What are the equations for wavelength and frequency in wave generation?

[DCr.0795]

Homework Statement

I have a revision booklet page for homework, however my mind has went totally blank as to how to work out these equations.

One question is "Jean is generating a wave by moving one end of the rope up and down 2 times every second (as shown in the diagram). Jean is 3m away from the wall.

a) What is the frequency of the wave generated?
b) What is the wavelength of the wave generated?

Homework Equations

The equations are the problems that I am stuck on, I do not know the equations any more and would be very grateful if somebody could jog my memory. :)

The Attempt at a Solution

I do remember an equation involving lambda, and I know that the equation is reversible, but I have browsed the internet and there is nothing there which really helps me with my problem. I do not know in which order the equation goes.

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I know this is very simple stuff but we have just started this unit in school and information on the internet is not great for this unit.

 

[jbsteele]

The equation you are looking for is:\lambda = v / fwhere $\lambda$ is the wavelength, $v$ is the velocity of the wave, and $f$ is the frequency.For this problem, $v$ is the speed of the wave, which is equal to the speed of the rope Jean is moving up and down. So, if Jean is moving the rope 2 times per second, then the frequency is 2 Hz. Thus, we can calculate the wavelength as:\lambda = v / f = (3m/s) / (2Hz) = 1.5m So, the frequency of the wave is 2 Hz, and the wavelength is 1.5 m.