The image illustrates the drive train of a bicycle, highlighting key components involved in its movement. The bicycle has wheels measuring 67.3 cm in diameter and pedal cranks that are 17.5 cm long. The cyclist maintains a consistent pedaling cadence of 74.5 revolutions per minute (rev/min). The bicycle's chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter.### Diagram Description:- **Bicycle Components:** - **Rear Sprocket:** Located at the back wheel. - **Front Sprocket:** Connected to the pedal crank. - **Pedal Crank:** Transfers power from the cyclist's legs to the bicycle. - **Chain:** Connects the front and rear sprockets, enabling wheel rotation.### Questions:(a) Calculate the speed of a link of the chain relative to the bicycle frame. \[ \_\_\_\_ \, \text{m/s} \](b) Calculate the angular speed of the bicycle wheels. \[ \_\_\_\_ \, \text{rad/s} \](c) Calculate the speed of the bicycle relative to the road. \[ \_\_\_\_ \, \text{m/s} \]

Answered: Image /qna-images/answer/7ae26575-1825-4778-9880-f2763119004d.jpg

The figure below shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 74.5 rev/min. The chain engages wit a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter. Rear sprocket Chain Pedal crank Front sprocket (a) Calculate the speed of a link of the chain relative to the bicycle frame. m/s (b) Calculate the angular speed of the bicycle wheels. rad/s

The figure below shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 74.5 rev/min. The chain engages wit a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter. Rear sprocket Chain Pedal crank Front sprocket (a) Calculate the speed of a link of the chain relative to the bicycle frame. m/s (b) Calculate the angular speed of the bicycle wheels. rad/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The image illustrates the drive train of a bicycle, highlighting key components involved in its movement. The bicycle has wheels measuring 67.3 cm in diameter and pedal cranks that are 17.5 cm long. The cyclist maintains a consistent pedaling cadence of 74.5 revolutions per minute (rev/min). The bicycle's chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter.

### Diagram Description:
- **Bicycle Components:**
- **Rear Sprocket:** Located at the back wheel.
- **Front Sprocket:** Connected to the pedal crank.
- **Pedal Crank:** Transfers power from the cyclist's legs to the bicycle.
- **Chain:** Connects the front and rear sprockets, enabling wheel rotation.

### Questions:
(a) Calculate the speed of a link of the chain relative to the bicycle frame.
\[ \_\_\_\_ \, \text{m/s} \]

(b) Calculate the angular speed of the bicycle wheels.
\[ \_\_\_\_ \, \text{rad/s} \]

(c) Calculate the speed of the bicycle relative to the road.
\[ \_\_\_\_ \, \text{m/s} \]

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The figure below shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 74.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 8.00 cm in diameter. Rear sprocket Chain Pedal crank Front sprocket (a) Calculate the speed of a link of the chain relative to the bicycle frame. m/s (b) Calculate the angular speed of the bicycle wheels, rad/s (c) Calculate the speed of the bicycle relative to the road. m/s (d) What plece of data, if any, are not necessary for the calculations? O diameter of front sprocket O diameter of wheels O angular rate O length of pedal cranks O diameter of rear sprocket O none of these
The figure below shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 79.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter. Rear sprocket Chain Pedal crank Front sprocket Ⓡ (a) Calculate the speed of a link of the chain relative to the bicycle frame. m/s (b) Calculate the angular speed of the bicycle wheels. rad/s (c) Calculate the speed of the bicycle relative to the road. m/s (d) What piece of data, if any, are not necessary for the calculations? O diameter of front sprocket O diameter of wheels. O angular rate O length of pedal cranks O diameter of rear sprocket O none of these