Problem 4: A bicyclist notes that the pedal sprocket has a radius of r, = 10.5 cm while thewheel sprocket has a radius ofrw = 6.5 cm. The two sprockets are connected by a chain whichrotates without slipping. The bicycle wheel has a radius R = 66 cm. When pedaling the cyclist notesthat the pedal rotates at one revolution every t = 1.1 s. When pedaling, the wheel sprocket and thewheel move at the same angular speed.RRandomized Variablesrp = 10.5 cmrw = 6.5 cmR = 66 cmt = 1.1 s Part (d) Calculate the angular speed of the wheel sprocket ww, in radianspersecond.Ww

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Answered: Part (d) Calculate the angular speed of…

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Part (d) Calculate the angular speed of the wheel sprocket ww, in radians per second.

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

Problem 4: A bicyclist notes that the pedal sprocket has a radius of r, = 10.5 cm while the
wheel sprocket has a radius ofrw = 6.5 cm. The two sprockets are connected by a chain which
rotates without slipping. The bicycle wheel has a radius R = 66 cm. When pedaling the cyclist notes
that the pedal rotates at one revolution every t = 1.1 s. When pedaling, the wheel sprocket and the
wheel move at the same angular speed.
R
Randomized Variables
rp = 10.5 cm
rw = 6.5 cm
R = 66 cm
t = 1.1 s

Part (d) Calculate the angular speed of the wheel sprocket ww, in radians
per
second.
Ww

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