1. A spherical balloon 6 m. in diameter is filled with helium gas 0.1785 kilogram per cubic meter. In standard air weighing 12 N/m³. what is the maximum load, including its own weight, that the balloon can lift?

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1. A spherical balloon 6 m. in diameter is filled with helium gas 0.1785 kilogram per cubic meter.
In standard air weighing 12 N/m³. what is the maximum load, including its own weight, that
the balloon can lift?
2.
An iceberg (y = 9 kN/m3) floats in ocean water (y = 10 kN/m3) with 700 m³ of the iceberg
protruding above the free surface. What is the volume of the iceberg below the free surface?
3. A cylindrical tank weighing 500 kg, has a diameter of 2m, a height of 3m. It is used as a buoy
at sea with a cubical concrete anchor. Specific weights: Sea Water = 1000 kg per cu. m.;
Concrete = 2400kg/m3. Calculate the size of the concrete anchor to sink the buoy 2m into the
sea.
4.
A cube of wood floating in water supports a 200g mass, when the mass is removed the cube
rises 5 cm. Find the size of the cube.
5. What is the rate of flow (in m³/min) of water flowing through a pipe with a diameter of 25mm
and a speed of 0.50 m/sec?
6. A pipe has a diameter of 120 mm at section AA and a diameter 60mm at section BB. The
velocity of an incompressible fluid is 0.3 m/sec at section AA. What is the flow velocity at
the section BB.
Transcribed Image Text:1. A spherical balloon 6 m. in diameter is filled with helium gas 0.1785 kilogram per cubic meter. In standard air weighing 12 N/m³. what is the maximum load, including its own weight, that the balloon can lift? 2. An iceberg (y = 9 kN/m3) floats in ocean water (y = 10 kN/m3) with 700 m³ of the iceberg protruding above the free surface. What is the volume of the iceberg below the free surface? 3. A cylindrical tank weighing 500 kg, has a diameter of 2m, a height of 3m. It is used as a buoy at sea with a cubical concrete anchor. Specific weights: Sea Water = 1000 kg per cu. m.; Concrete = 2400kg/m3. Calculate the size of the concrete anchor to sink the buoy 2m into the sea. 4. A cube of wood floating in water supports a 200g mass, when the mass is removed the cube rises 5 cm. Find the size of the cube. 5. What is the rate of flow (in m³/min) of water flowing through a pipe with a diameter of 25mm and a speed of 0.50 m/sec? 6. A pipe has a diameter of 120 mm at section AA and a diameter 60mm at section BB. The velocity of an incompressible fluid is 0.3 m/sec at section AA. What is the flow velocity at the section BB.
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