If the earth stops rotating about its axis , then what will be the change in the value of g at a place in the equitorial plane ? Radius of the earth = 6400 km.

Explanation

We know that
`g_(lambda) = g - R omega^(2) cos^(2) lambda`
Change in value of g is
`g - g_(lambda) = R omega^(2) cos^(2) lambda`
For equatorial plane, `lambda = 0`
`:. g - g_(lambda) = R omega^(2)`
As `omega = 0`
`rArr g_(lambda) = g`
Hence acceleration due to gravity increases when earth stops rotating.