While working on her bike, Amanita turns it upside down and gives the front wheel a counterclockwise spin. It spins at approximately constant speed for a few seconds. During this portion of the motion, she records the x and y positions and velocities, as well as the angular position and angular velocity, for the point on the rim designated by the yellow- orange dot in the figure. (Figure 1) Let the origin of the of the wheel, the positive coordinate system be at the center of the x direction to the right, the positive y position up, and the positive angular position counterclockwise. The graphs(Figure 2) begin when the point is at the indicated position. One graph may be the correct answer to more than one part. Figure A C E||| G A ------------ +1 1 B D F H < 2 of 2 Afor Part C Which of the graphs corresponds to y velocity versus time? ► View Available Hint(s) O Graph A Graph B O O Graph C O Graph D O Graph E O Graph F O Graph G O Graph H Submit Part D Which of the following graphs corresponds to angular velocity versus time? ► View Available Hint(s) O Graph A O Graph B O Graph C O Graph D

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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Help with this would be great, thank you! The first image shows parts A and B of the question as well as "figure 1" and the second image shows parts C and D as well as "figure 2." You will have to look at image 2 in order to answer the questions in image 1. Thank you again!

### Educational Exercise: Analyzing Motion Graphs

**Contextual Scenario:**

While working on her bike, Amanita turns it upside down and gives the front wheel a counterclockwise spin. It spins at approximately constant speed for a few seconds. During this portion of the motion, she records the x and y positions and velocities, as well as the angular position and angular velocity, for the point on the rim designated by the yellow-orange dot in the figure. *(Figure 1)* Let the origin of the coordinate system be at the center of the wheel, the positive x direction to the right, the positive y position up, and the positive angular position counterclockwise. The graphs *(Figure 2)* begin when the point is at the indicated position. One graph may be the correct answer to more than one part.

---

**Figure Descriptions and Explanation:**

The figure contains a series of graphs labeled from A to H, each plotting a variable against time (t). Each graph is crucial in identifying the correct relationship between position, velocity, and time.

- **Graph A:** A linear increase over time.
- **Graph B:** A flat line indicating zero change.
- **Graph C:** Another flat line, possibly indicating constant or zero value.
- **Graph D:** A flat line similar to Graphs B and C.
- **Graph E:** Sine wave pattern over time.
- **Graph F:** Similar to Graph E, but with different oscillation amplitude or phase.
- **Graph G:** Another sine wave, possibly with different frequency or amplitude.
- **Graph H:** Another sine wave with a different oscillation characteristic.

---

**Part C:**

*Which of the graphs corresponds to y velocity versus time?*

- Options: Graph A, Graph B, Graph C, Graph D, Graph E, Graph F, Graph G, Graph H.

**Part D:**

*Which of the following graphs corresponds to angular velocity versus time?*

- Options: Graph A, Graph B, Graph C, Graph D, Graph E, Graph F, Graph G, Graph H.

---

Students are invited to explore the relationship between these graphs and the physical phenomena they represent, considering the description of motion provided.
Transcribed Image Text:### Educational Exercise: Analyzing Motion Graphs **Contextual Scenario:** While working on her bike, Amanita turns it upside down and gives the front wheel a counterclockwise spin. It spins at approximately constant speed for a few seconds. During this portion of the motion, she records the x and y positions and velocities, as well as the angular position and angular velocity, for the point on the rim designated by the yellow-orange dot in the figure. *(Figure 1)* Let the origin of the coordinate system be at the center of the wheel, the positive x direction to the right, the positive y position up, and the positive angular position counterclockwise. The graphs *(Figure 2)* begin when the point is at the indicated position. One graph may be the correct answer to more than one part. --- **Figure Descriptions and Explanation:** The figure contains a series of graphs labeled from A to H, each plotting a variable against time (t). Each graph is crucial in identifying the correct relationship between position, velocity, and time. - **Graph A:** A linear increase over time. - **Graph B:** A flat line indicating zero change. - **Graph C:** Another flat line, possibly indicating constant or zero value. - **Graph D:** A flat line similar to Graphs B and C. - **Graph E:** Sine wave pattern over time. - **Graph F:** Similar to Graph E, but with different oscillation amplitude or phase. - **Graph G:** Another sine wave, possibly with different frequency or amplitude. - **Graph H:** Another sine wave with a different oscillation characteristic. --- **Part C:** *Which of the graphs corresponds to y velocity versus time?* - Options: Graph A, Graph B, Graph C, Graph D, Graph E, Graph F, Graph G, Graph H. **Part D:** *Which of the following graphs corresponds to angular velocity versus time?* - Options: Graph A, Graph B, Graph C, Graph D, Graph E, Graph F, Graph G, Graph H. --- Students are invited to explore the relationship between these graphs and the physical phenomena they represent, considering the description of motion provided.
**Text Transcription:**

---

While working on her bike, Amanita turns it upside down and gives the front wheel a counterclockwise spin. It spins at approximately constant speed for a few seconds. During this portion of the motion, she records the \(x\) and \(y\) positions and velocities, as well as the angular position and angular velocity, for the point on the rim designated by the yellow-orange dot in the figure. (Figure 1) Let the origin of the coordinate system be at the center of the wheel, the positive \(x\) direction to the right, the positive \(y\) position up, and the positive angular position counterclockwise. The graphs (Figure 2) begin when the point is at the indicated position. One graph may be the correct answer to more than one part.

**Figure:**

- **Figure Description:** Illustration of a bicycle wheel with a yellow-orange dot on the rim, which is used to track the wheel's motion.

---

**Part A:**

Which of the graphs corresponds to \(x\) position versus time?

- View Available Hint(s)

Options:
- Graph A
- Graph B
- Graph C
- Graph D
- Graph E
- Graph F
- Graph G
- Graph H

Submit Button

---

**Part B:**

Which of the graphs corresponds to angular position versus time?

- View Available Hint(s)

Options:
- Graph A
- Graph B
- Graph C
- Graph D
- Graph E
- Graph F
- Graph G
- Graph H

Submit Button

---

**Graph Explanation:**

The task involves correlating experimental data with graphs. The wheel's rotational and positional data provide insights into dynamic motion, reflecting the properties of circular motion regarding \(x\), \(y\), and angular positions.
Transcribed Image Text:**Text Transcription:** --- While working on her bike, Amanita turns it upside down and gives the front wheel a counterclockwise spin. It spins at approximately constant speed for a few seconds. During this portion of the motion, she records the \(x\) and \(y\) positions and velocities, as well as the angular position and angular velocity, for the point on the rim designated by the yellow-orange dot in the figure. (Figure 1) Let the origin of the coordinate system be at the center of the wheel, the positive \(x\) direction to the right, the positive \(y\) position up, and the positive angular position counterclockwise. The graphs (Figure 2) begin when the point is at the indicated position. One graph may be the correct answer to more than one part. **Figure:** - **Figure Description:** Illustration of a bicycle wheel with a yellow-orange dot on the rim, which is used to track the wheel's motion. --- **Part A:** Which of the graphs corresponds to \(x\) position versus time? - View Available Hint(s) Options: - Graph A - Graph B - Graph C - Graph D - Graph E - Graph F - Graph G - Graph H Submit Button --- **Part B:** Which of the graphs corresponds to angular position versus time? - View Available Hint(s) Options: - Graph A - Graph B - Graph C - Graph D - Graph E - Graph F - Graph G - Graph H Submit Button --- **Graph Explanation:** The task involves correlating experimental data with graphs. The wheel's rotational and positional data provide insights into dynamic motion, reflecting the properties of circular motion regarding \(x\), \(y\), and angular positions.
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