(a)
The net torque acting on the merry-go-round about its axle.
(a)
Answer to Problem 1SP
The net torque acting on the merry-go-round about its axle is
Explanation of Solution
Given info: The radius of the merry-go-round is
Write the expression to find the torque acting due to the force.
Here,
Substitute
Write the expression to find the net torque acting on the axle of the merry-go-round.
Here,
Substitute
Conclusion:
Therefore, the net torque acting on the merry-go-round about its axle is
(b)
The rotational acceleration of the merry-go-round.
(b)
Answer to Problem 1SP
The rotational acceleration of the merry-go-round is
Explanation of Solution
Write the expression to find the rotational acceleration of the merry-go-round.
Here,
Substitute
Conclusion:
Therefore, the rotational acceleration of the merry-go-round is
(c)
The rotational velocity of the merry-go-round after
(c)
Answer to Problem 1SP
The rotational velocity of the merry-go-round after
Explanation of Solution
Write the expression to find the rotational velocity of the merry-go-round.
Here,
Substitute
Conclusion:
Therefore, the rotational velocity of the merry-go-round after
(d)
The rotational acceleration of the merry-go-round after the child stops pushing after
(d)
Answer to Problem 1SP
The rotational acceleration of the merry-go-round after the child stops pushing after
Explanation of Solution
Write the expression for rotational acceleration of the merry-go-round after the child stops pushing.
Substitute
Write the expression to find the time taken for the merry-go-round to stop turning.
Substitute
Conclusion:
Therefore, the rotational acceleration of the merry-go-round after the child stops pushing after
Want to see more full solutions like this?
Chapter 8 Solutions
The Physics of Everyday Phenomena
- 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