water begins draining from a 500cm tall container out of two

water begins draining from a 50.0-cm tall container out of two spouts, one 20.0-cm and the other 40.0-cm above the base. If the water level is maintained at 45-cm by an outside supply, find the velocities for the flow of water out of these two spouts.

Solution

As water level is maintaind at 45 cm so velocity of water flow below height h is

V1 = sqrt(2gh1)

height of first spout from upper end

h1 = 45-40 = 5cm = 0.05m

V1 = sqrt (2*9.8*0.05)

V1 = 0.99m/s

velocity from second spout is

V2 = sqrt(2gh2)

h2 = 45-20 = 25cm = 0.25m

V2 = sqrt(2*9.8*0.25)

V2 = 2.21m/s