The angular retardation of a rotating flywheel is proportional to the angle through which it rotates. If its kinetic energy gets reduced by Δ E while it rotates through an angle θ , then

Question

The angular retardation of a rotating flywheel is proportional to the angle through which it rotates. If its kinetic energy gets reduced by &#916; E while it rotates through an angle &#952; , then

Aicharya · Accepted Answer

Using work energy theorem-

Work done=change in kinetic energy

Torque $(τ) \times$ Angular displacement $(θ) =$ $∆ E$

Given,

Torque $(τ) = k θ$ (here $k$ is any constant)

$\Rightarrow ∆ E = k θ \times θ = k θ^{2}$

$\Rightarrow ∆ E \propto θ^{2}$

The angular retardation of a rotating flywheel is proportional to the angle through which it rotates. If its…

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