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

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli ISBN: 9780130606204 3

Solution for problem 73GP Chapter 8

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 73GP

(a) For a bicycle, how is the angular speed of the rear wheel \(\left(\omega_{R}\right)\) related to that of the pedals and front sprocket \(\left(\omega_{F}\right)\), Fig.  That is, derive a formula for \(\omega_{R} / \omega_{F}\). Let \(N_{F} \text { and } N_{R}\) be the number of teeth on the front and rear sprockets, respectively. The teeth are spaced equally on all sprockets so that the chain meshes properly.

(b) Evaluate the ratio \(\omega_{R} / \omega_{F}\) when the front and rear sprockets have 52 and 13 teeth, respectively, and

 when they have 42 and 28 teeth.

FIGURE 8-52 Problem 73.

Equation Transcription:

   

     

   

Text Transcription:

(\omega_R)

(\omega_F)

\omega_R / \omega_F

NF and NR

\omega_R / \omega_F

Step-by-Step Solution:

Step 1 of 4

(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

Chapter 8, Problem 73GP is Solved
Step 3 of 4

Textbook: Physics: Principles with Applications
Edition: 6
Author: Douglas C. Giancoli
ISBN: 9780130606204

The answer to “?(a) For a bicycle, how is the angular speed of the rear wheel \(\left(\omega_{R}\right)\) related to that of the pedals and front sprocket \(\left(\omega_{F}\right)\), Fig. That is, derive a formula for \(\omega_{R} / \omega_{F}\). Let \(N_{F} \text { and } N_{R}\) be the number of teeth on the front and rear sprockets, respectively. The teeth are spaced equally on all sprockets so that the chain meshes properly. (b) Evaluate the ratio \(\omega_{R} / \omega_{F}\) when the front and rear sprockets have 52 and 13 teeth, respectively, and when they have 42 and 28 teeth. FIGURE 8-52 73.Equation Transcription: Text Transcription:(\omega_R) (\omega_F) \omega_R / \omega_F NF and NR\omega_R / \omega_F” is broken down into a number of easy to follow steps, and 109 words. Since the solution to 73GP from 8 chapter was answered, more than 428 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. 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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