# What multiplicative factor does speed and wavelength change by?

1. Sep 10, 2011

### Emmanuel0

Consider a wave on a string with constant tension. If the frequency of the wave is doubled, by what multiplicative factor does a) the speed and b) the wavelength change?

I dont really know how to begin to answer this question. The best i could think of is using
v=wavelenght x f and then putting a square route on the f (frequency) and solving for wavelenght and i guess v (speed of the wave) from there.

If anyone know where i can find more problems like this (aside from my text book) let me know as i am really struggling with this and i want to get a better understanding of it.

2. Sep 10, 2011

### vela

Staff Emeritus
What other equations do you have that apply to a wave on a string?

3. Sep 10, 2011

### Emmanuel0

v= square root(F/U)

4. Sep 10, 2011

### vela

Staff Emeritus
Good, so that's where F is the tension in the string and $\mu$ is its mass per unit length. How do the wavelength and frequency affect those quantities, if at all?

5. Sep 10, 2011

### Emmanuel0

I am not sure, increasing tension shortens wavelength.

6. Sep 10, 2011

### vela

Staff Emeritus
You might find it useful to play around with this simulation.