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Updated on : 2022-09-05

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$W=m×g$ ........... 1

Where, $W$ = Weight

$m$ = mass

$g$ = Acceleration due to gravity

Since, mass is constant all the time, so,

$W∝g$ ........2

And we also know that ,

$g=GR_{2}M $

Where, $G$ = Gravitational Constant

$R$ = Radius of earth

$M$ = Mass of earth

So, $g∝R_{2}1 $ .......... 3

From equations $2$ and $3$ , we get ,

$W∝R_{2}1 $

Since $R$ is minimum at poles , and weight is maximum at poles and similarly since $R$ is maximum at equator, so weight is minimum at equator.

Hence, we weigh more at poles than at equator

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