A pressurized 2-m-diameter tank of water has a 10-cm-diameter orifice at the bottom, where water discharges to the atmosphere. The water level initially is 3 m above the outlet. The tank air pressure above the water level is maintained at 450 kPa absolute and the atmospheric pressure is 100 kPa. Neglecting frictional effects, determine (a)how long it will take for half of the water in the tank to be discharged and (b)the water level in the tank after 10 s.
Solution to 97P
Step 1 of 5
We need to find the time by which half of water in the tank will be discharged through the orifice of diameter 10 cm and the amount of water remaining in the tank of diameter 2m after 10s.
Pressure above the water tank
We need to use Bernoulli’s principle to compute the required data,
Bernoulli’s principle is given as,
At the points given in the diagram,
is the height of water in the tank above the orifice.