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John Johnson edited The Earth.tex
over 10 years ago
Commit id: 1d68c4ced6290a4c3a6ced3d0c63064cd97249d2
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\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 $D_{\rm US}$ represents a segment of the Earth's circumference. There are four time zones (three intervals) from Boston to Los Angeles, out of 24, so $D_{\rm US}$ represents 1/8 of the Earth's circumference.
\begin{align}
\label{cearth}
C_\oplus = 8 D_{\rm US} &= 2\pi R_\oplus \nonumber \\
R_\oplus &= \frac{8 D_{\rm US}}{2 \pi}
\end{align}
\item {\it What is the mass of the Earth?}
\end{enumerate}