Topmusicanswers
- What is the basic wave equation?
- What is the equation for waves traveling down the string?
- How do you find the frequency of a string?
- What is the solution of wave equation?
What is the basic wave equation?
To find the amplitude, wavelength, period, and frequency of a sinusoidal wave, write down the wave function in the form y(x,t)=Asin(kx−ωt+ϕ). The amplitude can be read straight from the equation and is equal to A.
What is the equation for waves traveling down the string?
A wave traveling along a string (shown above) takes the form y(x,t) = A cos (2x + 4t) with x in meters and t in seconds. Imagine following the motion of the point of constant phase, P, as the wave evolves.
How do you find the frequency of a string?
The frequency f = 1/T = v/λ. So f = v/λ. We also saw that, for the fundamental frequency f1, the string length is λ/2, so f1 = v/2L. The wave speed is determined by the string tension F and the mass per unit lenght or linear density μ = M/L, v = (F/μ)1/2 = (FL/M)1/2.
What is the solution of wave equation?
Solution of the Wave Equation. All solutions to the wave equation are superpositions of "left-traveling" and "right-traveling" waves, f ( x + v t ) f(x+vt) f(x+vt) and g ( x − v t ) g(x-vt) g(x−vt).
