Grade: High School - 4

PII.3.4
Develop and apply Bernoulli’s principle and continuity equations to predict changes in the speed and pressure of a moving incompressible fluid.

I Can Statements Academic Vocabulary
I can develop Bernoulli’s principle and continuity equations.

I can apply Bernoulli’s principle and continuity equations to predict changes in the speed and pressure of a moving incompressible fluid.

Bernoulli’s Principle
Continuity

Cross Cutting Concepts
Energy and Matter
Scale, Proportion, and Quantity
Looking Back Looking Ahead
Develop and apply the principle of constant volume flow rate to determine the relationship between cross-sectional area of a pipe and the velocity of an incompressible fluid flowing through a pipe. (PII.3.3)

Understand and apply the principle of conservation of energy to determine the total mechanical energy stored in a closed system and mathematically show that the total mechanical energy of the system remains constant as long as no dissipative (i.e. nonconservative) forces are present. (PI.4.5)

Identify the forms of energy present in a scenario and recognize that the potential energy associated with a system of objects and is not stored in the object itself. (PI.4.2)

Investigate a process in which energy is transferred from one form to another and provide evidence that the total amount of energy does not change during the transfer when the system is closed. (Law of conservation of energy) (7.PS.8)

Describe how a change in the pressure of as static fluid in an enclosed container is transmitted equally in all directions (Pascal’s Principle) and apply Pascal’s Principle to determine the mechanical advantage of a hydraulic system. (PII.3.5)