Sound moving through different mediums

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When sound travels through different mediums, the fundamental frequency produced by a pipe filled with helium at the same temperature is influenced by the speed of sound in each medium. The initial assumption is that the frequency remains constant when the medium changes, but this overlooks the relationship between frequency, wavelength, and the speed of sound. The correct approach involves understanding that the frequency of the sound generated by the pipe is tied to the medium's properties, specifically the mass of the gas. The discussion highlights confusion over the application of formulas and factors affecting frequency, emphasizing that the fundamental frequency is determined by the characteristics of the medium and the pipe. Ultimately, the frequency does not change due to the medium alone, but the speed of sound in helium alters the overall propagation characteristics.
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A certain pipe produces a fundamental frequency of f in air.

If the pipe is filled with helium at the same temperature, what fundamental frequency does it produce?

I assume that I just take (f/v1)(v2), with v1 being speed in air and v2 being speed in helium

this lead me to the equation:
(f*sqrt(M_air))/sqrt(M_He)

However, this is somehow off by a multiplicative factor. I can, however, find no way in which any other factor would be involved...
 
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Assuming that the mechanism in which the sound is being generated remains the same, the frequency does not change. If the speakers are vibrating the air at 5kHz, then changing the air content will not affect how they vibrate.
 
i think this may be assuming that air/he is the medium which the wave is traveling in, not the pipe itself
 
or.. f is also the fundamental frequency of the pipe, so you are using f = nv/2pi (or 4pi) i can't remember which, but that factor of the equation should be inconsequential.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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