11. A particle is moving in a circle in the counterclockwise direction, shown below. The positions at tw time points are shown. For each time, draw the velocity vector. Then show how to construct the direction of the average acceleration vector. Then explain in words why the instantaneous accelerati vector points radially inward.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Activity 11: Understanding Circular Motion**

A particle is moving in a circle in the counterclockwise direction, as shown below. The positions at two distinct time points are marked on the circle. 

**Instructions:**
1. At each marked position, draw the velocity vector, which is tangent to the circle.
2. Demonstrate how to construct the direction of the average acceleration vector between these two points.
3. Explain why the instantaneous acceleration vector points radially inward.

**Diagram Explanation:**
- The diagram shows a circle with two marked positions on its perimeter.
- These marks indicate the positions of the particle at different times as it moves counterclockwise along the circle.
- You need to draw tangential velocity vectors at these points to represent the direction of motion.
- The average acceleration vector should be constructed by noting the change in the velocity vectors and is directed inwards, towards the circle's center.

**Concept Exploration:**
The instantaneous acceleration vector points radially inward due to the centripetal force required to change the direction of the velocity of the particle, thus maintaining circular motion. This inward force constantly alters the direction of the particle’s velocity as it travels along the circular path.
Transcribed Image Text:**Activity 11: Understanding Circular Motion** A particle is moving in a circle in the counterclockwise direction, as shown below. The positions at two distinct time points are marked on the circle. **Instructions:** 1. At each marked position, draw the velocity vector, which is tangent to the circle. 2. Demonstrate how to construct the direction of the average acceleration vector between these two points. 3. Explain why the instantaneous acceleration vector points radially inward. **Diagram Explanation:** - The diagram shows a circle with two marked positions on its perimeter. - These marks indicate the positions of the particle at different times as it moves counterclockwise along the circle. - You need to draw tangential velocity vectors at these points to represent the direction of motion. - The average acceleration vector should be constructed by noting the change in the velocity vectors and is directed inwards, towards the circle's center. **Concept Exploration:** The instantaneous acceleration vector points radially inward due to the centripetal force required to change the direction of the velocity of the particle, thus maintaining circular motion. This inward force constantly alters the direction of the particle’s velocity as it travels along the circular path.
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