Speed of transverse string waves

[babykeys23]

A piano string of length 1.5 m and mass density 25mg/m vibrates at a (fundamental) frequency of 460 Hz.
What is the speed of the transverse string waves?


v=sqrt (FL/m)

v= sqrt (37.5*1.5/25)

is this the right track?

 

[G01]

I would try using the equation:

$$v=\lambda f$$

You know f already. All you need then, is the wavelength,$$\lambda$$. You know the wave is vibrating at a fundamental frequency. Does this tell you anything about the wavelength of that wave?