The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 40 rpm. A. Calculate the angular speed of the pedal sprocket in radians per minute.

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13 inch
wheel radius
2 inch
wheel sprocket radius
4 inch
pedal sprocket radius
The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4
in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 40
rpm.
A. Calculate the angular speed of the pedal sprocket in radians per minute.
2
Transcribed Image Text:13 inch wheel radius 2 inch wheel sprocket radius 4 inch pedal sprocket radius The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 40 rpm. A. Calculate the angular speed of the pedal sprocket in radians per minute. 2
B. Imagine a point moving along the edge of the pedal sprocket. How fast would this point be
moving in inches per minute.
C. What is the speed of the chain in inches per minute?
D. Calculate the angular speed of the wheel sprocket.
E. What is the angular speed of the wheel?
F. Find the speed of a point on the edge of the wheel
in inches per minute.
G. Find the speed of the bicycle on the road in miles per hour.
Transcribed Image Text:B. Imagine a point moving along the edge of the pedal sprocket. How fast would this point be moving in inches per minute. C. What is the speed of the chain in inches per minute? D. Calculate the angular speed of the wheel sprocket. E. What is the angular speed of the wheel? F. Find the speed of a point on the edge of the wheel in inches per minute. G. Find the speed of the bicycle on the road in miles per hour.
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