Speed of a Bicycle 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 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). Compare this function with the function from part (b).
Speed of a Bicycle 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 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). Compare this function with the function from part (b).
Solution Summary: The author calculates the speed of a bicycle in feet per second and miles per hour if the radii of the pedal sprocket and the wheel are 4inches, 2
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 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 cyclisttravels 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). Compare this function with the function from part (b).
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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