Problem 53P

A pressurized tank of water has a 10-cm-diameter orifice at the bottom, where water discharges to the atmosphere.

The water level is 2.5 m above the outlet. The tank air pressure above the water level is 250 kPa (absolute) while the atmospheric pressure is 100 kPa. Neglecting frictional effects, determine the initial discharge rate of water from the tank.

Step 1 of 6:

A pressurized water tank is connected to an orifice at its bottom. To find the initial discharge rate of water under the given pressure.

Diameter of the orifice = 10 cm

Radius of the orifice = 5 cm or 0.05 m

Height of the water level h = 2.5 m

Pressure above the water level = 250 kPa(initial pressure)

Atmospheric pressure = 100 kPa(pressure at the bottom)

Density of water = 1000 kg/m3

Acceleration due to gravity = 9.81 m/s