you put a 10 kg object on a bathroom scale at the North Pole, and the scale read
ID: 2089689 • Letter: Y
Question
you put a 10 kg object on a bathroom scale at the North Pole, and the scale reads exactly 10 kg (actually, it measures the force FN that the scale exerts on the object, but displays a reading in kg). At the north pole you are 6357 km from the center of the Earth. At the equator, the scale reads a different value due to two effects: (1) The Earth bulges out at the equator ( due to its rotation), and you are 6378 km from the center of the Earth. (2) You are moving in a circular path due to the rotation of the Earth ( one rotation every 24 hours). Taking into account both of these effects, what does the scale read at the equator?Explanation / Answer
The value of g at different latitudes is well established and well measured. At sea level, the the effective (measured) value of g:
g (At 0* -at equator) = 9.78039 m/sec^2
g (90* -at North pole) = 9.83217 m/sec^2
Thus you weigh more on the pole...
The difference in g values is about 0.05178 m/sec^2
thus using the above fact we get
weight at equator=10*9.78039/9.83217=9.947kg
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