A 80 kg man weighs himself at the north pole and at the equator. Which scale...

A 80 kg man weighs himself at the north pole and at the equator. Which scale reading is higher? (The radius of the earth at the equator is 6.37 x 10⁶m). By how much? ____N

Expert Solution

The two reasons (centripetal acceleration and less g due to increased radius at the equator) have been given in the answers above, but only one answer referred to both of them, and then only suggested that it was one or the other. Well it's the combined effect of the two that reduces your equatorial weight. And (this shouldn't be too surprising) the reason Earth's equatorial radius is greater than its polar radius is in fact centripetal acceleration applied to the earth itself. Earth's huge size causes the solid materials like rock that it's made of, that are rigid on a smaller scale, to behave more like a thick liquid and be distorted in the direction of the centripetal acceleration.
Note that you won't see your weight difference on a weight-balance type scale, since those weights are subject to the same centripetal and gravitational accelerations as you are. Only a spring-based scale can measure these differences.

genius_generous answered 6 months ago

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