The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the
Chapter 5, Problem 116(choose chapter or problem)
The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4 inches, 2 inches, and 14 inches, respectively. A cyclist is pedaling at a rate of 1 revolution per second.
(a) Find the speed of the bicycle in feet per second and miles per hour.
(b) Use your result from part (a) to write a function for the distance d (in miles) a cyclist travels in terms of the number n of revolutions of the pedal sprocket.
(c) Write a function for the distance d (in miles) a cyclist travels in terms of time t (in seconds). Compare this function with the function from part (b).
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