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. : "Fluid"

Fluids: Floating

(On request: Fiaza Ali)

Q- A spherical brass shell of mass 2.50 kg barely floats in water such that it is completely submerged with the waterline just at its top. The inside of the shell is completely evacuated. The density of brass is 8600 kg/m3 and that of water is 1000 kg/m3.

(a) calculate the …

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Fluids: Hydrodynamics

Q- A container full of air at atmospheric pressure is 3 feet below the surface in a large body of water; this container is 8 feet high by 3 feet square. A 16-inch ID valve is on the bottom of the container and a 2-inch valve is on the top. A 2-inch ID hose connects to this valve and extends 1 foot a…

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Fluid: Poiseuille's Equation

Q- A hypodermic syringe is attached to a needle that has an internal radius of 0.3 cm and a length of 3 cm. The needle is filled with a solution of viscosity 2*10-3 Pa.s to be injected into a vein at a gauge pressure of 16.5 mm of Hg.

(a) What must be the pressure of the fluid in the syringe be in …

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Fluid: Non-viscous flow

Q- For non-viscose fluid, find the power required to actuate the piston to get 2750 psi with an 8.5 second stroke at 6.5 gal/minute at outlet. 

Solution:

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Fluid Dynamics

Q- A hypodermic syringe is attached to a needle that has an inner radius of 0.305 mm and a length of 3.00 cm. The needle is field with a solution of viscosity 2.01*10-3 Pa.s. It is injected in to a vein at a gauge pressure of 16.6 mm of Hg.

(a) What must the pressure of the fluid in the syringe be …

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Archimedes Principle

Q- The gravitational force exerted on a solid object is 5.00N. When the object is suspended from a spring scale and submerged in water, the scale reads 3.50N. Find the density of the object. 

Solution:

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Fluids: Archimedes' Principle

Q- A light balloon is filled with 400m3 of helium at zero degrees Celsius. What is the maximum mass of the payload the balloon can lift? 

Solution:

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Fluids

Q- A siphon tube is filled with gasoline and closed at each end. One end is inserted into a gasoline tank 0.20 m below the surface of the gasoline. The outlet is placed outside the tank at a distance 0.50 m below the surface of the gasoline. The tube has an inner cross-sectional area of 4.2*10-4 m2.…

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Fluids: Viscosity

Q- A patient is to be given a blood transfusion. The blood is to flow through a wide tube from a raised bottle to a needle inserted in the vein. The inside diameter of the 3.8 cm long needle is 0.4 mm and the required flow rate is 4 cm3 of blood per minute. How high should the bottle be placed a…

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Fluid: Pressure

Q- A side door near the bottom of an oil tank is shown in the figure. Find the force on the door due to the oil pressure. The density of the oil is 855 kg/m3.

Solution:

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Fluids: Viscous Drag

Q- Calculate the force required to pull a copper ball of radius 2.00cm upward through a fluid at the constant speed 9.00 cm/s. Take the drag force to be proportional to the speed, with proportionality constant 0.950 kg/s. Ignore the buoyant force.

Solution:

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Fluids

Q- A sniper fires a rifle bullet into a water tank, making a hole, 53m below the surface of the water. The tank was sealed and is under 3.10 atm of absolute pressure. At what speed does the water begin to shoot out of the hole?

Solution:

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Gas Laws And Fluid pressure

Q- Air is trapped in the lower part of a thin tube that stands vertically with 8cm of mercury in the middle with 12 cm of air trapped below it. The top is open and the system is at equilibrium. What will be the length of the trapped air column if the tube is now tilted so that it makes an angle of 6…

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Hydrodynamics

Q- A hydraulic cylinder needs to push 5.5 gallons of fluid (water) per minute at 2000 psi (like pushing the fluid out of a syringe). How big is the outlet port where the fluid leaves the cylinder?

Solution:

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Floating

Q- What percentage of an ice cube is under water when it is placed into water? What percentage of an ice cube is submerged when it is placed in a drink that is straight 80 proof whiskey? (80 proof mean that it is 40% alcohol and 60% water.)

(Density of ice ri = 917 kg/m3, density of alcohol rA = …

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Buoyancy-Upthrust

A 9.0 kg block of metal is suspended from a scale and immersed in water as in Figure. The dimensions of the block are 12.0 cm *9.0 cm *9.0 cm. The 12.0 cm dimension is vertical, and the top of the block is 5.00 cm below the surface of the water.

  1. What are the forces exerted by the water on the …

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