Mechanical Oscillator: finding frequency and wavelength of transverse wave

[Sepamo]

A mechanical oscillator connected to the end of a stretched string creates a transverse displacement of the end that is given by ξ = 0.009 sin(22.8 t), where ξ is in meters, t is in seconds (and the argument of the sin function is in radians). The tension in the string is 11.08, and the string has a linear mass density of 11 grams/m. Find the frequency ν of the transverse waves, in units of Hz. Also Find the wavelength of the transverse waves, in units of m.


I found the propagation velocity (Cw). I believe I need to use the equation \lambda=\frac{Cw}{\upsilon}. I am not sure what other equation(s) to use.

 

[PeterO]

A mechanical oscillator connected to the end of a stretched string creates a transverse displacement of the end that is given by ξ = 0.009 sin(22.8 t), where ξ is in meters, t is in seconds (and the argument of the sin function is in radians). The tension in the string is 11.08, and the string has a linear mass density of 11 grams/m. Find the frequency ν of the transverse waves, in units of Hz. Also Find the wavelength of the transverse waves, in units of m.


I found the propagation velocity (Cw). I believe I need to use the equation \lambda=\frac{Cw}{\upsilon}. I am not sure what other equation(s) to use.

The frequency of a wave is the frequency of the thing causing the wave - the oscillator connected. That ξ expression should enable you to work that out.