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The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration in rad s⁻² is

Asked in NEET 2022 · Equations of rotational motion

Answer: (2) 4π

Step-by-step solution

Given: N₁=1200 rpm, N₂=3120 rpm, t=16 s, uniform α.

Idea: convert both speeds to rad s⁻¹, then α=(ω₂-ω₁)/t.

ω₁=1200×(2π)/(60)=40π rad s⁻¹

ω₂=3120×(2π)/(60)=104π rad s⁻¹

α=(104π-40π)/(16)=(64π)/(16)

α=4π rad s⁻².

Why the other options are wrong

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