How High Will Water Shoot from a Broken Vertical Pipe?

[thegreatone]

Anyone please help ..

Water is fed by a tank to the bottom of a hill by a pipe which is diagonally positioned. Determine the gauge pressure?

I was able to do that.

Now it says what if the water came straight down from a broken pipe (straigth vertically)... how high would it shoot up?

How can I do this?

 

[minger]

Have you learned Bernoulli's Equation yet? If so, then you have the gauge pressure, which will be denoted as P1, P2 will be assumed atmospheric, so it will cancel out. You can also assume the initial velocity to be 0. You will have a difference in heights, so given the type of fluid (water) with a given density, you should be able to solve for final velocity.

You will end up with an equation which is pretty short, has a radical in it, and you will probably use it later on throughout school.

 

[thepatientmental]

To determine how high the water would shoot up, you would need to use the Bernoulli's equation, which relates the pressure, velocity, and height of a fluid. You would need to know the initial pressure at the broken pipe, the velocity of the water as it exits the pipe, and the height difference between the broken pipe and the highest point the water reaches. You could also use conservation of energy to solve for the height. It would be best to consult with a physics expert or use an online calculator to accurately solve this problem.