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Anonymous No. 16619026

Is there any physical limit to how large a drum can be? Can a drum as large as a building exist today according to current material strength limits?

Anonymous No. 16619042

drum as in container or drum as in musical instrument?

Anonymous No. 16619054

>>16619026
What are you trying to listen to?
>inb4 gravity

Anonymous No. 16619107

>>16619026
if you were to have the ability to compress the membrane of a huge size then i think the atmospheres your limit

Anonymous No. 16619430

>>16619042
Drum as in musical instrument

>>16619054
>>16619107
My dream is to design a city built around a giant drum

Anonymous No. 16619456

>>16619430
Does it drum when it rains or when the wind blows?

🗑️ Anonymous No. 16619506

>>16619456
The resonant frequency of a circular membrane is
[ eqn ] f_{mn}=\frac{.383}{R} \sqrt{\frac{T}{\rho}} [ /eqn ]
Where R is the radius of the drum in meters, T is the tension in N/m, and rho is the density in kg/m^2. Humans can't hear frequencies below 20hz. You do the math.

Anonymous No. 16619507

>>16619456
The resonant frequency of a circular membrane is
[eqn] f_{mn}=\frac{.383}{R} \sqrt{\frac{T}{\rho}} [/eqn]
Where R is the radius of the drum in meters, T is the tension in N/m, and rho is the density in kg/m^2. Humans can't hear frequencies below 20hz. You do the math.

Anonymous No. 16619592

When the moon is struck by asteroids it rings.

Anonymous No. 16619657

>>16619026
A drum needs to be under constant tension. It’s a 2D string, essentially. The tension is a function of mass, resonant frequency, and string/drum dimensions. Assuming the frequency stays the same, increasing dimensions would increase tension and mass. Mass, by proxy, increases tension as well. At a certain point, your material would tear under all that stress.

Anonymous No. 16619664

>>16619026
Who the fuck sits like that?

Anonymous No. 16619671

>>16619026
Yep

Is just a large resonance chamber try hitting a radiotelescope

Anonymous No. 16619792

>>16619507
>i do not know how the city drum will be oriented
Good plan.

Anonymous No. 16619914

>>16619026
>Can a drum be as large as a building?
Anon has never seen a floating roof tank.

Anonymous No. 16620069

>>16619507
Explain the .383.

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Anonymous No. 16620277

>>16619507
>>16619657
Why do you have to hear the lowest harmonic?

Anonymous No. 16620284

>>16619664
I look like that and sit like that

Anonymous No. 16620356

>>16620069
Emperically derived constants. Please understand

Anonymous No. 16620728

>>16619507
Assuming 500 g/m^2 leather and 2000 N/m, we get
f = .383 x R^-1 x root(4000) = 24.3 R^1
For f = 20 we get R = 1.21 m
So a drum of diameter 2.4m is about the limit with that drum tension/material

None of you faggots did the maths so I did

Anonymous No. 16621574

>>16620728
>none of you faggots did the math
>two anons ITT said the radius is a multivariate function
>retarded enginigger enters ITT
>arbitrarily decides the drum has to be made of leather and the tension limit is this particular number
Congrats, bro. Now compute this for every human hearing frequency and every material if you’re this smart.

Anonymous No. 16621612

>>16621574
>>none of you faggots did the math
factually correct, I don't see any answers here
>>multivariate
yes, so being a good enjener I assumed reasonable values for a couple of variables
>made of leather
chatgpt told me leather has the greatest density per square metre of drum material (good for diameter) of common drum materials, therefore I ran with that

>>arbitrarily
>wants me to solve the equation for all inputs ever and not pick reasonable values for a reasonable answer while clearly stating all assumptions
ok, here's the full equation:
>>16619507
is this helpful retard?

Anonymous No. 16621915

>>16619671
>try hitting a radiotelescope
please don't do that