Homework Help is Here – Start Your Trial Now!
Science
Physics
Which graph best represents the relationship between the mag- nitude of the centripetal acceleration and the speed of an object moving in a circle of constant radius? Speed Speed Speed Speed (1) (2) (3) Centripetal Acceleration Centripetal Acceleration Centripetal Acceleration Centripetal Acceleration

Which graph best represents the relationship between the mag- nitude of the centripetal acceleration and the speed of an object moving in a circle of constant radius? Speed Speed Speed Speed (1) (2) (3) Centripetal Acceleration Centripetal Acceleration Centripetal Acceleration Centripetal Acceleration

College Physics
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)...
See similar textbooks
icon
Related questions
Question
100%
When speed goes up what happens to velocity
### Question: Which graph best represents the relationship between the magnitude of the centripetal acceleration and the speed of an object moving in a circle of constant radius? ### Graph Descriptions: 1. **Graph 1:** A straight line starting from the origin and increasing linearly, depicting a direct proportionality between centripetal acceleration and speed. 2. **Graph 2:** A curve starting from the origin with a sharp increase, representing an exponential relationship between centripetal acceleration and speed. 3. **Graph 3:** A curve starting from a high point on the y-axis and decreasing towards the x-axis, indicating an inverse relationship between centripetal acceleration and speed. 4. **Graph 4:** A horizontal line, indicating that centripetal acceleration remains constant regardless of the speed. ### Explanation: The centripetal acceleration (\(a_c\)) of an object moving in a circle is given by the formula: \[ a_c = \frac{v^2}{r} \] where \(v\) is the speed of the object, and \(r\) is the constant radius of the circle. According to the formula, centripetal acceleration is directly proportional to the square of the speed. Therefore, the most accurate representation would be Graph 2, where centripetal acceleration increases exponentially with speed.
Transcribed Image Text:### Question: Which graph best represents the relationship between the magnitude of the centripetal acceleration and the speed of an object moving in a circle of constant radius? ### Graph Descriptions: 1. **Graph 1:** A straight line starting from the origin and increasing linearly, depicting a direct proportionality between centripetal acceleration and speed. 2. **Graph 2:** A curve starting from the origin with a sharp increase, representing an exponential relationship between centripetal acceleration and speed. 3. **Graph 3:** A curve starting from a high point on the y-axis and decreasing towards the x-axis, indicating an inverse relationship between centripetal acceleration and speed. 4. **Graph 4:** A horizontal line, indicating that centripetal acceleration remains constant regardless of the speed. ### Explanation: The centripetal acceleration (\(a_c\)) of an object moving in a circle is given by the formula: \[ a_c = \frac{v^2}{r} \] where \(v\) is the speed of the object, and \(r\) is the constant radius of the circle. According to the formula, centripetal acceleration is directly proportional to the square of the speed. Therefore, the most accurate representation would be Graph 2, where centripetal acceleration increases exponentially with speed.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Distance and Speed
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS