Velocity of a water jet exiting a water tank drain tube

[WhiteyM]

Homework Statement

Is given: h, H0, d (diameter of the tube), D (diameter of the cylinder), l (length of the tube), L (length of the water jet), ρ.

a) What is the initial velocity of the water jet exiting the tube based on time? (formula)
b) What is the length of the water jet exiting the tube based on time? (formula)

[CHECK ATTACHMENT]

Relevant Equations

p=F/S
p=ρgh

I originally thought about working out the force F with which it pushes the water thru the tube using pressure, and after using impulse and momentum to get the initial velocity, but sadly it wasn't successful. If anyone can help, please.

 

[DaveE]

People often won't open a pdf attachment.

 

[haruspex]

I originally thought about working out the force F with which it pushes the water thru the tube using pressure, and after using impulse and momentum to get the initial velocity, but sadly it wasn't successful. If anyone can help, please.

Do you expect us to guess in what way it was unsuccessful? Please post your attempt, as required by the forum rules.

 

[haruspex]

The question did not make much sense to me until I realised that "initial" might not mean "when the flow starts". Rather, it might mean the velocity at the point of exit, rather than elsewhere in the stream, but at any time t after the flow starts.

 

[jbriggs444]

If one is working from first principles without knowing Bernoulli's principle, this could be a daunting challenge.

 

[erobz]

The question seems a little open in its assumptions and a little closed in reply’s from the OP…