Question

Fluid dynamics

Answer 1

the velocity of fluid emitted from an orifice is

\[v=\sqrt{2gh}\]

Where h is the height of fluid above.

(This can be derived from bernouilli equation - but it is a well documented equation)

In this case h = 5.6m as the orifice is .4m above the bottom of the tank.

The orifice is 4.4 m above the ground and it vertical movement is 'falling under gravity'

Its initial VERTICAL velocity is 0

So - vertical for the water to reach the ground:
s=ut +0.5gt^2

you know s, u=0, g so you can calculate t

Then HORIZONTALLY you have uniform linear motion

so s=vt

where v was calculated as the orifice velocity, and t was calculated as time to fall to ground.

Answer 2

Thank you so much!!