BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A 60.00-cm guitar string under a tension of 50,000 N has a mass per unit length of 0.100 00 g/cm. What is the highest resonant frequency that can he heard by a person capable of hearing frequencies up to 20 000 Hz?

To determine
The highest resonant frequency can be heard by a person.

Explanation

Given Info: The length of the strength is 60.0 cm, tension under the string is 50.0 N, and mass per unit length is 0.10 g/cm

Formula to calculate the speed of transverse wave in the string is,

v=Tμ

  • v is the speed of the waves in the string
  • T is the tension in the string and
  • μ is the mass per unit length.

Substitute 50.0N for T and 0.10g/cm for μ .

v=(50.0N)(0.10g/cm)(1kg1000g)(100cm1m)=70.7m/s

Calculate the fundamental wavelength.

λ=2L

  • L is the length of the string.

Substitute 60.0cm for L.

λ=2(60.0cm)(0.01m1cm)=1.20m

Thus, the fundamental wavelength of the waves is 1.20 m.

Formula to calculate the fundamental frequency is,

f=vλ

  • f is the fundamental frequency of the wave

Substitute 70.7 m/s for v and 1.20m for λ .

f=70.7m/s1

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Moderate alcohol use has been credited with providing possible health benefits. Construct an argument for why m...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

How does the presence of degenerate matter in a star trigger the helium flash?

Horizons: Exploring the Universe (MindTap Course List)