The image presents a physics problem involving a uniform disk that rotates around its center similar to a merry-go-round. The disk has a radius of 1.6 cm, a mass of 19 grams, and it starts from rest. At time \( t = 0 \), two forces are applied tangentially to the rim. By time \( t = 1.2 \, \text{s} \), the disk achieves an angular velocity of 240 rad/s in a counterclockwise direction. One of the forces, \( \mathbf{F}_1 \), has a magnitude of 0.103 N. The task is to determine the magnitude of the second force, \( \mathbf{F}_2 \).The accompanying diagram illustrates the disk with two arrows labeled \( \mathbf{F}_1 \) and \( \mathbf{F}_2 \) pointing tangentially in opposite directions on the rim of the disk, indicating the application of the forces. The direction of the rotation is counterclockwise as indicated by an arrow around the disk. The sketch visually supports the information given in the problem description.

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The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.6 cm and a mass of 19 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.2 s the disk has an angular velocity of 240 rad/s counterclockwise. Force F₁ has a magnitude of 0.103 N. What is magnitude F2?

The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.6 cm and a mass of 19 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.2 s the disk has an angular velocity of 240 rad/s counterclockwise. Force F₁ has a magnitude of 0.103 N. What is magnitude F2?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

The image presents a physics problem involving a uniform disk that rotates around its center similar to a merry-go-round. The disk has a radius of 1.6 cm, a mass of 19 grams, and it starts from rest. At time \( t = 0 \), two forces are applied tangentially to the rim. By time \( t = 1.2 \, \text{s} \), the disk achieves an angular velocity of 240 rad/s in a counterclockwise direction. One of the forces, \( \mathbf{F}_1 \), has a magnitude of 0.103 N. The task is to determine the magnitude of the second force, \( \mathbf{F}_2 \).

The accompanying diagram illustrates the disk with two arrows labeled \( \mathbf{F}_1 \) and \( \mathbf{F}_2 \) pointing tangentially in opposite directions on the rim of the disk, indicating the application of the forces. The direction of the rotation is counterclockwise as indicated by an arrow around the disk. The sketch visually supports the information given in the problem description.

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