8.5 Bernoulli's Equation

    Cards (69)

    • What does the principle of conservation of energy state for fluids?
      Total energy remains constant
    • The density of the fluid must remain constant for the conservation of energy principle to apply.

      True
    • What happens to kinetic energy when water flows uphill in terms of energy conservation?
      Decreases as it gains potential energy
    • What happens to the kinetic energy of water as it flows uphill?
      It decreases
    • Pressure in Bernoulli's Equation is measured in Pascals.

      True
    • In Bernoulli's Equation, velocity is measured in m/s
    • The acceleration due to gravity in Bernoulli's Equation is 9.8 m/s².

      True
    • The inverse relationship between velocity and pressure is known as Bernoulli's principle
    • What principle does Bernoulli's Equation relate to?
      Energy conservation
    • Bernoulli's Equation includes terms for pressure, density, velocity, and height.

      True
    • One key assumption of Bernoulli's Equation is that the fluid is incompressible
    • Bernoulli's Equation assumes the flow is along a streamline.
      True
    • The conservation of energy for fluids relates kinetic and potential energies mathematically using density, velocity, and height
    • Order the types of energy involved in the conservation of energy for fluids:
      1️⃣ Kinetic energy
      2️⃣ Potential energy
    • Bernoulli's Equation relates pressure, kinetic energy, and potential energy in a fluid flow
    • What does density represent in Bernoulli's Equation?
      Mass per unit volume
    • What does height measure in Bernoulli's Equation?
      Vertical distance from a reference level
    • What happens to pressure when velocity increases in a fluid flow?
      Pressure decreases
    • Arrange the relationships between the variables in Bernoulli's Equation
      1️⃣ Pressure is inversely proportional to velocity
      2️⃣ Velocity is inversely proportional to pressure
      3️⃣ Height is directly proportional to potential energy
      4️⃣ Height is inversely proportional to kinetic energy
    • What is Bernoulli's Equation a statement of?
      Energy conservation
    • What does velocity measure in Bernoulli's Equation?
      The speed of the fluid
    • The conservation of energy principle for fluids states that the total energy within a closed system remains constant
    • What are the key assumptions in the conservation of energy principle for fluids?
      Constant fluid density and a closed system
    • What is the vertical distance from a reference level called in Bernoulli's Equation?
      Height
    • The variable 'ρ\rho' in Bernoulli's Equation represents density
    • Bernoulli's Equation is a statement of energy conservation for fluids in motion
    • Match the variable in Bernoulli's Equation with its symbol:
      Pressure ↔️ P
      Density ↔️ ρ\rho
      Velocity ↔️ v
      Height ↔️ h
      Acceleration due to gravity ↔️ g
    • The acceleration due to gravity, denoted by 'g', has a value of 9.8 m/s².
    • Match the variable with its description:
      Pressure ↔️ The force per unit area exerted by the fluid
      Density ↔️ The mass per unit volume of the fluid
      Velocity ↔️ The speed of the fluid
    • What are the units of pressure in Bernoulli's Equation?
      Pascals
    • The velocity in Bernoulli's Equation is measured in meters per second.
      True
    • Bernoulli's equation describes the relationship between pressure, velocity, and height in a fluid flow.
    • An increase in velocity leads to a decrease in pressure according to Bernoulli's principle.
      True
    • The relationship between pressure, velocity, and height in Bernoulli's equation can be summarized as inversely proportional for pressure and velocity.
    • Pressure and velocity are inversely proportional according to Bernoulli's Equation.

      True
    • In Bernoulli's Equation, height is directly proportional to potential energy.
    • How does the curved shape of an airplane wing generate lift according to Bernoulli's principle?
      Creates pressure difference
    • Siphons rely on Bernoulli's equation to function.

      True
    • Steps to solve problems using Bernoulli's Equation:
      1️⃣ Apply the principle of conservation of energy for fluids
      2️⃣ Substitute known values into the equation
      3️⃣ Solve for the unknown variable
    • Bernoulli's Equation can be used to analyze fluid flow in pipes.

      True
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