A Cylindrical pipe is sounded at room temperature. It is observed that the pipe

Question

A Cylindrical pipe is sounded at room temperature. It is observed that the pipe can be made to oscillate rather easily at several frequencies that include 1000. 1400, and 1800 Hertz (with no other resonant frequencies between 1000 Hz and 1800 Hz). Is this pipe an open-open or open-close cylindrical pipe, or could it be either one? Show your reasoning. What is the length of the pipe consistent with the answer above? Show this by is calculation. Archimedes determined that the king's crow had a density of 11,300 kg/m3-definiely not gold. When this crown from the end of a scale in air, it shows a weight of 147N. when the same crown is hung from the same scale in a fluid, the indicates an apparent weight of 129N. what is the mass density of this fluid?

Explanation / Answer

a.If we take GCF , we will get 200 hz

then these frequency are 5th, 7th and 9th harmonic of open-closed pipe

b. 5v/4L= 1000

where v= velocity of sound in air =346 m/s

L= length of pipe =0.4325 m

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