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Classical Mechanics

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Bernoulli's Equation and the Volume Flow Rate

CLMECH-MAWKMZ

A pipe carrying an ideal fluid of density $\rho$ begins with a cross-sectional area, $A$, then expands to twice its original diameter. The pressure in the expanded section is three times the pressure in the narrower section.

What is the volume flow rate, $R$, of the fluid? The volume flow rate is defined as the volume of fluid that passes a point in the pipe per second.

A

$R = 4A\sqrt{\cfrac{P}{\rho}}$

B

$R = 4A\sqrt{\cfrac{P}{15\rho}}$

C

$R = 4A\sqrt{\cfrac{2P}{15\rho}}$

D

$R = 8A\sqrt{\cfrac{P}{15\rho}}$