The London Eye is a large ferris wheel. Each sealed and air-conditioned passenger capsule holds about 25 passengers. The diameter of the wheel is 135 m, and the wheel takes about half an hour to complete one revolution.
a) Determine the exact angle, in radians, that a passenger will travel in 5 min.
b) How far does a passenger travel in 5 min.?
c) How long would it take a passenger to travel 2 radians?
d) What is the angular velocity of a passenger, in radians per second?
e) What is the angular velocity of a passenger, in degrees per second?