this is for holding javascript data
John Johnson edited The Earth.tex
over 10 years ago
Commit id: 983dc0680d669dadcc90578dedf38d539ce26b46
deletions | additions
diff --git a/The Earth.tex b/The Earth.tex
index 2f3f9b8..e60430f 100644
--- a/The Earth.tex
+++ b/The Earth.tex
...
\begin{enumerate}
\item {\it What is the radius of the Earth?}
My most recent frequent-flyer statement says that there are 3000 miles from Boston (BOS) to Los Angeles (LAX). Since planes travel along great circles, this distance
$D_{\rm us}$ $D_u$ represents a segment of the Earth's circumference. There are four time zones (three intervals) from Boston to Los Angeles, out of 24, so
$D_{\rm us}$ $D_u$ represents 1/8 of the Earth's circumference.
\begin{align}
2\pi R_\oplus &= 8
D_{\rm us} D_u \nonumber \\
R_\oplus &= \frac{8
D_{\rm US}}{2 D_u}{2 \pi} \nonumber \\
&= \frac{8 (3000 {\rm miles}}{2\times3} \nonumber \\
&= 4000~{\rm miles} \nonumber \\
&= 6400~{\rm km}