Does the Angle of a V-Tube Influence Fluid Oscillations?

AI Thread Summary
The discussion focuses on determining how the angle of a V-shaped tube affects fluid oscillations in a "fractionless" fluid. The original poster is familiar with oscillations in U-shaped tubes but struggles to incorporate the angle into the equations for the V-tube. They initially believe the angle may not influence oscillations but express doubt about this conclusion. After some back-and-forth, the poster ultimately resolves their question independently, indicating a lack of external assistance. The conversation highlights the complexity of fluid dynamics in varying tube shapes.
ljeonjko
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Homework Statement


Basically, the goal of the "project" is to find the equation for oscillation of a "fractionless" fluid in a v-shaped tube, regarding the angle. I know how to solve the same problem regarding a u-shaped tube, but in this case, I can't figure out where to place the angle in the equation... Does the angle even affect the osciallations at all? From where I am now, it seems like it doesn't, but I doubt that's true. Any help is appreciated, thank you :)
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Homework Equations


Simple harmonic motion equation.

The Attempt at a Solution


So, I'm currently at w(angular frequency)=sqrt[2*g/(hl+hd/cos(angle)]... is that right?
 
Last edited:
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*ignore this*
 
does anyone have a clue?
 
anybody?
 
Nvm guys, figured it out... thanks for nothing. :)
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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