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
hw 27 question 1 part a
![### Part A
**Problem Statement:**
What is the tangential acceleration of a point on the outer rim of the disk at the moment when its angular speed is 2.00 revolutions per second?
**Answer Input Box:**
- \( a_t = \) [Enter your answer here] \(\text{ m/s}^2\)
**Submission Options:**
- **Submit** button to enter your answer.
- **Request Answer** link for additional help or hints.
### Explanation
This question involves calculating the tangential acceleration, which is linked to the change in angular velocity over time. Remember to convert the angular speed from revolutions per second to radians per second before performing any calculations, as standard units for angular velocity involve radians. The tangential acceleration can then be found using the formula:
\[ a_t = r \cdot \alpha \]
where \( r \) is the radius of the disk and \( \alpha \) is the angular acceleration. Note that additional information may be needed to solve the problem completely, such as the radius of the disk or the rate of change of the angular velocity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67fbd5d8-0948-4b18-8071-fc784645c75f%2F475eed89-4d6b-4d23-aaf4-5119c3665c8d%2Fv4f9br9_processed.png&w=3840&q=75)
Transcribed Image Text:### Part A
**Problem Statement:**
What is the tangential acceleration of a point on the outer rim of the disk at the moment when its angular speed is 2.00 revolutions per second?
**Answer Input Box:**
- \( a_t = \) [Enter your answer here] \(\text{ m/s}^2\)
**Submission Options:**
- **Submit** button to enter your answer.
- **Request Answer** link for additional help or hints.
### Explanation
This question involves calculating the tangential acceleration, which is linked to the change in angular velocity over time. Remember to convert the angular speed from revolutions per second to radians per second before performing any calculations, as standard units for angular velocity involve radians. The tangential acceleration can then be found using the formula:
\[ a_t = r \cdot \alpha \]
where \( r \) is the radius of the disk and \( \alpha \) is the angular acceleration. Note that additional information may be needed to solve the problem completely, such as the radius of the disk or the rate of change of the angular velocity.

Transcribed Image Text:A compact disk, which has a diameter of 12.0 cm, speeds up uniformly from zero to 4.50 rev/s in 3.20 s.
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