What is the angular velocity of the Earth?

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Question

(A) The angular velocity $\omega$ is given by the formula $\omega = \frac{2\pi}{T}$,where $T$ is the time period of rotation of the Earth.For the Eart

Vedclass · Accepted Answer

$\frac{2\pi}{86400} 	ext{ rad/s}$

Vedclass · Answer

(A) The angular velocity $\omega$ is given by the formula $\omega = \frac{2\pi}{T}$,where $T$ is the time period of rotation of the Earth.For the Earth,the time period of one complete rotation is $24 	ext{ hours}$.Converting this time into seconds: $T = 24 	imes 60 	imes 60 	ext{ s} = 86400 	ext{ s}$.Therefore,the angular velocity is $\omega = \frac{2\pi}{86400} 	ext{ rad/s}$.Thus,the correct option is $A$.

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