A) 1
B) 8.5
C) 17
D) 34
Correct Answer: C
Solution :
Earth rotates about its own axis in 24 h. So, \[T=24\times 60\times 60\text{ }s\] So, angular speed of earth about its own axis \[\omega =\frac{2\pi }{T}=\frac{2\pi }{24\times 60\times 60}rad/s\] At equator, g' = g - R^'2 \[g'=g-{{R}_{e}}{{\omega }^{'2}}\] or \[0=g-{{R}_{e}}{{\omega }^{'2}}\] or \[\omega '=\sqrt{\frac{g}{{{R}_{e}}}}=\frac{2\pi }{84.6\times 60}\] \[\therefore \] \[\frac{\omega '}{\omega }=\frac{24\times 60\times 60}{84.6\times 60}\approx 17\] \[\Rightarrow \] \[\omega '=17\,\omega \] So, value of \[x\] is 17.
You need to login to perform this action.
You will be redirected in
3 sec
