Answer:
- λ = 31.89
- f = 110.29Hz
- Ф = 2.39
Explanation:
You have the following waveform expression:
[tex]y(x,t)=ym\ sin(2.39+693t+0.197x)[/tex] (1)
The general expression for a wave can be written as:
[tex]y(x,t)=y_o\ sin(kx\pm \omega t+\phi)[/tex] (2)
The sign of the term wt determines the direction of the motion of the wave.
In comparison with the equation (1) you have:
k: wavenumber = 0.197
w: angular frequency = 693
Ф: phase constant of the wave = 2.39
- The wavelength of the wave is given by the following formula:
[tex]\lambda=\frac{2\pi}{k}=\frac{2\pi}{0.197}=31.89m[/tex]
The wavelength of the wave is 31.89m
- The frequency is:
[tex]f=\frac{\omega}{2\pi}=\frac{693}{2\pi}=110.29Hz[/tex]
The frequency of the wave is 110.29Hz
- The phase constant is 2.39