A 1000-kg car is revolving uniformly in a horizontal circle of radius 10 m with a speed of 0.5 m/s, calculate its centripetal acceleration? O A. 50 m/s^2 OB. 0.025 m/s^2 O C. 0.25 m/s^2 O D. 0.5 m/s^2

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)...
icon
Related questions
Question
**Problem:**

A 1000-kg car is revolving uniformly in a horizontal circle of radius 10 m with a speed of 0.5 m/s. Calculate its centripetal acceleration.

**Options:**

- A. 50 m/s\(^2\)
- B. 0.025 m/s\(^2\)
- C. 0.25 m/s\(^2\)
- D. 0.5 m/s\(^2\)

**Explanation:**

The problem presents a situation where we need to find the centripetal acceleration of a car moving in a circular path. The formula for centripetal acceleration \(a_c\) is given by:

\[ a_c = \frac{v^2}{r} \]

where:
- \(v\) is the speed of the car (0.5 m/s),
- \(r\) is the radius of the circle (10 m).

By calculating using the formula, you can determine the correct option for the centripetal acceleration.
Transcribed Image Text:**Problem:** A 1000-kg car is revolving uniformly in a horizontal circle of radius 10 m with a speed of 0.5 m/s. Calculate its centripetal acceleration. **Options:** - A. 50 m/s\(^2\) - B. 0.025 m/s\(^2\) - C. 0.25 m/s\(^2\) - D. 0.5 m/s\(^2\) **Explanation:** The problem presents a situation where we need to find the centripetal acceleration of a car moving in a circular path. The formula for centripetal acceleration \(a_c\) is given by: \[ a_c = \frac{v^2}{r} \] where: - \(v\) is the speed of the car (0.5 m/s), - \(r\) is the radius of the circle (10 m). By calculating using the formula, you can determine the correct option for the centripetal acceleration.
Expert Solution
Step 1

When a body move in a circular path with constant speed then its direction changes continuous. Due to this velocity changes. The circular motion of the body due a force called centripetal force, acting toward the center of circle.

Hence an acceleration work on the body which direction is toward the center of circle, this acceleration is known as centripetal acceleration.

Centripetal force acting on the body is given by 

F=mv2r

hence centripetal acceleration is given by 

a = Fm=v2r

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centripetal force
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
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