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Questions and Answers
Which equation represents Bernoulli's Principle?
Which equation represents Bernoulli's Principle?
- Q = A1v1 = volumetric flow rate
- r1A1v1 = r2A2v2
- m1 = m2
- P1 + ½ rv12 W = DKE + DPE + rgy1 = P2 + ½ rv22 + rgy2 (correct)
According to the Continuity Equation, what is the condition for mass flowrate in a tube with single entry and single exit point?
According to the Continuity Equation, what is the condition for mass flowrate in a tube with single entry and single exit point?
- m1 = m2
- Q = A1v1 = volumetric flow rate
- r1A1v1 = r2A2v2 (correct)
- P1 + ½ rv12 W = DKE + DPE + rgy1 = P2 + ½ rv22 + rgy2
What is the main principle behind the continuity equation in fluid dynamics?
What is the main principle behind the continuity equation in fluid dynamics?
- Pascal's Principle
- Archimedes' Principle
- Conservation of energy
- Conservation of mass (correct)
When does a faucet on the second floor of a house have zero water flow even if open?
When does a faucet on the second floor of a house have zero water flow even if open?
What happens to the gauge pressure of a faucet located 6.5m above the first floor of a house?
What happens to the gauge pressure of a faucet located 6.5m above the first floor of a house?
What is the primary focus of Hydrostatics in Fluid Mechanics?
What is the primary focus of Hydrostatics in Fluid Mechanics?
What is the principle that states any fluid applies buoyant force to an object immersed in it?
What is the principle that states any fluid applies buoyant force to an object immersed in it?
In the context of floating objects, what does the Principle of Flotation state?
In the context of floating objects, what does the Principle of Flotation state?
Which principle explains why ships float in water?
Which principle explains why ships float in water?
Which principle involves the undiminished transmission of pressure in a fluid confined in a container?
Which principle involves the undiminished transmission of pressure in a fluid confined in a container?
What is the main concept behind Bernoulli's Principle in Fluid Mechanics?
What is the main concept behind Bernoulli's Principle in Fluid Mechanics?
If a submerged object weighs less than the buoyant force acting on it, what will happen to the object?
If a submerged object weighs less than the buoyant force acting on it, what will happen to the object?
Which principle deals with the transmission of pressure in a confined fluid?
Which principle deals with the transmission of pressure in a confined fluid?
In which situation will an object float in a fluid?
In which situation will an object float in a fluid?
What does the Continuity Equation in Fluid Mechanics describe?
What does the Continuity Equation in Fluid Mechanics describe?
How does Archimedes' Principle relate to the floating of large ships?
How does Archimedes' Principle relate to the floating of large ships?
What happens to the pressure in a fluid when its velocity increases according to Bernoulli's Principle?
What happens to the pressure in a fluid when its velocity increases according to Bernoulli's Principle?
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Study Notes
Bernoulli's Principle and Equation
- Bernoulli's Principle: the pressure in a fluid decreases with increased velocity of the fluid
- Bernoulli's Equation: P1 + ½rv12 + rgy1 = P2 + ½rv22 + rgy2
- Continuity Equation: m1 = m2, r1A1v1 = r2A2v2 for an incompressible fluid, where Q = A1v1 = volumetric flow rate
Fluid Mechanics
- Definition: substances that yield readily to any force that alters its shape and therefore flows
- Types: liquids or gases
- Kinds of Fluid Mechanics:
- Hydrostatics: for fluids at rest
- Fluid Kinematics: for fluids in motion
Archimedes' Principle
- Any fluid applies buoyant force to an object that is partially or completely immersed in it
- Buoyant Force (BF): force equal to the weight of the fluid that the object displaces
- BF = rVg, where r = density of fluid and V = volume of object
- Conditions for sinking, floating, or remaining at a level:
- weight of submerged object > BF, object will sink
- weight of submerged object = BF, object will remain at a level
- weight of submerged object < BF, object will float to the surface
Principle of Flotation
- A floating object displaces a weight of fluid equal to its own weight
Pascal's Principle
- The pressure applied to a fluid confined in a container is transmitted undiminished throughout the fluid and acts in all directions
- Hydraulic Jack: an application of Pascal's Principle
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