A controversy in Olympic pole-vaulting, a sport where athletes
run and jump as high as possible with the aid of a long pole,
revolves around the difference in apparent weight, caused by the
rotation of the earth. You can estimate the Earth as a perfect
sphere of radius 6.37 x 10^6 m.
(a) How much larger is the radial acceleration of a person at
the equator than at the North Pole?
(b) Where on the Earth is your apparent weight (normal force)
equal to your actual weight (force of gravity)?
(c) Is your apparent weight less than, equal to, or greater than
your actual weight when you’re located on the equator? Explain.
(d) Estimate the maximum percent difference in height between
identical pole vaults at different locations of Earth.
(e) How might you compare this effect to that of elevation
changes in the Earth and determine which produces a larger
variation?