Question

What is the angular velocity of earth about its own axis?

• A. $\frac{2\pi }{86400}$ rad/s
• B. $\frac{2\pi }{3600}$ rad/s
• C. $\frac{2\pi }{24}$ rad/s
• D. $\frac{2\pi }{6400}$ rad/s

Answer 1

The correct option is A $\frac{2\pi }{86400}$ rad/s

Earth completes one rotation in 24 hours
$\omega =\frac{2\pi \text{rad}}{\text{1 day}}=\frac{2\pi \text{rad}}{86400s}$