Suppose a bicycle is traveling at a speed of 14 miles
per hour. The bicycle chain connects two gears, one attached
to the wheel and one attached to the pedals. The radius of the
bicycle wheels is 10 inches, and the radius of the gear attached
to the wheel is 1.5 inches. If the radius of the gear connected
to a pedal gear with a radius of 4 inches. Find the angular
velocity of the pedal gear in radians per second.