Waves: velocity, frequency, wavelength

AI Thread Summary
To determine the velocity of a standing wave in a 135 cm bathtub with a frequency of 0.31 Hz, the relationship v = fλ is used, where v is velocity, f is frequency, and λ is wavelength. The user initially attempted to calculate the velocity by multiplying the length of the tub (converted to meters) by the frequency, but this approach was incorrect. It is noted that the bathtub length corresponds to half a wavelength, indicating that the wavelength is twice the length of the tub. Therefore, the correct wavelength is 2.7 m, leading to a velocity calculation of v = 0.31 Hz x 2.7 m. The user seeks clarification on this process to arrive at the correct answer.
bleucat
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Homework Statement



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?

Homework Equations



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

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

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