Answer
$7.3\times 10^{-5}\ rad/s $
Work Step by Step
Time taken by the earth to complete one rotation is:
$t =23\ hours\ 56 min\ 4.1\ s$
Converting time to seconds:
$t= (23\times 60\times 60\ s)+(56\times 60\ s)+4.1\ s$
$t = 82800\ s + 3360\ s + 4.1\ s = 86164.1\ s$
Therefore, the Angular speed is:
$\omega = \frac{2\pi}{t}$
$\omega = \frac{2\pi}{86164.1\ s}$
$\omega = 7.292\times 10^{-5} = 7.3\times 10^{-5}\ rad/s $
