Math & Science ⇒ alignment problem

[ghostanime2001]

How do I transfer the set of equations below the second figure to just below the two top equation blocks and directly adjacent to the figure for the second question?

Code: Select all

\documentclass[fleqn]{article}
\usepackage{fullpage}
\usepackage[left=1in,right=1in,top=1in,bottom=1in]{geometry}
\usepackage{graphicx}
\usepackage{amsmath}
\usepackage{floatflt}
\usepackage[makeroom]{cancel}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{xfrac}
\usepackage{siunitx}
\sisetup{%
  output-decimal-marker={.},
  load-configurations=abbreviations,
  group-separator={,},
  per-mode=fraction,
  fraction-function=\sfrac}
\usepackage{fix-cm}
\pagestyle{empty}
\begin{document}
\begin{enumerate}
\item
\begin{minipage}[t]{2in}
$\begin{aligned}[t]
\Delta t&=\text{9.09 \cancel{hr}}\left(\dfrac{\text{60 \cancel{min}}}{\text{1 \cancel{hr}}}\right)\left(\dfrac{\text{60 s}}{\text{1 \cancel{min}}}\right)=\text{32,724 s} \\
\omega &=\text{?} \\
\omega &=\dfrac{\theta}{\Delta t}=\dfrac{\text{1.34 rad}}{\text{32,724 s}}=\text{\num{4.09e-5} rad/s}
\end{aligned}$
\end{minipage}
\item
\raisebox{1.85ex}{\parbox[t]{2in}{\null\includegraphics[width=\linewidth]{Diagram2}}}
\begin{minipage}[t]{4cm}
$\begin{aligned}[t]
d&=\text{328 m} \\
r&=6.18 \\
T&=\text{24 \cancel{h}}\left(\dfrac{\text{60 \cancel{min}}}{\text{1 \cancel{h}}}\right)
\end{aligned}$
\end{minipage}
$\begin{aligned}[t]
v_{1}&=\dfrac{2\pi r}{T} & v_{2}&=\dfrac{2\pi(r+d)}{T} \\
Tv_{1}&=2\pi r & Tv_{2}&=2\pi(r+d) \\
\dfrac{Tv_{1}}{2\pi}&=r & \dfrac{Tv_{2}}{2\pi}-d&=r \\
\end{aligned}$ 
\begin{align*}
\cfrac{Tv_{1}}{2\pi}&=\cfrac{Tv_{2}}{2\pi}-d \\
d&=\cfrac{Tv_{2}}{2\pi}-\cfrac{Tv_{1}}{2\pi} \\
d&=\cfrac{T}{2\pi}\left(v_{2}-v_{1}\right) \\
\dfrac{2\pi d}{T}&=\Delta v \\
\dfrac{2\pi(328)}{86,400}&=\Delta v
\end{align*}
\end{enumerate}
\end{document}

[Stefan Kottwitz]

Alignment is hardly possible if you mix different environments, such as enumerate, minipage and aligned.

However, if you don't use enumerate and minipage, you can get numbering by using numbers of the math environments. Flushed left numbering and tag appearance could be customized. You could use a big align environment, for example. With \intertext (or \shortintertext from the mathtools package) you can even leave the environment for inserting text and resume.

Stefan

[ghostanime2001]

Is there a way to use vertical space then?

[Stefan Kottwitz]

Yes, of course, there is, using \vspace any other vertical spacing command, or a vertical space option to \\, depending on what is desired.

Stefan

[ghostanime2001]

If I do what you say, will i get the same output?

[Stefan Kottwitz]

Yes, that way the output can be made very similar or even better.

Stefan

[ghostanime2001]

Can you show me an example by what you mean, since there is a zoo of commands lol