Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

ME19B197: Assignment 4 submission #57

Open
wants to merge 2 commits into
base: main
Choose a base branch
from
Open

ME19B197: Assignment 4 submission #57

Show file tree
Hide file tree
Changes from all commits
Commits
Show all changes
2 commits
Select commit Hold shift + click to select a range
619ce12
added me19b197.tex
vai-bhav-m Jul 26, 2021
709710d
first
vai-bhav-m Jul 26, 2021
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
6 changes: 4 additions & 2 deletions main.tex
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -14,7 +14,9 @@
\section{Introduction}
Add a line to include your text as illustrated in the comment below.

% \section{ME20B001}
% \include{me20b001}
\section{ME19B197}
A detailed explanation of one of my favourite equations in Physics can be seen below:
\input{me19b197}


\end{document}
16 changes: 16 additions & 0 deletions me19b197.tex
View file
Open in desktop
Original file line number Diff line number Diff line change
@@ -0,0 +1,16 @@
\begin{center}
\textbf{Acceleration of a body in a Rotating Frame}
\end{center}
$$ \vec{a} = \vec{a}_o + \vec{\alpha} \times \vec{r}_{rel} + \vec{\omega} \times \vec{\omega} \times \vec{r}_{rel} + 2 \vec{\omega} \times \vec{v}_{rel} + \vec{a}_{rel} $$

where the above used symbols stand for
\begin{itemize}
\item $ \vec{r}_{rel} $: position vector of object with relative to the rotating frame
\item $ \vec{v}_{rel} $: velocity of object relative to the rotating frame
\item $ \vec{a}_{rel} $: acceleration of object relative to the rotating frame
\item $ \vec{a}_o $: absolute acceleration of the rotating frame
\item $ \vec{\omega} $: angular velocity of the rotating frame
\item $ \vec{\alpha} $: angular acceleration of the rotating frame
\end{itemize}

This equation may not be among the flashy equations of Physics, like \textit{Navier-Stokes equation}, \textit{Schrodinger's equation}, etc., but is definitely one of my favourite equations out there. My personal affinity to this equation particularly comes from the presence the \textbf{Coriolis acceleration} term ($ 2 \vec{\omega} \times \vec{v}_{rel} $). When I first learnt about this concept of Coriolis acceleration in my 1st semester at IITM, it intrigued me to the point of watching numerous YouTube videos to understand what this \textit{Coriolis acceleration} actually meant. I went on the explore its significance in day-today life and found out that the direction of rotation of a hurricane/cyclone is determined by the Coriolis acceleration provided by the rotating Earth! I can very confidently say that this concept and equation kindled my inner Mechanical Engineer and has kept me attached to my subject ever since.