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

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)...
icon
Related questions
icon
Concept explainers
Question
**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.]
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]
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]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 10 images

Blurred answer
Knowledge Booster
Stress and strain
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.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON