"The Orbit" is the ride at the amusement park which rotates passengers seated 28 feet from center of rotation at 1.8 radians/sec counterclockwise.
Write the formula which gives the angle measure in radians swept out by the rider in t seconds. Use variable a to represent angle measure in radians.
How many seconds does it take Orbit to make one full rotation?
Define the function f which provides the rider's horizontal distance in radii to right of vertical diameter in terms of a, measure of angle swept out from 3 o'clock position on the circle.