Standing Waves Tension and wavelength

[xtrubambinoxpr]

Homework Statement

Please see the picture.

Homework Equations

How do they get this derivation?

The Attempt at a Solution

I know that lambda = 2L/n and f = nV/2L so I can somewhat rearrange it myself, but I do not know where the square root is coming from.

 

[maajdl]

Using the laws of motion (Newton, F=ma) for a string under tension leads to the wave equation for a string.

http://www.animations.physics.unsw.edu.au/jw/wave_equation_speed.htm

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

www.youtube.com/watch?v=OCq-YeByeKc

 

[xtrubambinoxpr]

Using the laws of motion (Newton, F=ma) for a string under tension leads to the wave equation for a string.

http://www.animations.physics.unsw.edu.au/jw/wave_equation_speed.htm

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

www.youtube.com/watch?v=OCq-YeByeKc

Thanks for the reply! I actually was able to do more research and figured it out :)