Question

What is the angular velocity of earth?

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

Answer 1

Answer: (A)

Time period of earth on its own axis $T=24h$ $=24\times 60\times 60s$ $\therefore$ Angular velocity $\omega =\frac{2\pi }{T}$ $=\frac{2\pi }{24\times 60\times 60}$ $=\frac{2\pi }{86400}\text{rad/s}$