ng with both ends held fixed is vibrating in its third harmonic, waves have a speed of 190 m/s and a frequency of Hz. The amplitude of the standing wave at an antinode is Part A cm. Calculate amplitude at point on the string a distance of 25.0 cm from the left-hand end of the string. Express your answer in meters. A = Submit Request Answer
ng with both ends held fixed is vibrating in its third harmonic, waves have a speed of 190 m/s and a frequency of Hz. The amplitude of the standing wave at an antinode is Part A cm. Calculate amplitude at point on the string a distance of 25.0 cm from the left-hand end of the string. Express your answer in meters. A = Submit Request Answer
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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![**Problem 15.68: String Vibration in Third Harmonic**
*A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 190 m/s and a frequency of 235 Hz. The amplitude of the standing wave at an antinode is 0.360 cm.*
**Part A**
Calculate the amplitude at a point on the string a distance of 25.0 cm from the left-hand end of the string.
*Express your answer in meters.*
\[ A = \_\_\_\_\_\_ \text{ m} \]
**Part B**
How much time does it take the string to go from its largest upward displacement to its largest downward displacement at this point?
*Express your answer in seconds.*
\[ t = \_\_\_\_\_\_ \text{ s} \]
**Part C**
Calculate the maximum transverse velocity of the string at this point.
---
This problem focuses on the behavior of a string vibrating in its third harmonic. A detailed understanding of wave speed, frequency, and amplitude is necessary to solve the related questions. Make sure to use the given formulas and concepts in wave motion to find the answers for each part.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22152fbe-4587-4ac6-8bfb-78bc4afe5e7b%2F13dada86-c818-40d7-bcb9-be88263a6b9f%2Fbz0ofb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 15.68: String Vibration in Third Harmonic**
*A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 190 m/s and a frequency of 235 Hz. The amplitude of the standing wave at an antinode is 0.360 cm.*
**Part A**
Calculate the amplitude at a point on the string a distance of 25.0 cm from the left-hand end of the string.
*Express your answer in meters.*
\[ A = \_\_\_\_\_\_ \text{ m} \]
**Part B**
How much time does it take the string to go from its largest upward displacement to its largest downward displacement at this point?
*Express your answer in seconds.*
\[ t = \_\_\_\_\_\_ \text{ s} \]
**Part C**
Calculate the maximum transverse velocity of the string at this point.
---
This problem focuses on the behavior of a string vibrating in its third harmonic. A detailed understanding of wave speed, frequency, and amplitude is necessary to solve the related questions. Make sure to use the given formulas and concepts in wave motion to find the answers for each part.
![### Physics of Vibrating Strings
A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 190 m/s and a frequency of 235 Hz. The amplitude of the standing wave at an antinode is 0.360 cm.
### Part C: Calculation of Maximum Transverse Velocity
To determine the maximum transverse velocity of the string at this point, use the appropriate formula and enter your answer in meters per second.
\[ v_{\text{max}} = \]
Enter your answer:
[Text Box] \( \text{m/s} \)
\[ \text{Submit Button} \]
### Part D: Calculation of Maximum Transverse Acceleration
To find the maximum transverse acceleration of the string at this point, use the appropriate formula and express your answer in meters per second squared.
\[ a_{\text{max}} = \]
Enter your answer:
[Text Box] \( \text{m/s}^2 \)
\[ \text{Submit Button} \]
### Additional Instructions
- Be sure to convert units where necessary.
- Provide feedback if you encounter any issues with the calculations.
*Note: The image depicted shows a computer screen displaying an educational website with instructions for solving physics problems related to vibrating strings. A section for submitting answers is also visible.*
_This information is intended to assist students in their understanding of the harmonic motion and properties of waves on a string with fixed ends._](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22152fbe-4587-4ac6-8bfb-78bc4afe5e7b%2F13dada86-c818-40d7-bcb9-be88263a6b9f%2Fr0fvlz4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Physics of Vibrating Strings
A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 190 m/s and a frequency of 235 Hz. The amplitude of the standing wave at an antinode is 0.360 cm.
### Part C: Calculation of Maximum Transverse Velocity
To determine the maximum transverse velocity of the string at this point, use the appropriate formula and enter your answer in meters per second.
\[ v_{\text{max}} = \]
Enter your answer:
[Text Box] \( \text{m/s} \)
\[ \text{Submit Button} \]
### Part D: Calculation of Maximum Transverse Acceleration
To find the maximum transverse acceleration of the string at this point, use the appropriate formula and express your answer in meters per second squared.
\[ a_{\text{max}} = \]
Enter your answer:
[Text Box] \( \text{m/s}^2 \)
\[ \text{Submit Button} \]
### Additional Instructions
- Be sure to convert units where necessary.
- Provide feedback if you encounter any issues with the calculations.
*Note: The image depicted shows a computer screen displaying an educational website with instructions for solving physics problems related to vibrating strings. A section for submitting answers is also visible.*
_This information is intended to assist students in their understanding of the harmonic motion and properties of waves on a string with fixed ends._
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