An open water tank drains through a round opening with a diameter of 15 mm in its side. The free surface is 3 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
An open water tank drains through a small opening in its side. The free surface is 7.5 m above the opening. Ignoring losses, find the jet velocity v at the opening. Use g = 9.81 m/s².
Water flows through a horizontal pipe that narrows from 150 mm to 75 mm. In the wide section the pressure is 340 kPa and the velocity is 2.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.
A pitot-static tube in a water pipe reads a difference of 26 kPa between the stagnation pressure and the static pressure. Find the water velocity v at the tip.
A horizontal venturi meter (inlet 300 mm, throat 150 mm) carries water. A mercury U-tube manometer connected between the inlet and the throat shows a level difference of 280 mm. The discharge coefficient is 0.98. 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 closed water tank has compressed air above the water at a gauge pressure of 170 kPa. Water leaves through an opening with a diameter of 20 mm, 1.5 m below the water surface, into the open air. Ignoring losses, find the flow rate Q. Use g = 9.81 m/s².
Answer key
- 1. Q = 1.356 L/s
- 2. v = 12.13 m/s
- 3. p2 = 293.1 kPa
- 4. v = 7.211 m/s
- 5. Q = 148.8 L/s
- 6. Q = 6.038 L/s
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