If a skater who is spinning pulls her arms in so as to reduce her rotational inertia to half, by how much will her rate of spin increase?
The way in which the rate of spin of the skater will increase if her rotational inertia is reduced to half.
Answer to Problem 15A
It will be doubled.
Explanation of Solution
Introduction:
When no external torque acts on a system, then the angular momentum of the system remains conserved.
The angular momentum is given by,
Where,
Since no external torque is exerted on the skater, hence his or her angular momentum remains conserved.
Now, if the rotational inertia of the skater is reduced to half while spinning, then considering the above-mentioned formula, the rate of spin will become twice.
Conclusion:
Hence, for the given case, the rate of spin will be doubled.
Chapter 12 Solutions
Conceptual Physics: The High School Physics Program
Additional Science Textbook Solutions
University Physics with Modern Physics (14th Edition)
An Introduction to Thermal Physics
Essential University Physics: Volume 2 (3rd Edition)
Essential University Physics: Volume 1 (3rd Edition)
College Physics: A Strategic Approach (4th Edition)
Physics for Scientists and Engineers with Modern 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