The relationship between the height of a point on a unicycle wheel in feet and time in seconds can be modeled by the sine function. A unicycle wheel has a diameter of 2 ft. A marker was placed on the wheel at time t=0 s with a height of h=0 ft. When Esteban is riding the unicycle, it takes
π/2 s for the unicycle wheel to make one complete revolution.
a.
What is the period of the function?
b.
What is the amplitude of the function?
c.
Write an equation to represent this situation.
d.
Graph the function.
e.
How many revolutions will the unicycle wheel make in 4π s when Esteban is riding the unicycle?
