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 student stands several meters in front of a smooth reflecting wall, holding a board on which a wire is fixed at each end. The wire, vibrating in its third harmonic, is 75.0 cm long, has a mass of 2.25 g, and is under a tension of 400. N. A second student, moving toward the wall, hears 8.30 beats per second. What is the speed of the students approaching the wall?

(a)

To determine
The speed of the student approaching the wall.

Explanation

Given Info: The length of the wire is 75.0 cm, mass of the wire 2.25 g, and tension in the wire is 400 N

Formula to calculate the fundamental frequency of the vibrating wire is,

f=n2LTμ (1)

  • f is the fundamental frequency.
  • n is the harmonic number.
  • T is the tension.
  • μ is the mass per unit length.

Rewrite the equation (1) in terms of mass per unit length.

f=n2LTm/L

Substitute 3 for n, 75.0 cm for L, 400 N for T, and 2.25 g for m we get f.

f=32(75.0cm)(0.01m1cm)(400N)(2.2g)(0.001kg1g)/(75.0cm)(0.01m1cm)=730.3Hz

Thus, the fundamental frequency of the wire vibrating in its third harmonic number is 730.3 Hz.

Formula to calculate the primary source of the frequency is,

fP=f(vv0v) (2)

  • fP is the primary source of the frequency to the observer.
  • f is the fundamental frequency of the wire.
  • v is the speed of the sound in air.
  • v0 is the speed of the student

(b)

To determine
The number of Moons can fit inside the Earth.

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

Which of the following increases the production of intestinal gas? chewing gum drinking carbonated beverages ea...

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

22-12 Why does glycine have no D or L form?

Introduction to General, Organic and Biochemistry

Why do different atoms have different lines in their spectra?

Horizons: Exploring the Universe (MindTap Course List)

What is hereditarianism, and what is the invalid assumption it makes?

Human Heredity: Principles and Issues (MindTap Course List)

A model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.5 g, which includes fuel ma...

Physics for Scientists and Engineers, Technology Update (No access codes included)