Pressure and Fluids at Rest

Name: Pressure and Fluids at Rest
Author: StemPy Lab

Why do your ears hurt when you dive deep, and how can a small force lift a car in a garage? In this course we define pressure, we find how it grows with depth, we use Pascal's law for the hydraulic lift, we measure the pressure of the air and of a gas, and we use Archimedes' principle to find when a body floats or sinks.

3 lessons, about 1 h 15 min3 simulations12 problems6 practice questionsPython in every lesson

Created by StemPy Lab

Course outline (3 lessons)

Lesson 1about 25 min
Pressure, density and Pascal's law
Pressure is force per unit area, in pascal. In a liquid at rest it grows with depth, $p = p_0 + \rho gh$ , and it is the same at all points at one depth, whatever the shape of the vessel. Pascal's law: a change of pressure in an enclosed fluid is passed on to every part of it, which is how hydraulic lifts and brakes multiply a force.
1 simulation2 practice questions1 Python program4 problems1 Python lab1 question set
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Lesson 2about 25 min
Atmospheric pressure and gauge pressure
The air presses on everything with about $1.013 \times 10^{5}\ \text{Pa}$ at sea level, enough to hold up $76\ \text{cm}$ of mercury in a barometer. Gauge pressure is the pressure above the air's; absolute pressure includes it. An open-tube manometer measures gauge pressure as a difference of liquid levels, $p - p_0 = \rho gh$ .
1 simulation2 practice questions1 Python program4 problems
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Lesson 3about 25 min
Buoyancy and Archimedes' principle
Archimedes' principle: a body in a fluid is pushed up with a force equal to the weight of fluid it pushes aside, $F_B = \rho_f V g$ . A body sinks if it is denser than the fluid; otherwise it floats with the fraction $\dfrac{\rho_b}{\rho_f}$ of its volume under. Weighing a body in air and in water gives its relative density.
1 simulation2 practice questions1 Python program4 problems1 Python lab1 note
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Pressure and Fluids at Rest: Practice Paper

15 questions · 20 min

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Pressure and Fluids at Rest

Course outline (3 lessons)

Pressure, density and Pascal's law

Atmospheric pressure and gauge pressure

Buoyancy and Archimedes' principle

Test Your Learning

Your teacher

Discussion (0)