A) \[\frac{1}{80}rad/s\]
B) \[\frac{1}{400}rad/s\]
C) \[\frac{1}{800}rad/s\]
D) \[\frac{1}{1600}rad/s\]
Correct Answer: C
Solution :
Acceleration due to gravity at equator \[g'=g-{{R}_{e}}{{\omega }^{2}}\] For the weight at equator to be zero, \[g'=0\] \[\therefore \] \[g={{R}_{e}}{{\omega }^{2}}\] or \[\omega =\sqrt{\frac{g}{{{R}_{e}}}}\] \[=\sqrt{\frac{10}{6400\times 1000}}=\frac{1}{80\times 10}\] \[=\frac{1}{800}rad/s\]
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