Question

The earth (of radius of 6371km) rotates on itself at a rate of one revolution every 24 hours and is titled by an angle of 23.5°. Let's assume that the earth is a perfect sphere, which allows us to consider a uniform circular motion 23.5 R equator Figure 1: Earth rotation Everybody on earth share the same time of rotation, but based on their location on the earth, they wil have different velocities. A person located in Hawaii, at an angle of 21.3° above the equator will have different linear velocity than a person located at the equator. The difference in velocities comes from the fact that the radius around which they rotate is different, as show in Figure (1). Assuming that the earth is spherical, that there is no sinificant variation in the earth's rotation over a complete cycle, and using the fundamental definition of velocity: dr dt 4) Using the functional form of the centripetal acceleration for a person in Hawaii, take the limit as θ goes to 900 to deduce the magnitude of the cen- tripetal acceleration at the pole. Using Newton's second law for constant mass: ertma

Answer 1