A constant torque of 1000 N-m turns a wheel of moment of

A constant torque of 1000 N-m turns a wheel of moment of inertia 200 kg-m² about an axis through its centre. Its angular velocity after 3 seconds is

τ = 1000 N - m, I = 200 kg-m²
∴ Iα = 1000
⇒ α = 1000/200 = 5 rad/sec²
ω = ω₀ + αt = 0 + 3 × 5 = 15 rad/s