Shortcuts to Bernoulli Equation

Here are some shortcuts to bernoulli equation. Finding the speed of fluid in a venturimeter and a hole of a fluid tank.

The speed of water out of the hole V and the horizontal range of water trajectory we could find easily with with formulae:




where g is the acceleration due to gravity and h is the distance of hole to the water or fluid surface.

The second shortcut we'll show is a venturimeter as below image

We could determine the speed of fluid travel into the venturimeter pipe using this shortcut

where A1 is the wider area and A2 is the narrower and h is the height difference between the two venturimeter vertical pipes or tubes.