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Black 10 - Sussex Olympic Rings Mystery Cache

This cache has been archived.

Long Man: Archiving at owners request.

Andy
Long Man
Volunteer UK Reviewer - Geocaching.com
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Hidden : 6/27/2012
Difficulty:
3.5 out of 5
Terrain:
2.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

Black Olympic Ring - Cache #10



This series of 65 puzzle caches has been placed to celebrate the London 2012 Olympics and Paralympics. Each ring is set by different cachers and contains 11 or 12 hides plus a bonus. The whole design is over 4km across. You will need to find all caches for a ring in order to find the bonus and complete the ring.

There are three Medal caches above the rings, Bronze, Silver and Gold. See the Bonus cache descriptions for how to find them. See the Gold Medal cache page for full series credits.

The Sussex Olympics Rings Team is: NogNod, Tootsie's Trackers, Cachedragon, Martletsman, ProfTonks, AnTsInRpAnTs & Lost!

You can do all the black ring caches in a single walk. It's not a loop, but it should link with caches in the yellow and green rings. If you do the black ring caches in reverse order, you'll have to double back for the bonus.


This series is now featured in issue 10 of The Seeker the magazine of the Geocaching Association of Great Britain. See this link


PUZZLE

Each lane of the olympic athletics running track is made of two straights and two perfect semicircles. Obviously, to run a one lap race in lanes a staggered start is required between each lane, if everyone is to use a common finish line. But how long is the one lap stagger between each lane.

To answer this question you need to know that each lane of a standard olympic track is 1.22m wide, (including the width of the painted line that separates them). The equation for the circumference of circle c is c = 2 x pi x radius of the circle. Thus the length of each semicircle curve is pi x radius.



Interestingly, you don’t need to know the radius of the curve (which is 37m for the inside lane), or the length of one lap (which is 400m for the inside lane), or the length of the straight (which is 83.76m for all lanes), in order to get the answer.

Calculate the one lap lane stagger between each lane as A.BCm rounding up to the nearest 0.01m. (i.e. if the answer was 4.485 use 4.49)

Assume pi = 3.14159

Warning : If you just try and google the answer you might get a slightly wrong answer, because not every track uses lanes that are 1.22m wide.

Co-ords N51 0(C-B) . (B-2)C(A-3) , W 000 0B . (A-C)(B-4)(C+2)



Geochecker allows +/- 3m on the solution

Additional Hints (Decrypt)

wnzzrq va irel ynetr zbffl ybt. Rnfg bs gur cnguf.

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)