An open water tank drains through a round opening with a diameter of 40 mm in its side. The free surface is 2.5 m above the opening. Ignoring losses and the contraction of the jet, find the flow rate Q. Use g = 9.81 m/s².
Continuity & Bernoulli worksheet with answers
Seawater (ρ = 1025 kg/m³) flows at 2 m/s through a pipe with an inner diameter of 80 mm. Find the mass flow rate ṁ.
Water flows through a horizontal venturi meter with an inlet diameter of 100 mm and a throat diameter of 50 mm. The pressure at the inlet is 32 kPa higher than at the throat. Ignoring losses, find the flow rate Q.
Water drains from a large open tank through a sharp-edged orifice with a diameter of 30 mm. The water level is kept 2.5 m above the orifice and the discharge coefficient is 0.62. Find the flow rate Q. Use g = 9.81 m/s².
A horizontal venturi meter (inlet 80 mm, throat 40 mm) carries water. A mercury U-tube manometer connected between the inlet and the throat shows a level difference of 220 mm. The discharge coefficient is 0.95. Find the flow rate Q. Use ρ = 1000 kg/m³ for water, 13 600 kg/m³ for mercury and g = 9.81 m/s².
A fountain nozzle points straight up. Just below the nozzle the supply pipe has a diameter of 100 mm and a gauge pressure of 80 kPa. The nozzle exit diameter is 30 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.
Answer key
- 1. Q = 8.801 L/s
- 2. ṁ = 10.3 kg/s
- 3. Q = 16.22 L/s
- 4. Q = 3.069 L/s
- 5. Q = 9.093 L/s
- 6. H = 8.222 m
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