A string is wrapped around the rim of a wheel of moment of inertia $0.20 kg - m^{2}$ and radius 20 cm . The wheel is free to rotate about its axis and initially the wheel is rest. The string is now pulled by a force of 20 N . The angular velocity of the wheel after 5 seconds will be (in rad/s) :-

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τ = FR = 20 × 0.2 = 4 N m α = I τ ​ = 0.20 4 ​ = 20 r a d / s 2 ω = ω 0 ​ + α t with ω 0 ​ = 0 : ω = 0 + 20 × 5 = 100 r a d / s

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