Starting from rest, a rider pedals a bicycle such that the angular acceleration of the wheels is a constant 1.20 rad/s². The bicycle wheels are 37.5 cm in radius.(a) What is the magnitude of the bicycle's linear acceleration (in m/s²)?m/s²(b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 10.4 m/s?rad/s(c) How many radians have the wheels turned through in that time?rad(d) How far (in m) has the bicycle traveled in that time?Need Help?mRead It

Answered: Image /qna-images/answer/0b330373-4f46-4edf-9451-bb7013d07e29.jpg

he magnitude of the bicycle's linear acceleration (in m/s²)? m/s² he angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 10.4 m/s? rad/s y radians have the wheels turned through in that time? rad (in m) has the bicycle traveled in that time? > m Read It

he magnitude of the bicycle's linear acceleration (in m/s²)? m/s² he angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 10.4 m/s? rad/s y radians have the wheels turned through in that time? rad (in m) has the bicycle traveled in that time? > m Read It

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 3OQ

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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

Starting from rest, a rider pedals a bicycle such that the angular acceleration of the wheels is a constant 1.20 rad/s². The bicycle wheels are 37.5 cm in radius.
(a) What is the magnitude of the bicycle's linear acceleration (in m/s²)?
m/s²
(b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 10.4 m/s?
rad/s
(c) How many radians have the wheels turned through in that time?
rad
(d) How far (in m) has the bicycle traveled in that time?
Need Help?
m
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