The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4 inches, and 14 inches, respectively. A cyclist pedals 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 the time t (in seconds)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
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The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4 inches, and 14 inches, respectively. A cyclist pedals 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 the time t (in seconds)
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