- #1
vodkasoup
- 31
- 0
Hi all, apologies if this has been answered elsewhere - I was unable to find an answer using the search function.
"Expressed in terms of wavenumber and angular frequency, the equation for a traveling harmonic wave is: y = Asin(kx-ωt). Express this function in terms of (a) wavelength and wave speed; (b) frequency and wave speed; (c) wave number and wave speed; (d) wavelength and frequency."
y = Asin(2∏/λx - 2∏ft)
v=fλ
I know that the expression for wavelength is 2∏/λ , and suspect the expression for wave speed is fλ, or (2∏ x 1/τ), although I am not sure on this point. I am not entirely sure what the question is asking; I know how to calculate each of the values given above from the harmonic wave equation, but do not know how to 'express' the equation in these terms.
Many thanks for your help.
Edit: Formatting.
Homework Statement
"Expressed in terms of wavenumber and angular frequency, the equation for a traveling harmonic wave is: y = Asin(kx-ωt). Express this function in terms of (a) wavelength and wave speed; (b) frequency and wave speed; (c) wave number and wave speed; (d) wavelength and frequency."
Homework Equations
y = Asin(2∏/λx - 2∏ft)
v=fλ
The Attempt at a Solution
I know that the expression for wavelength is 2∏/λ , and suspect the expression for wave speed is fλ, or (2∏ x 1/τ), although I am not sure on this point. I am not entirely sure what the question is asking; I know how to calculate each of the values given above from the harmonic wave equation, but do not know how to 'express' the equation in these terms.
Many thanks for your help.
Edit: Formatting.