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 77.5 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter. Rear sprocket Pedal crank Front sprocket Chain (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

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 77.5 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter. Rear sprocket Pedal crank Front sprocket Chain (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

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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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

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 77.5 rev/min. The chain engages with a front
sprocket 15.2 cm in diameter and a rear sprocket 6.00 cm in diameter.
Rear
sprocket
\Pedal crank
Front sprocket
Chain
(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?
diameter of front sprocket
diameter of wheels
angular rate
length of pedal cranks
diameter of rear sprocket
none of these

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