A Lesson on Hydraulics and Pneumatics with Heron

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Presentation transcript:

A Lesson on Hydraulics and Pneumatics with Heron Julia Farry

What is hydraulics and pneumatics?

Syringes with Air

Boyle’s Law For a fixed mass of a gas at constant temperature, the volume is inversely proportional to pressure.

Boyle’s Law Mathematically 𝑃∝ 1 𝑉 or P= 𝑘 𝑉 where k is some constant.

The Graphic Representation <- Plot of Volume against Pressure Pressure Plot of Volume against Pressure -> 1/Pressure https://socratic.org/questions/how-do-you-graph-boyles-law?source=search

Kinetic Theory of Gas https://www.grc.nasa.gov/www/k-12/airplane/kinth.html

Pressure on a Microscopic Level This idea has been converted into an equation that helps us find the force a fluid applies on a container. 𝑃= 𝐹 𝐴 Remember Area of a Circle = 𝜋 𝑟 2 Circumference of a Circle = 2𝜋𝑟

Syringes with Water

Microscopic Level https://www.youtube.com/watch?v=21CR01rlmv4

Incompressibility of Water applied in Hydraulics

A Combination of Hydraulics and Pneumatics: Heron’s Fountain This fountain was first constructed by an inventor and mathematician by the name Heron of Alexandria in 1st century AD. Can anyone describe what they predict will happen when I put water in Basin A, and why?

Free Energy?

Law of Conservation of Energy Energy can neither be created nor destroyed but is transferred. What is doing the work then?