Solution Found!
Answer: While riding a multispeed bicycle, the rider can
Chapter 9, Problem 71P(choose chapter or problem)
Problem 71P
While riding a multispeed bicycle, the rider can select the radius of the rear sprocket that is fixed to the rear axle. The front sprocket of a bicycle has radius 12.0 cm. If the angular speed of the front sprocket is 0.600 rev/s, what is the radius of the rear sprocket for which the tangential speed of a point on the rim of the rear wheel will be 5.00 m/s? The rear wheel has radius 0.330 m.
Questions & Answers
QUESTION:
Problem 71P
While riding a multispeed bicycle, the rider can select the radius of the rear sprocket that is fixed to the rear axle. The front sprocket of a bicycle has radius 12.0 cm. If the angular speed of the front sprocket is 0.600 rev/s, what is the radius of the rear sprocket for which the tangential speed of a point on the rim of the rear wheel will be 5.00 m/s? The rear wheel has radius 0.330 m.
ANSWER:
Step 1 of 5
The front sprocket of bicycle has radius =12 cm rotating with frequency
=0.6 rev/s. The tangential speed of the rim of rear wheel is v=5 m/s with rear wheel radius
= 0.330 m. We need to calculate the radius of the rear sprocket to achieve given tangential speed.
Given data,
front sprocket radius =12 cm
front sprocket frequency =0.6 rev/s
rear wheel rim speed v=5 m/s
rear wheel radius = 0.330 m
To find,
Angular speed of rear wheel , =?
Frequency of the rear wheel, =?
Radius of the rear sprocket, r=?