- #1
dekoi
There's a metal cylinder from which water is flowing out at a rate of 10^-6 m^3/s. A tuning fork of 300 Hz is placed on top of the cylinder. At what water levels will the first two resonance frequencies be heard?
It doesn't seem like a difficult problem, and it really isn't. I just can't seem to see it.
I don't think the flow rate has any signifiance in calculation; it's only useful to know that the water level is decreasing.
It's an open-closed system, so the natural frequencies are f_n = \frac{nv}{4L} where n = 1, 3, 5, 7...
So in the first case, i think the first frequency heard would be 300 Hz. Hence, one can solve for L_1 to attain 0.286m. But how about for the next? Will it just be 3 times L_1 ? Or how do you solve for it otherwise?Thanks
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Question 2: Is it logical to ask whether the beat frequency is e.g. +4 or -4? Afterall, f_{beat} = |f_2 - f_1| so because of the absolute value,it is always +4.
It doesn't seem like a difficult problem, and it really isn't. I just can't seem to see it.
I don't think the flow rate has any signifiance in calculation; it's only useful to know that the water level is decreasing.
It's an open-closed system, so the natural frequencies are f_n = \frac{nv}{4L} where n = 1, 3, 5, 7...
So in the first case, i think the first frequency heard would be 300 Hz. Hence, one can solve for L_1 to attain 0.286m. But how about for the next? Will it just be 3 times L_1 ? Or how do you solve for it otherwise?Thanks
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Question 2: Is it logical to ask whether the beat frequency is e.g. +4 or -4? Afterall, f_{beat} = |f_2 - f_1| so because of the absolute value,it is always +4.
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