Week 3 - Solving second order ODEs

Aim: The script should take column numbers as the input and plot the respective columns as separate images Each file should be saved by the name of the column The plot labels should be extracted from the file. If I request a plot between column 1 (crank angle) and column 8(volume), then the label information should automatically…

Answers: 1. popt- In 'popt' the fit parameters(i.e, the coefficients of the provided function) will be stored. These fit parameters are calculated by curve fitting.     pcov- Curve estimates the covariance associated with the fit results(i.e, coefficients) and stores it in 'pcov' in this case. This 'pcov' describes…

Aim: The main objective is to write a program that solves the following ODE. This ODE represents the equation of motion of a simple pendulum with damping for 0-20 sec, for angular displacement=0, angular velocity=3 rad/sec at time t=0.   Theory: This is a simple pendulum that has a  mass 'm', length 'L', and…

Aim: The aim of this project is to write a code that can solve an otto cycle and make plots for it. Main objectives of this project are: 1. Write a code to create a PV diagram 2. To find the output of the thermal efficiency of the engine.   Theory:   Otto cycle is a set of four processes - (1). 1-2: Adiabatic…