A 20kg child is spinning on a carousel (radius =1.5m) and accelerates to a speed of 2 m/s.  1. What is the angular velocity of the carousel? The child then jumps on 2. What is the force exerted by the child if he is hanging on the bar at the edge of the carousel? 3. Now, the child moves closer inside of the carousel and is 0.5m from the center. What is the

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Author:Raymond A. Serway, Chris Vuille
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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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Please do the parts after the child has jumped on! So #2, 3, and 4

2.) A 20kg child is spinning on a carousel (radius =1.5m) and accelerates to a speed of 2 m/s. 

1. What is the angular velocity of the carousel?

The child then jumps on

2. What is the force exerted by the child if he is hanging on the bar at the edge of the carousel?

3. Now, the child moves closer inside of the carousel and is 0.5m from the center. What is the new force of the child hanging onto the bar? What is the new force if he is 0.7m from the center?

4. After 2 minutes, the carousel slowed down at about 25%. What is the total angular displacement of the carousel during the 2 minute time (in revolutions)?

 

The image depicts a mechanical stirrer or agitator, typically used in industrial or laboratory settings. It consists of the following components:

1. **Base Plate**: A circular, flat surface that serves as the foundation of the agitator. This plate supports the entire structure and is usually positioned within a tank or container.

2. **Stirring Arms**: Multiple elongated arms extend radially from the center. These arms are curved and follow the contour of the base plate. They facilitate mixing by agitating the materials.

3. **Central Axis**: The central vertical rod or axis connects the stirring arms and allows them to rotate around this point.

4. **Handle or Motor Attachment**: At the top of the central axis, there is an attachment point that may connect to a handle manually operated or a motor for automated stirring. This component provides the necessary force to rotate the arms.

These components work together to mix, blend, or homogenize substances, which is common in chemical, food, and pharmaceutical industries. The design and number of arms can vary depending on the specific application requirements.
Transcribed Image Text:The image depicts a mechanical stirrer or agitator, typically used in industrial or laboratory settings. It consists of the following components: 1. **Base Plate**: A circular, flat surface that serves as the foundation of the agitator. This plate supports the entire structure and is usually positioned within a tank or container. 2. **Stirring Arms**: Multiple elongated arms extend radially from the center. These arms are curved and follow the contour of the base plate. They facilitate mixing by agitating the materials. 3. **Central Axis**: The central vertical rod or axis connects the stirring arms and allows them to rotate around this point. 4. **Handle or Motor Attachment**: At the top of the central axis, there is an attachment point that may connect to a handle manually operated or a motor for automated stirring. This component provides the necessary force to rotate the arms. These components work together to mix, blend, or homogenize substances, which is common in chemical, food, and pharmaceutical industries. The design and number of arms can vary depending on the specific application requirements.
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