How Do You Calculate the Period of a Transverse Wave on a Flexible String?

[Tensionfreek]

Transverse Wave on Flexible String! Please help.

1. The diagram represents a snapshot of a standing transverse wave on a flexible string taken when the displacement is at a maximum. The string is 0.65 m long with tension 11.00 N. The total mass of the string is 8.11 g. Find the period of the oscillation.



2. converted mass to kg so .00811 kg Tension = 11N and L=0.65 m





3. i computed λ=2L/4 = 2(.65)/4 = .325 m

my v=f*λ which is the part i am currently stuck on because i cannot seem to figure out how to determine the fundamental frequency of a string without knowing the velocity first...

 

[Tensionfreek]

i need an answer by at least 1130PM tonight! i have been trying this problem for hours and still have nothing...

 

[Spinnor]

See,

http://en.wikipedia.org/wiki/Vibrating_string#Wave

The velocity squared, V^2 = T/rho = tension/mass density

mass density = mass / length

Also, the velocity = wavelength * frequency , so,

velocity/wavelength = frequency

Hope this helps.