Part 1: 1. What is providing the centripetal force in Part 1? 2. How should the slope relate to the values of the mass of the rotating object, m and the radius of the circular path, r? I
Part 1: 1. What is providing the centripetal force in Part 1? 2. How should the slope relate to the values of the mass of the rotating object, m and the radius of the circular path, r? I
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
Section: Chapter Questions
Problem 44P: The Moon and Earth rotate about their common center of mass, which is located about 4700 km from the...
Related questions
Question
![**Part 1:**
1. What is providing the centripetal force in Part 1?
2. How should the slope relate to the values of the mass of the rotating object, *m*, and the radius of the circular path, *r*?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2b834c9-97c8-4f18-8ce1-0b242c8acfdf%2Fe0fa3815-8f1a-43b0-8a6f-ef5858c0a501%2Fulumb7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Part 1:**
1. What is providing the centripetal force in Part 1?
2. How should the slope relate to the values of the mass of the rotating object, *m*, and the radius of the circular path, *r*?
![## Circular Force Lab
### Part 1: Dependence of the Centripetal Force (F<sub>c</sub>) on the Speed of Rotation (V) at a Constant Radius
**Experiment Details: Vary V**
This table represents data collected to understand how the centripetal force changes with variations in rotational speed while keeping the radius constant.
#### Table 1
| Random Speed # | Time for 5 cycles (s) | Period, T (s) | ω (rad/s) | Random Speed v (m/s) | F<sub>c</sub> (N) |
|----------------|-----------------------|---------------|-----------|----------------------|------------------|
| 1 | 9.60 | 1.92 | 3.27 | 4.91 | 23.4 |
| 2 | 7.74 | 1.55 | 4.05 | 6.08 | 38.4 |
| 3 | 5.64 | 1.13 | 5.55 | 1.55 | 19.4 |
| 4 | 6.64 | 1.33 | 4.72 | 7.08 | 53.4 |
| 5 | 7.54 | 1.51 | 4.16 | 6.24 | 42.8 |
| 6 | 10.7 | 2.14 | 2.93 | 4.40 | 20.9 |
#### Calculations and Observations
- **Centripetal Force Equation:**
F<sub>c</sub> = m(v²/r)
- **Slope of F<sub>c</sub> versus v² (with units):**
0.766 kg/m
- **Expected Slope (in algebraic form):**
m/r
- **Numerical, Expected Value of Slope:**
0.712 kg/m
- **Percentage Difference Between Expected and Measured Slope Values:**
7.59%
### Explanation
1. **Time for 5 cycles (s):** The time taken for 5 complete revolutions.
2. **Period, T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2b834c9-97c8-4f18-8ce1-0b242c8acfdf%2Fe0fa3815-8f1a-43b0-8a6f-ef5858c0a501%2Fl66zbmw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Circular Force Lab
### Part 1: Dependence of the Centripetal Force (F<sub>c</sub>) on the Speed of Rotation (V) at a Constant Radius
**Experiment Details: Vary V**
This table represents data collected to understand how the centripetal force changes with variations in rotational speed while keeping the radius constant.
#### Table 1
| Random Speed # | Time for 5 cycles (s) | Period, T (s) | ω (rad/s) | Random Speed v (m/s) | F<sub>c</sub> (N) |
|----------------|-----------------------|---------------|-----------|----------------------|------------------|
| 1 | 9.60 | 1.92 | 3.27 | 4.91 | 23.4 |
| 2 | 7.74 | 1.55 | 4.05 | 6.08 | 38.4 |
| 3 | 5.64 | 1.13 | 5.55 | 1.55 | 19.4 |
| 4 | 6.64 | 1.33 | 4.72 | 7.08 | 53.4 |
| 5 | 7.54 | 1.51 | 4.16 | 6.24 | 42.8 |
| 6 | 10.7 | 2.14 | 2.93 | 4.40 | 20.9 |
#### Calculations and Observations
- **Centripetal Force Equation:**
F<sub>c</sub> = m(v²/r)
- **Slope of F<sub>c</sub> versus v² (with units):**
0.766 kg/m
- **Expected Slope (in algebraic form):**
m/r
- **Numerical, Expected Value of Slope:**
0.712 kg/m
- **Percentage Difference Between Expected and Measured Slope Values:**
7.59%
### Explanation
1. **Time for 5 cycles (s):** The time taken for 5 complete revolutions.
2. **Period, T
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
A tension force is also acting on rotating mass which provides centripetal force.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![Physics for Scientists and Engineers: Foundations…](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
![College Physics](https://www.bartleby.com/isbn_cover_images/9781938168000/9781938168000_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
![College Physics](https://www.bartleby.com/isbn_cover_images/9781285737027/9781285737027_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Glencoe Physics: Principles and Problems, Student…](https://www.bartleby.com/isbn_cover_images/9780078807213/9780078807213_smallCoverImage.gif)
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill