An open water tank drains through a round opening with a diameter of 15 mm in its side. The free surface is 1.5 m above the opening. Ignoring losses and the contraction of the jet, find the flow rate Q. Use g = 9.81 m/s².
Oil (ρ = 880 kg/m³) flows at 4 m/s through a pipe with an inner diameter of 200 mm. Find the mass flow rate ṁ.
A pitot-static tube in a wind tunnel reads a difference of 1300 Pa between the stagnation pressure and the static pressure. The air density is 1.2 kg/m³. Find the air speed v.
Water flows through a horizontal pipe that narrows from 75 mm to 50 mm. In the wide section the pressure is 120 kPa and the velocity is 2 m/s. Ignoring losses, find the pressure p2 in the narrow section.
A hose with an inner diameter of 25 mm siphons water from an open tank. The highest point C of the hose is 2.5 m above the water surface, and the outlet (open to the air) is 1 m below the water surface. Ignore losses and take g = 9.81 m/s². Find the flow rate Q.
A fountain nozzle points straight up. Just below the nozzle the supply pipe has a diameter of 75 mm and a gauge pressure of 110 kPa. The nozzle exit diameter is 25 mm, and the height difference across the nozzle is negligible. Ignoring losses and air resistance, find the height H the jet rises above the nozzle. Use g = 9.81 m/s².
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