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How Fast Are You Moving? Traditional Geocache

Hidden : 12/2/2011
Difficulty:
1 out of 5
Terrain:
1 out of 5

Size: Size:   micro (micro)

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Geocache Description:

The Information Super Highway Series, with an array of information from the World Wide Web! Off of the bike path along The Circumferential Highway! Bike or walk this trail connecting Nashua and Hudson! Just standing at this cache you are currently traveling around 354.86177 mph (571.1 km/h)!

The earth rotates on its axis once each day. Since the circumference of the earth at the equator is 24,901.55 miles, a spot on the equator rotates at approximately 1037.5646 miles per hour (1037.5646 times 24 equals 24,901.55) (1669.8 km/h).

At the North Pole (90 degrees north) and South Pole (90 degrees south), the speed is effectively zero since that spot rotates once in 24 hours, a very, very slow speed.

To determine the speed at any other latitude, simply multiply the cosine of the degree latitude times the speed of 1037.5646.

Thus, at 45 degrees north, the cosine is .7071068 so multiply .7071068 times 1037.5464 and the speed of the rotation is 733.65611 miles per hour (1180.7 km/h).

For other latitudes...

10° - 1021.7837 mph (1644.4 km/h)
20° - 974.9747 mph (1569.1 km/h)
30° - 898.54154 mph (1446.1 km/h)
40° - 794.80665 mph (1279.1 km/h)
50° - 666.92197 mph (1073.3 km/h)
60° - 518.7732 mph (834.9 km/h)
70° - 354.86177 mph (571.1 km/h)
80° - 180.16804 mph (289.95 km/h)

In addition to the rotational speed of the earth spinning on its axis, the earth is also speeding at about 66,660 miles per hour (107278.87 km/h) in its revolution around the sun once ever 365.2425 days.

Incidentally our GPS satellites pass over us twice a day!

Necessary: Please Bring Tweezers, to get the log out!
This is a Muggled Area, the need for stealth can not be suggested enough.
The Hint is a spoiler, so don't use it, unless desperate.

Congratulations to nashuan on the FTF!
Honorable Mention to whistler102 on the STF!

Additional Hints (Decrypt)

Guvf jvyy fjvgpu lbhe guvaxvat. Fgebat Zntargvp

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)