A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can withstand more tension without breaking because the thicker the rope, the greater the cross- sectional area and the smaller the stress. One type of steel has density 7710 kg/m and will break if the tensile stress exceeds I Re Part A 7.0 x 10 N/m². You want to make a guitar string from a mass of 4.4 g of this type of steel. In use, the guitar string must be able to withstand Determine the maximum length the string can have. tension of 900 N without breaking. Your job is the Express your answer in meters. following. ? L = m Submit Request Answer Part B
A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can withstand more tension without breaking because the thicker the rope, the greater the cross- sectional area and the smaller the stress. One type of steel has density 7710 kg/m and will break if the tensile stress exceeds I Re Part A 7.0 x 10 N/m². You want to make a guitar string from a mass of 4.4 g of this type of steel. In use, the guitar string must be able to withstand Determine the maximum length the string can have. tension of 900 N without breaking. Your job is the Express your answer in meters. following. ? L = m Submit Request Answer Part B
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 81PQ: A horizontal, rigid bar of negligible weight is fixed against a vertical wall at one end and...
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![**Problem 15.72 - Enhanced - with Feedback**
A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can withstand more tension without breaking because the thicker the rope, the greater the cross-sectional area and the smaller the stress. One type of steel has density \( 7770 \, \text{kg/m}^3 \) and will break if the tensile stress exceeds \( 7.0 \times 10^8 \, \text{N/m}^2 \). You want to make a guitar string from a mass of \( 4.4 \, \text{g} \) of this type of steel. In use, the guitar string must be able to withstand a tension of \( 900 \, \text{N} \) without breaking. Your job is the following.
### Part A
Determine the maximum length the string can have.
Express your answer in meters.
\[ L = \, \_\_\_\_\_\_\_\_\_\_ \, \text{m} \]
**Submit** [Button]
**Request Answer** [Button]
### Part B
Determine the minimum radius the string can have.
Express your answer in meters.
\[ r = \, \_\_\_\_\_\_\_\_\_\_ \, \text{m} \]
**Submit** [Button]
**Request Answer** [Button]
### Part C
Determine the highest possible fundamental frequency of standing waves on this string, if the entire length of the string is free to vibrate.
[Explanation or additional information regarding Part C is not provided in the visible portion of the image.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22152fbe-4587-4ac6-8bfb-78bc4afe5e7b%2F3fb2d5a3-5381-4b84-8f31-7298dd27edcc%2Fp8wra8j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 15.72 - Enhanced - with Feedback**
A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can withstand more tension without breaking because the thicker the rope, the greater the cross-sectional area and the smaller the stress. One type of steel has density \( 7770 \, \text{kg/m}^3 \) and will break if the tensile stress exceeds \( 7.0 \times 10^8 \, \text{N/m}^2 \). You want to make a guitar string from a mass of \( 4.4 \, \text{g} \) of this type of steel. In use, the guitar string must be able to withstand a tension of \( 900 \, \text{N} \) without breaking. Your job is the following.
### Part A
Determine the maximum length the string can have.
Express your answer in meters.
\[ L = \, \_\_\_\_\_\_\_\_\_\_ \, \text{m} \]
**Submit** [Button]
**Request Answer** [Button]
### Part B
Determine the minimum radius the string can have.
Express your answer in meters.
\[ r = \, \_\_\_\_\_\_\_\_\_\_ \, \text{m} \]
**Submit** [Button]
**Request Answer** [Button]
### Part C
Determine the highest possible fundamental frequency of standing waves on this string, if the entire length of the string is free to vibrate.
[Explanation or additional information regarding Part C is not provided in the visible portion of the image.]
![**Homework 13**
**Problem 15.72 - Enhanced - with Feedback**
*A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can withstand more tension without breaking because the thicker the rope, the greater the cross-sectional area and the smaller the stress. One type of steel has density \( 7.71 \times 10^3 \, \text{kg/m}^3 \) and will break if the tensile stress exceeds \( 7.0 \times 10^8 \, \text{N/m}^2 \). You want to make a guitar string from a mass of \( 4.4 \, \text{g} \) of this type of steel. In use, the guitar string must be able to withstand a tension of \( 900 \, \text{N} \) without breaking. Your job is the following:*
---
**Part B**
*Determine the minimum radius the string can have. Express your answer in meters.*
\[
r = \quad \Box \quad \text{m}
\]
*[Submit] [Request Answer]*
---
**Part C**
*Determine the highest possible fundamental frequency of standing waves on this string, if the entire length of the string is free to vibrate. Express your answer in hertz.*
\[
f = \quad \Box \quad \text{Hz}
\]
*[Submit] [Request Answer]*
---
[Return to Assignment] [Provide Feedback]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22152fbe-4587-4ac6-8bfb-78bc4afe5e7b%2F3fb2d5a3-5381-4b84-8f31-7298dd27edcc%2Fod1i5zs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Homework 13**
**Problem 15.72 - Enhanced - with Feedback**
*A string or rope will break apart if it is placed under too much tensile stress. Thicker ropes can withstand more tension without breaking because the thicker the rope, the greater the cross-sectional area and the smaller the stress. One type of steel has density \( 7.71 \times 10^3 \, \text{kg/m}^3 \) and will break if the tensile stress exceeds \( 7.0 \times 10^8 \, \text{N/m}^2 \). You want to make a guitar string from a mass of \( 4.4 \, \text{g} \) of this type of steel. In use, the guitar string must be able to withstand a tension of \( 900 \, \text{N} \) without breaking. Your job is the following:*
---
**Part B**
*Determine the minimum radius the string can have. Express your answer in meters.*
\[
r = \quad \Box \quad \text{m}
\]
*[Submit] [Request Answer]*
---
**Part C**
*Determine the highest possible fundamental frequency of standing waves on this string, if the entire length of the string is free to vibrate. Express your answer in hertz.*
\[
f = \quad \Box \quad \text{Hz}
\]
*[Submit] [Request Answer]*
---
[Return to Assignment] [Provide Feedback]
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