Concept explainers
(a)
The radius of the flywheel.
(a)
Answer to Problem 110P
The radius of the flywheel is
Explanation of Solution
Write the expression for the rotational inertia of a uniform disk.
Here,
Rewrite the above equation for
Conclusion:
Given that the rotational inertia of the flywheel is
Substitute
Therefore, the radius of the flywheel is
(b)
The radius of the flywheel if it is a hollow cylinder with the mass concentrated at the rim.
(b)
Answer to Problem 110P
The radius of the flywheel if it is a hollow cylinder with the mass concentrated at the rim is
Explanation of Solution
Write the expression for the rotational inertia of a hollow cylinder.
Rewrite the above equation for
Conclusion:
Substitute
Therefore, the radius of the flywheel if it is a hollow cylinder with the mass concentrated at the rim is
(c)
The average power supplied by the flywheel during
(c)
Answer to Problem 110P
The average power supplied by the flywheel during
Explanation of Solution
Write the expression for the rate at which the energy of the flywheel is made to change.
Here,
Write the work energy theorem.
Here,
Put the above equation in equation (III).
Write the expression for
Here,
Put the above equation in equation (IV).
The average power supplied by the flywheel is
Conclusion:
Given that the initial angular speed of the flywheel is
Substitute
Therefore, the average power supplied by the flywheel during
Want to see more full solutions like this?
Chapter 8 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