Question

A water tank open to the atmosphere at the top has two small holes drilled into its side, one directly above the other. The holes are 5 cm and 12 cm above the floor. How high dose the water stand in the tank if the two streams of water hit the floor at the same place?

Answer 1

Exit flow velocity of water through hole =

Where h is the distance from the water level in the tank to the hole.

distance the water covers =

H is the distance of the hole from the floor

Let the total height of the tank = k = h + H

h = k - H

Therefore the distance the water covers after exiting the hole is,

As water from both holes travel the same distance,

Therefore the water stands at a height of 17 cm in the tank.