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# The earth is not a perfect sphere, its radius is not the same everywhere if so, will the value of $g$ be the same everywhere on earth?

Last updated date: 02nd Aug 2024
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Hint: The acceleration due to gravity, $g$ is the acceleration of the body falling under free fall within vacuum. It is considered at the surface of the earth. The value of the acceleration due to gravity is $9.8{\text{ }}m{s^{ - 2}}$ at the surface of the earth. This is the steady gain in the velocity caused exclusively by the force of gravitational attraction.
The acceleration caused by the combination of gravitational attraction and centrifugal force of the earth is coined as the gravity of the earth. $G$, is inversely proportional to the square of the radius of the earth. So as the radius of the earth increases from the poles to the equator, the value of the acceleration due to gravity, $g$ becomes greater at the poles than at the equator.