ω = 2π/T
The earth's radius is 6.37 x 106 m; it rotates once every 24 hours.
a) What is the earth's angular speed?
b) Viewed from a point above the north pole, is the angular velocity positive or negative?
c) What is the speed of a point on the equator?
d) What is the speed of a point on the earth's surface halfway between the equator and the pole? (Hint: what is the radius of the circle in which the point moves?)