If the Earth suddenly stops rotating about it | vedclass

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(A) The rotational kinetic energy of the Earth is converted into heat energy when it stops rotating.Rotational Kinetic Energy $K = \frac{1}{2} I \omeg

Vedclass · Accepted Answer

$\frac{R^2 \omega^2}{5Js}$

Vedclass · Answer

(A) The rotational kinetic energy of the Earth is converted into heat energy when it stops rotating.Rotational Kinetic Energy $K = \frac{1}{2} I \omega^2$.For a solid sphere,the moment of inertia $I = \frac{2}{5} M R^2$.Thus,$K = \frac{1}{2} (\frac{2}{5} M R^2) \omega^2 = \frac{1}{5} M R^2 \omega^2$.This energy is converted into heat $Q = M S \Delta 	heta$,where $M$ is the mass,$S$ is the specific heat,and $\Delta 	heta$ is the change in temperature.Using the mechanical equivalent of heat $W = JQ$,we have $\frac{1}{5} M R^2 \omega^2 = J (M S \Delta 	heta)$.Solving for $\Delta 	heta$,we get $\Delta 	heta = \frac{R^2 \omega^2}{5Js}$.

If the Earth suddenly stops rotating about its own axis,the increase in its temperature will be

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