Waves: velocity, frequency, wavelength

bleucat

1. The problem statement, all variables and given/known data

If you slosh the water back and forth in a bathtub at the correct frequency, the water rises first at one end and then at the other. Suppose you can make a standing wave in a 135 cm long tub with a frequency of 0.31 Hz. What is the velocity of the water wave?

2. Relevant equations

I know [tex] v = f \lambda [/tex] and that [tex] f = \frac{1}{T} [/tex], with [tex]v[/tex]=velocity, [tex]f[/tex]=frequency, [tex]\lambda[/tex]=wavelength, and [tex]T[/tex]=period.

3. The attempt at a solution

Okay, so this looked easy enough, right?
I converted 135 cm to 1.35 m and multiplied 1.35 x .31. This isn't the correct answer, however, and I am rather stymied. Am I missing something easy?

Snazzy

I believe that the frequency represents the fundamental frequency, ie. the bathtub length is half a wavelength.