Purchase Solution

# Two sound waves are emitted; show equation of the sum and beat frequency of waves

Not what you're looking for?

Two sound waves are emitted: y1, with frequency f1, and y2, with frequency f2, with other constants identical, as expressed below. Distances in meters, times in seconds, and angles in radians:
(1) y1 = .02 sin(8 Pi x - 108 Pi t) (2) y2= .02 sin (8 Pi x - 100 Pi t)

The two waves add to produce the sound perceived by a listener.

PART a. Show y, the equation of the sum, y1 + y2, of the two waves.

PART b. Find the beat frequency of the combined waves.

##### Solution Summary

The two sound waves which are emitted are determined. Sound waves perceived by a listener are determined. In a step by step solution, the answers are derived using the formulas presented.

##### Solution Preview

When two slightly different frequencies are propagated simultaneously, interference occurs between them and they combine together to produce a "beat note" whose frequency is fb = .5 (f2 - f1). Guitars are often tuned by using this phenomenon. If one string sounds a certain frequency, then another string's tension is adjusted until their beat note frequency becomes zero; then the two strings ...

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### The Moon

Test your knowledge of moon phases and movement.