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Tanks With Connecting Conduit Angular Natural Frequency Equations and Calculator

Machine Design and Engineering

Tanks With Connecting Conduit Angular Natural Frequency Equations and Calculator

Tanks With Connecting Conduit Angular Natural Frequency Equations and Calculator

ωn = [ 9 ( 1 + S1 / S2 ) / ( h ( i + S1/S2 + i ( S1/So ) ] (1/2)

Where:

g = Gravity 32.2 ft / sec2
S1 = Area (Cross Sectional) of Tank 1 (ft2),
S2 = Area (Cross Sectional) of Tank 2 (ft2),
So = Area (Cross Sectional) of Conduit (ft2),
h = Height / Depth ( ft ),
i = Distance Between Tanks (ft),
ωn = Angular Natural Frequency ( rad/sec or Hz)

1 rad/sec = 1/( 2π ) Hz

Related and Useful Links:

Reference Harris, Shock and Vibration Handbook

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