Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 32.0 cm in radius. (a)What is the magnitude of the bicycle's linear acceleration (in 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? (c) How many radians have the wheels turned through in that time? (d) How far (in m) has the bicycle traveled in that time?
Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 32.0 cm in radius. (a)What is the magnitude of the bicycle's linear acceleration (in 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? (c) How many radians have the wheels turned through in that time? (d) How far (in m) has the bicycle traveled in that time?
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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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.
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Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 32.0 cm in radius.
(a)What is the magnitude of the bicycle's linear acceleration (in 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?
(c) How many radians have the wheels turned through in that time?
(d) How far (in m) has the bicycle traveled in that time?
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