1 – Numerical Integration
Help your colleague from the mechanical department to design a car airbag to meet the Head Injury Criterion (HIC). You can choose to at least match the Mercedes Benz HIC = 310 or the 1995 Audi 8 HIC = 142.
• https://www.intmath.com/applications-integration/hic-head-injury-criterion.php
• https://www.intmath.com/applications-integration/hic-part2.php
2 – Numerical Integration
The force between charges is proportional to the product of their charges and inversely proportional to the square of the distance between them.
So we can write:
where q1 and q2 are in coulombs (C), x is in meters, the force is in newtons and k is a constant, k = 9 × 109.
It follows that the work done when electric charges move toward each other (or when they are separated) is given by:
Write a Python program to solve the following problem: An electron has 1.6×10−19 C negative charge. How much work is done in separating two electrons from a pm to b pm? ( “pm” means picometer =10−12 meters, randomly pick a and b between [1pm, 10pm] ).
https://www.intmath.com/applications-integration/8-electric-charges.php
3 – Differential Equation
Create an RLC circuit that will generate a 2nd order (or higher order) differential equation. Use Python to solve for a selected current or voltage source.
4 – Differential Equation
Model a hospital ER (Emergency Room) with a general ERU (ER Unit) and an ICU (Intensive Care Unit) specializing in COVID-19 treatment with ventilation equipment. You can leverage the concept and code from this lecture and provide your own model for the ERU and the ICU.
In the model below, the Water Tank 1 can be your ERU and Water Tank 2 can be your ICU.
https://apmonitor.com/do/index.php/Main/LevelControl