To solve the problem it is necessary to apply the theory of sine waves. The wavelength λ of a sinusoidal waveform traveling at constant speed v is given by
Where,
v= velocity
f = frequency
Re-arrange to find v, we have
PART A ) Replacing with our values we have,
PART B) In the case of the period we know that it is defined as a function of frequency as,
That is to say that using the previously given values we have that the period in seconds is,
PART C) Finally the transverse wave velocity is given by,
Where,
T= Period
Linear mass density
Re-arrange to find