# Answer to Question #9984 in Mechanics | Relativity for leon

Question #9984

if radius of the earth (assuming perfect sphere)is decreased keeping its mass constant ,effective value of g will increase at poles while may increase or decrease at equator.WHY??

Expert's answer

g = G*M / R^2

The value of g changes from place to place due to the

elliptical shape

of the Earth and the rotation of the Earth. Due to the shape

of the

Earth, g is inversely proportional to the square of the radius.

It

is least at the equator and maximum at the poles, since the

equatorial radius

(6378.2 km) is more than the polar radius (6356.8

km)

The value of g changes from place to place due to the

elliptical shape

of the Earth and the rotation of the Earth. Due to the shape

of the

Earth, g is inversely proportional to the square of the radius.

It

is least at the equator and maximum at the poles, since the

equatorial radius

(6378.2 km) is more than the polar radius (6356.8

km)

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