A) \[\frac{2\pi }{86400}\text{rad/s}\]
B) \[\frac{2\pi }{3600}\text{rad/s}\]
C) \[\frac{2\pi }{24}rad/s\]
D) \[\frac{2\pi }{6400}\text{rad/s}\]
Correct Answer: A
Solution :
Time period of earth on its own axis \[T=24\,h\] \[=24\times 60\times 60\,s\] \[\therefore \] Angular velocity \[\omega =\frac{2\pi }{T}\] \[=\frac{2\pi }{24\times 60\times 60}\] \[=\frac{2\pi }{86400}\,\,\text{rad/s}\]
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