College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question

A uniform disk of mass 500 kg and radius 0.25 m is mounted on frictionless bearings so it can rotate freely around a vertical axis through its center (see the following figure). A cord is wrapped around the rim of the disk and pulled with a force of 10 N. (a) How much work has the force done at the instant the disk has completed three revolutions, starting from rest? (b) Determine the torque due to the force, then calculate the work done by this torque at the instant the disk has completed three revolutions? (c) What is the angular velocity at that instant? (d) What is the power output of the force at that instant?

The image shows a circular disk that can rotate around a central vertical axis. An arrow indicates the direction of rotation, suggesting a counterclockwise motion when viewed from above. On the edge of the disk, a force of 10 Newtons (N) is applied tangentially. This setup is commonly used to illustrate concepts of torque and rotational dynamics. - **Disk**: The circular disk rotates around a central point. This represents an object with rotational inertia. - **Central Axis**: A vertical line through the center of the disk symbolizing the axis of rotation. - **Rotation Arrow**: Indicates the rotational direction, counterclockwise in this case, which might be associated with angular velocity. - **Force Arrow (10 N)**: A red arrow applied tangentially to the edge of the disk, representing a force of 10 Newtons. This force creates torque, causing the disk to rotate. This diagram is useful for understanding the relationship between force, torque, and rotational motion.
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Transcribed Image Text:The image shows a circular disk that can rotate around a central vertical axis. An arrow indicates the direction of rotation, suggesting a counterclockwise motion when viewed from above. On the edge of the disk, a force of 10 Newtons (N) is applied tangentially. This setup is commonly used to illustrate concepts of torque and rotational dynamics. - **Disk**: The circular disk rotates around a central point. This represents an object with rotational inertia. - **Central Axis**: A vertical line through the center of the disk symbolizing the axis of rotation. - **Rotation Arrow**: Indicates the rotational direction, counterclockwise in this case, which might be associated with angular velocity. - **Force Arrow (10 N)**: A red arrow applied tangentially to the edge of the disk, representing a force of 10 Newtons. This force creates torque, causing the disk to rotate. This diagram is useful for understanding the relationship between force, torque, and rotational motion.
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