Suppose that you are standing at 40 degrees latitude and are 2 meters tall.
[A]. Find the velocity of your feet, v, due to the rotation of Earth. Assume that Earth is a perfect sphere of radius R=6378km and that a day is exactly 24 hours long.
[B]. Using the result from part A, compute the centripetal acceleration at your feet as a=(v^2)/r.
[C]. Repeat parts A and B for your head, and compute the difference between the acceleration at your head and feet. Show how round-off can corrupt your calculations and how to fix the problem.