Quantification of lego engines

Introduction
The Lego air-powered engine (LAE) or Lego vacuum engine (LVE) is a complex machine with many intricacies and details, all of which can be understood in accordance with the laws of physics.This article will attempt to quantify and name many of the quantities and qualities that LAEs have and to explain them with some high school physics.

Common Terms and Symbols
there are many terms and symbols that are important to be understood. many of them will be used regularly and serve important functions:

Delta: $$\delta, \Delta$$delta is a Greek letter used to indicate an amount of change. It can help to read the capital delta $$\Delta$$as "amount of change in" for example $$\Delta t$$would be "amount of change in t". The small delta is the same thing but is generally reserved for small changes.

Theta: $$\theta (\measuredangle)$$Theta is another Greek letter this time used to denote an angle. Angles will be in radians or degrees unless otherwise stated. $$\Delta\theta$$asin change of angle will normally be in rotations or radians.

time: "$$t$$" is used for time measured in seconds ("$$s$$") unless otherwise stated.

displacement (vector distance): $$\Delta x$$this basically means amount of change in position.

volume: $$V$$measured in cs - cubic studs, cc - cubic centimeters or $$m^3$$- cubic meters

pressure: $$P$$measured in PSI or Pascals or BAR

capacity (AKA displacement (not vector distance)):$$\Delta V$$the volume that an engine can theoretically displace, measured as the cylinder capacity times the number of cylinders.

TBE