Q. What is the angular velocity of earth?
A) $\frac{2\pi}{86400}rad\ s^{- 1}$
B) $\frac{2\pi}{3600}rad\ s^{- 1}$
C) $\frac{2\pi}{24}rad\ s^{- 1}l$
D) $\frac{2\pi}{6400}rad\ s^{- 1}$
Explanation
(a) Time period of earth on its own axis
$T = 24\ h$
$= 24 \times 60 \times 60\ s$
$\therefore Angular\ velocity\ \omega = \frac{2\pi}{T}$
$= \frac{2\pi}{24 \times 60 \times 60\ }$
$= \frac{2\pi}{86400}{rads}^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.