Concept explainers
(a)
The speed of the car at
(a)
Answer to Problem 49P
The speed of the car is
Explanation of Solution
Since the car moves with constant tangential acceleration with the circumference
Write the equation for the distance traveled by the car.
Here,
Replace
Here, the radius of the circular path of the car traveled is
Write the equation of motion for the speed of the car.
Here,
Conclusion:
Substitute equation (II) in equation (III) and
Substitute
Therefore, the speed of the car is
(b)
The radial acceleration of the car at
(b)
Answer to Problem 49P
The radial acceleration of the car is
Explanation of Solution
Write the equation for radial acceleration of the car.
Here,
Conclusion:
Substitute
Substitute
Therefore, the radial acceleration of the car is
(c)
The total acceleration of the car.
(c)
Answer to Problem 49P
The total acceleration of the car is
Explanation of Solution
The figure 1 shows the total acceleration exerted on the car.
Write the equation for total acceleration of the car.
Here,
Write the equation for the direction of the car travelled.
Conclusion:
Substitute
Substitute
Therefore, the total acceleration of the car is
Let us calculate the direction of the car travelled at the point of circumference
Consider
Since the acceleration for
Rewrite the equation (VII) for
Substitute
Therefore, the total acceleration of the car is
Want to see more full solutions like this?
Chapter 5 Solutions
Physics
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON