A wave is describe by `y=(2.00 cm) sin (ks-omegat)`, where `k=2.11 rad//m, omega =3.62 rad//s, x is in metres, and t is in seconds. Determine the amplitude, wavelength, frequency, and speed of the wave.

Explanation

The wave function is a moving graph. The position of a particle of the medium, respresented by `y`, is varying all the time and from every point to the next point at each instant. But we can pick out the parameters that characterize the whole wave and have constant values.
we compare the given wave function with the genral sinusoidal wave equation
`y=A sin (kx-omegat+phi)`
its functional equality to `y=(2.00 cm) sin (kx-omegat)` reveals that the amplitude is `A=2.00 cm`
the angular wave number is `k=2.11 rad//m` so that
`lambda=2pi//kk=2.98 m`
the angular frequency is `omega=3.62 rad//s` so that
`f=omega//2pi=0.576 Hz`
The speed is `v=omega=(0.576 s^(-1)(2.98 m)=1.72 m//s`
It is not important to the dynamics of the wave, but we can also identify the pase constant as `phi=0`. we could write the wave function to explicity display the constant parameters as
`y(x,t)=(2.00 cm) sin((2pi)/(2.98 m)x-2pi(0.576)/s^(-1(t)))`