Where will you weigh more: at the equator or at the poles?
I will weigh more at poles and weigh less at the equator since weight is the amount of force with which an object is pulled towards the centre of earth.
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 =
Where, G = Gravitational Constant
R = Radius of earth
M = Mass of earth
So, g …..3
From equations 2 and 3, we get,
W
Since R is minimum at poles, so 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.