Finding water height from tank hole using Bernoulli's equation

[noagname]

Homework Statement

You have a tank that is on top of a 1 meter post. The tank is filled with water to an unknown height. At the bottom of the tank there is a 3.5mm hole that is squirting out water a horizontal distance of .6 meters.

Homework Equations

Bernoulli's equation p1 +.5*rho*v1^2 + rho*gravity*height
A1v1=A2v2
delta X = 1/2*acceleration *Time^2

The Attempt at a Solution

I tried a couple different things that didn't work out, so far I have v= (19.6H)^(1/2) and the equation solving for delta X.
What I really want to know, that will help for all of my problems is. Is there an equation where I plug in change of speed, or area and I get the pressure change. Anything of that sort, or is Bernoulli the only why to go?

Thank You

 

[Delzac]

Hmmm, it sounds like bernoulli's equation is what you are looking for. Torricelli's law might be what you are looking for, but then again it is just another form of bernoulli's equation.

And for this problem, you simply have to relate torricelli's law to what happens at the opening.

I height of the water level in the tank i calculated to be 0.09m. Not sure if this is correct though.

 

[noagname]

Thanks that correct, how did you figure that out.

 

[Delzac]

Like what i said, you have to relate torricelli's law to the horizontal velocity. The rest is simple.

 

[noagname]

Yea I just figured it out, thanks