Exam 12: Fluid Mechanics

A cubical box,5.00 cm on each side,is immersed in a fluid.The gauge pressure at the top surface of the box is 594 Pa and the gauge pressure on the bottom surface is 1133 Pa.What is the density of the fluid?

The two water reservoirs shown in the figure are open to the atmosphere,and the water has density .The manometer contains incompressible oil with a density of .What is the difference in elevation h if the manometer reading m is 25.0 cm?

A circular cylinder of height 1.20 m having faces of diameter 0.620 m is immersed in water of density with its axis vertical so that its faces are parallel to the surface of the water.The upper face is 2.50 m below the surface of the water.The net force on this cylinder is observed to be 1120 N downward.Atmospheric pressure is .What is the weight of the cylinder?

As shown in the figure,a container has a vertical tube,whose inner radius is 32.00 mm,connected to it at its side.An unknown liquid reaches level A in the container and level B in the tube-level A being 5.0 cm higher than level B.The liquid supports a 20.0-cm high column of oil,between levels B and C,whose density is 460 kg/m³.What is the density of the unknown liquid?

Air is flowing through a rocket nozzle.Inside the rocket the air has a density of and a speed of 1.20 m/s.The interior diameter of the rocket is 15.0 cm.At the nozzle exit,the diameter is 2.50 cm and the density is 1.29 kg/m³.What is the speed of the air when it leaves the nozzle?

A sphere is constructed of two concentric parts.The inner part is a solid sphere of radius 10.0 cm made of a material with density .The outer part is a spherical shell with inner radius 10.0 cm and outer radius 20.0 cm.The material in the outer shell has a density . (a)What is the mass of the sphere? (b)What is the average density of this sphere?

Consider a very small hole in the bottom of a tank in diameter filled with water to a height of Find the speed at which the water exits the tank through the hole.

A board that is 20.0 cm wide,5.00 cm thick,and 3.00 m long has a density .The board is floating partially submerged in water of density 1000 kg/m³.What fraction of the volume of the board is above the surface of the water?

The two water reservoirs shown in the figure are open to the atmosphere,and the water has density 1000 kg/m³.The manometer contains incompressible mercury with a density of 13,600 kg/m³.What is the difference in elevation h if the manometer reading m is 25.0 cm?

As the speed of a moving fluid increases,the pressure in the fluid

Fluid fills the container shown in the figure.At which of the indicated points is the pressure greatest?

A barge is 15.0 m wide and 75.0 m long and has vertical sides.The bottom of the hull is 1.20 m below the water surface.What is the weight of the barge and its cargo,if it is floating in fresh water of density 1000 kg/m³?

If you double the pressure on the surface of a can of water,the buoyant force on a stone placed in that water will

A 6.1-kg solid sphere,made of metal whose density is 2600 kg/ ,is suspended by a cord.When the sphere is immersed in a liquid of unknown density,the tension in the cord is 26 N.Find the density of the liquid.

What is the radius of a sphere that has a density of 5000 kg/m³ and a mass of 6.00 kg?

Water is flowing in a horizontal pipe of diameter d.If you want to change the diameter of this pipe so that the speed of the water would be half as great as it was,what should be the new diameter?

On planet X,the absolute pressure at a depth of 2.00 m below the surface of a liquid nitrogen lake is .At a depth 5.00 m below the surface,the absolute pressure is .The density of liquid nitrogen is 808 kg/m³. (a)What is the atmospheric pressure on planet X? (b)What is the acceleration due to gravity on planet X?

Water flowing through a pipe suddenly comes to a section of pipe where the pipe diameter decreases to 86% of its previous value.If the speed of the water in the larger section of the pipe was what is its speed in this smaller section?

A piece of wood is floating in a bathtub.A second piece of wood sits on top of the first piece,and does not touch the water.If the top piece is taken off and placed in the water,what happens to the water level in the tub?

Water flows in the horizontal pipe shown in the figure.At A the diameter is 5.00 cm and at B the diameter is 4.00 cm The fluid in the manometer is mercury,which has a density of .The manometer reading h is 4.40 cm.We can treat water as an ideal fluid having a density of .What volume of water is flowing through the pipe per second?