The angular speed of Earth around its own axi | vedclass

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Question

(A) The angular speed $\omega$ is given by the formula $\omega = \frac{2\pi}{T}$.Here,$T$ is the time period of rotation of the Earth about its own ax

Vedclass · Accepted Answer

$\frac{\pi}{43200}$

Vedclass · Answer

(A) The angular speed $\omega$ is given by the formula $\omega = \frac{2\pi}{T}$.Here,$T$ is the time period of rotation of the Earth about its own axis,which is $24 	ext{ hours}$.Converting the time period into seconds: $T = 24 	imes 60 	imes 60 	ext{ s} = 86400 	ext{ s}$.Substituting the value of $T$ in the formula: $\omega = \frac{2\pi}{86400} 	ext{ rad/s}$.Simplifying the expression: $\omega = \frac{\pi}{43200} 	ext{ rad/s}$.Therefore,the correct option is $A$.

The angular speed of Earth around its own axis is ......... $rad/s$.

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