Project: Simulation of the movement of an automobile engine's piston
Contents of maths:
Parametrics functions, Differential and Integral Calculus, Series of functions…
![Image](https://stage.geogebra.org/resource/qi2lCUlC/KNhiX0d2oc8YEuHA/material-qi2lCUlC.png)
Internal Combustion Engine
![Internal Combustion Engine](https://stage.geogebra.org/resource/N5ip2Y5G/GShGbN05twLwlpLc/material-N5ip2Y5G.png)
First activity
Analysing and simulating of the movement of an automobile engine’s piston, like the figure below, without considering friction forces.
Physical model of an automobile engine’s piston
![Physical model of an automobile engine’s piston](https://stage.geogebra.org/resource/qq7g3nsf/AjCqBqwnCkD7Gfy7/material-qq7g3nsf.png)
Mathematical expressions of the physical model
![Mathematical expressions of the physical model](https://stage.geogebra.org/resource/ypxevPpp/byAl24WZTExdGhDk/material-ypxevPpp.png)
![Image](https://stage.geogebra.org/resource/ZqOsQ3EV/tcXiFT11cBjKuAAF/material-ZqOsQ3EV.png)
Second activity
Simulating the thermal behavior and movement within a piston cylinder.
Considering the valves closed and the displacement of the piston depends only of the movement of the crankshaft.
![Image](https://stage.geogebra.org/resource/qInpy0ia/nXijKZj8FGubPVWq/material-qInpy0ia.png)
![Image](https://stage.geogebra.org/resource/PHY0RqME/dgd3GG7U0C2vkZoE/material-PHY0RqME.png)
Simulation of the movement of an automobile engine's piston
Third activity
Develop a Geogebra applet that enables the user to find a Taylor polinomial of a function f(x).
The applet should allow:
- Type f(x);
- Change the order of the Taylor polynomial;
- Change the center of the series