Sounds Of Music C

[SciolyMaster]

Close, but not quite! Your numbers were all off by the same factor - you might want to check your math again.

Isn't it a closed air column though? The wavelength should be 4x the length of the room,

so the fundamentals would be (assuming 2 sig figs) (Click to Show Hidden Text)

[math]343/(4*50)=1.7[/math]for the two 50 m sides and [math]343/(4*20)=4.3[/math]for the 20 m side.

Sorry for not getting to this sooner, but here's what I got (Click to Show Hidden Text)

From what I understand, the formula for a closed rectangular box's resonant frequencies should be [math]\frac{v}{2} = \sqrt{(\frac{l}{L_x})^2+(\frac{m}{L_y})^2+(\frac{n}{L_z})^2}[/math], and with [math]L_x = 50, L_y = 50[/math], and [math]L_z = 20[/math], you can substitute 0, 0, and 1 in any order as [math]l, m,[/math] and [math]n[/math] to get [b]3.4 Hz and 8.6 Hz[/b].

The simpler way, of course, would also be to just find [math]343/(2*50)[/math] and [math]343/(2*20)[/math]

I think you got a fully closed air column confused with a stopped air column, which is closed on one side but not the other. To the best of my knowledge, a fully closed air column should have a fundamental wavelength 2x the length of the room, similar to a string.

Yeah you're right, I used the equation for an air column closed on one side only.