Imagine two circular plates; one is solid and the other has a hole cut out of the center. Both plates have the same radius, same thickness, and same mass. The same force F is applied tangential to the edge of each plate in such a way that the plates rotate about an axis passing through the center and perpendicular to the surface of the plates. Which one of the following statements is true regarding the angular acceleration? O The plate with the hole will have the greater angular acceleration. O The solid plate will have the greater angular acceleration. O Both plates will rotate with the same angular acceleration. Which of the following statements helps to explain the question asked above? (Select all that apply.) Angular acceleration is inversely proportional to the moment of inertia. O Angular acceleration is directly proportional to the moment of inertia. The plate with the hole has its mass distributed further out from the axis of rotation, which will increase its moment of inertia. Because both plates have the same mass, they will have the same moment of inertia. Both plates will be subjected to the same torque.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 6OQ: Consider an object on a rotating disk a distance r from its center, held in place on the disk by...
icon
Related questions
Question
Imagine two circular plates; one is solid and the other has a hole cut out of the center. Both plates have the same radius, same thickness, and same mass. The same force F is applied tangential to the edge of each plate in such a way that
the plates rotate about an axis passing through the center and perpendicular to the surface of the plates.
Which one of the following statements is true regarding the angular acceleration?
O The plate with the hole will have the greater angular acceleration.
O The solid plate will have the greater angular acceleration.
O Both plates will rotate with the same angular acceleration.
Which of the following statements helps to explain the question asked above? (Select all that apply.)
O Angular acceleration is inversely proportional to the moment of inertia.
O Angular acceleration is directly proportional to the moment of inertia.
O The plate with the hole has its mass distributed further out from the axis of rotation, which will increase its moment of inertia.
O Because both plates have the same mass, they will have the same moment of inertia.
Both plates will be subjected to the same torque.
Transcribed Image Text:Imagine two circular plates; one is solid and the other has a hole cut out of the center. Both plates have the same radius, same thickness, and same mass. The same force F is applied tangential to the edge of each plate in such a way that the plates rotate about an axis passing through the center and perpendicular to the surface of the plates. Which one of the following statements is true regarding the angular acceleration? O The plate with the hole will have the greater angular acceleration. O The solid plate will have the greater angular acceleration. O Both plates will rotate with the same angular acceleration. Which of the following statements helps to explain the question asked above? (Select all that apply.) O Angular acceleration is inversely proportional to the moment of inertia. O Angular acceleration is directly proportional to the moment of inertia. O The plate with the hole has its mass distributed further out from the axis of rotation, which will increase its moment of inertia. O Because both plates have the same mass, they will have the same moment of inertia. Both plates will be subjected to the same torque.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Torque
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning