# Bicycle gears: (a) How is the angular velocity wR of the

## Problem 73GP Chapter 8

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition

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Problem 73GP

Bicycle gears: (a) How is the angular velocity wR of the rear wheel of a bicycle related to the angular velocity of the front sprocket and pedals? Let NF and NR be the number of teeth on the front and rear sprockets, respectively, Fig. 8-53. The teeth are spaced the same on both sprocket: and the rear sprocket is firmly attached to the rear wheel, (b) Evaluate the ratio wR/wF when the front and rear sprockets have 52 and 13 teeth, respectively, and (c) when they have 42 and 28 teeth.

Step-by-Step Solution:

Step-by-step solution

Step 1 of 4</p>

(A) Let the spacing between the teeth on the front and rear wheel be d, and the number of teeth on the front and the rear wheel are  and  respectively.

Radii of the front and rear sprockets are .

Hence, we have

Step 2 of 4</p>

As the chain moves uniformly with a speed v on both the sprockets, we have:

Step 3 of 4

Step 4 of 4

##### ISBN: 9780130606204

The answer to “Bicycle gears: (a) How is the angular velocity wR of the rear wheel of a bicycle related to the angular velocity of the front sprocket and pedals? Let NF and NR be the number of teeth on the front and rear sprockets, respectively, Fig. 8-53. The teeth are spaced the same on both sprocket: and the rear sprocket is firmly attached to the rear wheel, (b) Evaluate the ratio wR/wF when the front and rear sprockets have 52 and 13 teeth, respectively, and (c) when they have 42 and 28 teeth.” is broken down into a number of easy to follow steps, and 91 words. Since the solution to 73GP from 8 chapter was answered, more than 252 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6th. The full step-by-step solution to problem: 73GP from chapter: 8 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. This full solution covers the following key subjects: rear, teeth, front, sprocket, sprockets. This expansive textbook survival guide covers 35 chapters, and 3914 solutions.

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