The earth’s radius is 6.37×106m; it rotates once every 24 hours. What is the earth’s angular speed? What is the speed of a point on the equator? What is the speed of a point on the earth’s surface located at 1/5 of the length of the arc between the equator and the pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?)
Answer:
a) w = 7.27 * 10^-5 rad/s
b) v1 = 463.1 m/s
c) v1 = 440.433 m/s