Question

A cylindrical tube that is 2.50 mm long and has a radius of 150 mmmm is filled with water. It is oriented with its long central axis vertical, and it is open to the air at the upper end. A hole 80.0 mmmm in radius is drilled in the bottom, and the water is allowed to drain out.

a) When the water level is half the height of the tube what is the speed of the water exiting though the hole?

b) At what rate (in meters cubed per second) is the water leaving the tube?

c) How fast is the top of the water column falling?

Answer 1

a)

From Continuity equation

From Bernouili's equation

given h2=h/2 = 2.5/2 =1.25 m

b)

Flow rate is given by

c)