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. 14 in. 4 in. 2 in. (a) Find the speed of the bicycle in feet per second and miles per hour. feet per second mph (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. d = mi (c) Write a function for the distance d (in miles) a cyclist travels in terms of the time t (in seconds). mi Compare this function with the function from part (b). The function from (b) is ---Select--- The function from (c) is ---Select---
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. 14 in. 4 in. 2 in. (a) Find the speed of the bicycle in feet per second and miles per hour. feet per second mph (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. d = mi (c) Write a function for the distance d (in miles) a cyclist travels in terms of the time t (in seconds). mi Compare this function with the function from part (b). The function from (b) is ---Select--- The function from (c) is ---Select---
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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Transcribed Image Text: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.
14 in.
4 in.
2 in.
(a) Find the speed of the bicycle in feet per second and miles per hour.
feet per second
mph
(b) Use your result from
(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.
d =
mi
(c) Write a function for the distance d (in miles) a cyclist travels in terms of the time t (in seconds).
d =
mi
Compare this function with the function from part (b).
The function from (b) is ---Select---
The function from (c) is
Select--
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