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 Pedal crank 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? 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 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 Pedal crank 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? 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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 40P: Reciprocating motion uses the rotation of a motor to produce linear motion up and down or back and...

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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 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
\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?
O diameter of front sprocket
diameter of wheels
O angular rate
O length of pedal cranks
O diameter of rear sprocket
O none of these

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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
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