10 s, ω = αt = 100 rad/s.