A) \[\frac{1}{800}rad/s\]
B) \[\frac{1}{400}rad/s\]
C) \[\frac{1}{600}rad/s\]
D) \[\frac{1}{100}rad/s\]
Correct Answer: A
Solution :
\[{g}'=g-{{\omega }^{2}}R{{\cos }^{2}}\lambda \] For weightlessness at equator \[\lambda =0{}^\circ \] and \[g'=0\] \ \[0=g-{{\omega }^{2}}R\]Þ \[\omega =\sqrt{\frac{g}{R}}=\frac{1}{800}\frac{rad}{\sec }\]
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