Suppose the earth increases its speed of rotation . At what new time period will the weight of a body on the equator becomes zero? Take `g=10 m/s^2` and radius of the earth `R=6400 km`.

Options

A. `1//80 rad//s`
B. `1//400 rad//s`
C. `1//800 rad//s`
D. `1//1600 rad//s`

Answer

C

Explanation

`g_("equator")=g-omega^(2)R_(e)=g-omega^(2)R_(e)=0`
`omega=sqrt(g/(R_(e)))=sqrt(10/(6400xx10^(3)))=1/800 rad//s`