At t = 0 a flywheel is rotating with angular velocity ω₀. It then undergoes uniform angular acceleration for a time t₁, at the end of which the angular velocity is ω₁. How many revolutions did the flywheel make during this time interval?
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Question

At t = 0 a flywheel is rotating with angular velocity ω₀. It then undergoes uniform angular acceleration for a time t₁, at the end of which the angular velocity is ω₁. How many revolutions did the flywheel make during this time interval?

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G1 Physics · Accepted Answer

For uniform angular acceleration, angular displacement is θ=[(ω₀+ω₁)/2]t₁. Number of revolutions n=θ/(2π)=(ω₀+ω₁)t₁/(4π). Hence D.