If the earth were to spin faster, acceleration due to gravity at the poles

Question

If the earth were to spin faster, acceleration due to gravity at the poles (A) increases (B) decreases (C) remains the same (D) depends on how fast it spins

Tardigrade Admin · Accepted Answer

The variation of g with angular velocity

(ω)

is given by

g^{'} = g - R ω^{2}

If earth were to spin faster, that is angular velocity increases, then except at poles, the weight of bodies will decrease at all places.

Q. If the earth were to spin faster, acceleration due to gravity at the poles

increases

decreases

remains the same

depends on how fast it spins

The variation of g with angular velocity (ω) is given by g′=g−Rω2 If earth were to spin faster, that is angular velocity increases, then except at poles, the weight of bodies will decrease at all places.

The variation of g with angular velocity $(ω)$ is given by
$g^{'} = g - R ω^{2}$
If earth were to spin faster, that is angular velocity increases, then except at poles, the weight of bodies will decrease at all places.