Physics Lab
Physics Lab
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Flow

We all like having running water available at the turn of a knob, but what's causing the water to flow? We can thank civil engineers and their knowledge of pressure, flow and Bernoulli's principle for designing systems that connect large bodies of water to every kitchen faucet.

So far we've learned how fluid behaves when it's not moving, known as hydrostatics. Now less learn about how fluid moves and hydrodynamics.

In this lesson we'll cover how a difference in pressure causes fluid to flow. We'll also learn how to describe flow using a few simple equations that include volume, time, area and velocity. Since ideal fluids are incompressible, we'll see how a change in flow area results in a change in velocity.

We'll cover Bernoulli's equation, which is based on the law of conservation of energy that we already learned. The total amount of mechanical energy (the sum of the kinetic energy, gravitational potential energy and internal or pressure energy) is the same at any point along the flow, which will be really useful in describing flow.

We'll also learn how to derive Torricelli's law, a specific application of Bernoulli's principle, which describes the speed of a fluid shooting out of a hole in a container, and how the fluid moves faster at greater depths.

Study guide with the variables, equations and examples of laminar flow and turbulent flow
Study guide with the variables, equations and examples of flow rate, speed and area
Study guide with the variables, equations and examples of Torricelli's theorem for stream of fluid exiting a tank
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Flow and Bernoulli's Equation
2

Answers

3

Free-Response Questions

Fluids (previously in AP Physics 2)

Note: These are questions from AP Physics 2 exams before 2025. For some questions only parts of the question are relevant to the Fluids unit in AP Physics 1 as noted below.

  • 2023 Q3 - - Tank of water with pipe and two blocks, fluids, forces, buoyant force, flow, Bernoulli's equation, continuity equation
  • 2022 Q1 - - (Part a) Block in tank of water hanging from string, fluids, forces, FBDs, buoyant force
  • 2021 Q2 - - (Parts b and c) Balloon held underwater, fluids, density, pressure, forces, buoyant force
  • 2018 Q4 - - (Parts a and c) Boat carrying steel bars, fluids, forces, buoyant force, flow, continuity equation
  • 2017 Q1 - - Water flowing through pipe, fluids, flow, continuity equation, Bernoulli's equation, conservation of energy, forces, FBDs, buoyant force

We all like having running water available at the turn of a knob, but what's causing the water to flow? We can thank civil engineers and their knowledge of pressure, flow and Bernoulli's principle for designing systems that connect large bodies of water to every kitchen faucet.

So far we've learned how fluid behaves when it's not moving, known as hydrostatics. Now less learn about how fluid moves and hydrodynamics.

In this lesson we'll cover how a difference in pressure causes fluid to flow. We'll also learn how to describe flow using a few simple equations that include volume, time, area and velocity. Since ideal fluids are incompressible, we'll see how a change in flow area results in a change in velocity.

We'll cover Bernoulli's equation, which is based on the law of conservation of energy that we already learned. The total amount of mechanical energy (the sum of the kinetic energy, gravitational potential energy and internal or pressure energy) is the same at any point along the flow, which will be really useful in describing flow.

We'll also learn how to derive Torricelli's law, a specific application of Bernoulli's principle, which describes the speed of a fluid shooting out of a hole in a container, and how the fluid moves faster at greater depths.

Flow and Bernoulli's Equation
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