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# While riding a multispeed bicycle, the rider can select ISBN: 9780321675460 31

## Solution for problem 71P Chapter 9

University Physics | 13th Edition

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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.

Step-by-Step Solution:

Solution 71P Step 1 of 5: The front sprocket of bicycle has radius r =12fcm rotating with frequency f =0.6 revfs. The tangential speed of the rim of rear wheel is v=5 m/s with rear wheel radius r = w 0.330 m. We need to calculate the radius of the rear sprocket to achieve given tangential speed. Given data, front sprocket radius r =f2 cm front sprocket frequency f =0f6 rev/s rear wheel rim speed v=5 m/s rear wheel radius r =w0.330 m To find, Angular speed of rear wheel , = Frequency of the rear wheel, f = r Radius of the rear sprocket, r= Step 2 of 5: To calculate the angular speed of rear wheel, Relation between tangential speed(v) and angular speed() = v rw Where r iw radius of rear rim moving with tangential speed v. Substituting v=5 m/s and r = w.330 m 5 m/s = 0.330 m = 15.15 rev/s Step 3 of 5: To calculate the angular frequency of rear rim, From the fundamental relation of frequency, fr= 2 Substituting = 15.15 rev/s 15.15 rev/s fr= 2 f =2.41 rev r

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321675460

Since the solution to 71P from 9 chapter was answered, more than 1046 students have viewed the full step-by-step answer. The answer to “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.” is broken down into a number of easy to follow steps, and 77 words. The full step-by-step solution to problem: 71P from chapter: 9 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: rear, radius, sprocket, speed, front. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460.

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