A flywheel at rest is to reach an angular velocity of 24 rad s - 1 in 8 s with constant angular acceleration. The total angle turned through during this interval is

Step-by-step solution

ω 0 = 0 ,   ω = 24   rad   s - 1 ,   t = 8   s ∴             α = ω - ω 0 t = 24 8 = 3  rad s - 2 θ = ω 0 t + 1 2 α t 2 = 0 + 1 2 × 3 × 8 2 = 3 × 64 2 = 96  rad .