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

Question

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, 24 rad, 48 rad, 72 rad, 96 rad

MARKS App · Accepted Answer

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 .

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