Does human living near equator weigh less?

Question

At North pole, F(centripedal)=mg

At the equator, F(centripedal)=mg'+mvr²

=m(g'+vr²)

g>g'

Therefore people living near equator is lighter. Is this true?

Answer 1

I'm gonna say no because the gravitational constant requires the acceleration to be the same regardless; 1G=1G.

But I won't swear to it.

Answer 2

The accelerational constant (G) is a fixed number, but in reality it varies slightly according to latitude, elevation, rock type, topography, tides, and even the moon's position. The earth's polar radius is 6356 km, while the equatorial radius is 6378 kg. In other words, the earth is slightly spherical, with the largest dimension at the equator.  The force of gravity is 9.8640 m/sec at the poles, and 9.7982 m/sec at the equator.

Another factor to consider is the rotational accelaration due to centripetal force. That accelaration will be zero on the poles, and be at its maximum on the equator.

For an object such as a human with mass m, the mass will stay the same, but the weight will change as the latitude changes due to a combination of the changing distance between centers of mass and centripetal force.  They both combine to make an object weigh slightly less on the equator.

Answer 3

No..it is not true..Wish I could weigh less!!