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A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk. An external torqu…

Q1

A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk. An external torque is applied to the disk such that \(\theta (t)=5{t}^{2}-8t\), where \(\theta (t)\) is the angular position of the rotating disc as a function of time \(t\).
How much power is delivered by the applied torque, at \(t=2\mathrm{s}\)?

a

\(72{\mathrm{MR}}^{2}\)

b

\(8{\mathrm{MR}}^{2}\)

c

\(108{\mathrm{MR}}^{2}\)

d

\(60{\mathrm{MR}}^{2}\)

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