1. 2. The figure shows multiple solid disks with uniform mass distribution that are spinning about its center. The mass of the disks are the same, but they have different radii, as shown. Rank the disks by the amount of energy needed to spin the disk so that the outer edge of the disk has linear velocity v, from greatest to least. Explain your reasoning. A B C Two students are discussing their previous answer. Student 1: I ranked the largest disk as the greatest amount of energy needed because it has the greatest moment of inertia. Student 2: But, I think we need to also include the angular velocity. Since w = v/r, the angular velocity is smaller for the larger disk and I think all three require the same amount of energy. Do you agree or disagree with either or both of these students? Briefly explain your reasoning.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 77P: The axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit....
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1.
2.
The figure shows multiple solid disks with uniform mass
distribution that are spinning about its center. The mass of
the disks are the same, but they have different radii, as shown.
Rank the disks by the amount of energy needed to spin the
disk so that the outer edge of the disk has linear velocity v,
from greatest to least. Explain your reasoning.
A
B
C
Two students are discussing their previous answer.
Student 1: I ranked the largest disk as the greatest amount of energy needed because it has the greatest
moment of inertia.
Student 2: But, I think we need to also include the angular velocity. Since w=v/r, the angular velocity
is smaller for the larger disk and I think all three require the same amount of energy.
Do you agree or disagree with either or both of these students? Briefly explain your reasoning.
Transcribed Image Text:1. 2. The figure shows multiple solid disks with uniform mass distribution that are spinning about its center. The mass of the disks are the same, but they have different radii, as shown. Rank the disks by the amount of energy needed to spin the disk so that the outer edge of the disk has linear velocity v, from greatest to least. Explain your reasoning. A B C Two students are discussing their previous answer. Student 1: I ranked the largest disk as the greatest amount of energy needed because it has the greatest moment of inertia. Student 2: But, I think we need to also include the angular velocity. Since w=v/r, the angular velocity is smaller for the larger disk and I think all three require the same amount of energy. Do you agree or disagree with either or both of these students? Briefly explain your reasoning.
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