Solved: The wave function of a standing wave is y(x, t) =

Chapter 15, Problem 44E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 44E

The wave function of a standing wave is y(x, t) = 4.44 mm sin[(32.5 rad/m)x] sin [(754 rad/s)t]. For the two traveling waves that make up this standing wave, find the (a) amplitude; (b) wavelength; (c) frequency; (d) wave speed; (e) wave functions. (f) From the information given, can you determine which harmonic this is? Explain.

Questions & Answers

QUESTION:

Problem 44E

The wave function of a standing wave is y(x, t) = 4.44 mm sin[(32.5 rad/m)x] sin [(754 rad/s)t]. For the two traveling waves that make up this standing wave, find the (a) amplitude; (b) wavelength; (c) frequency; (d) wave speed; (e) wave functions. (f) From the information given, can you determine which harmonic this is? Explain.

ANSWER:

Solution 44E

Step 1:

The standard equation for the standing wave,

Where, A - Amplitude of the wave

            k - Wave vector

            x -displacement for the wave

           - Angular velocity of the wave

            t - Time

The wave vector, k = 2𝜋 / 𝜆

Where, 𝜆 - Wavelength of the wave

The angular velocity of the wave, = 2𝜋f

Where, f - frequency of the wave

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back