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SI: bushel Mystery Cache

Hidden : 4/15/2019
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


The International System of Units (SI), commonly known as the metric system, is the international standard for measurement. The SI plays an essential role in international commerce and is commonly used in scientific and technological research and development. This cache is part of the SI geoart that allows you to learn about the SI units. Visit the introduction cache to learn more about this geoart.

Example of non-SI unit: bushel

The bushel is a unit of weight or mass based on an earlier measure of dry capacity. It is not an SI unit. I decide to include this unit in the SI series, as an example of how complicated a unit could be when not using International Systems of Units.

Bushel as a Volume unit

The imperial bushel, established by UK’s Weights and Measures Act of 1824, is defined to be the volume of 80 avoirdupois pounds of distilled water in air at 62 ℉. It equals 8 imperial gallons, 4 imperial pecks, or 36.36872 litres.

The Winchester bushel was the volume of a cylinder 18.5 inch in diameter and 8 inch high. The volume of this cylinder is 684.5π cubic inches, which is an irrational number.

The US bushel is a variant of the Winchester bushel, rounded to exactly 2150.42 cubic inches. It equals 8 US dry gallons, 4 US pecks, or approximately 35.2391 litres.

Bushel as a Weight unit

When grains are bought and sold on commodity markets, the bushels are units of weight. The definition of bushel differs per commodity, and on the moisture content of the commodity. For example, in United States market:

  • A bushel of barley is 48lb.
  • A bushel of oats is 32lb.
  • A bushel of soybeans at 13% moisture is 60lb.

This Geocache

Blueberries are typically sold in US dry pint containers. 867 pints of blueberries equals how many imperial gallons? Round to an integer to get ABC.

What’s the weight of 14 bushels of wheat at 18% moisture in kilograms? Round to an integer to get DEF.

Final coordinates: N 39° 09.ABC W 077° 08.DEF


You can validate your puzzle solution with certitude.

Cache container is a baby-nano with tiny log sheet. A pair of tweezers is mandatory for log retrieval. To conserve space, please omit the date and write the first two letters of your username only.

Some hides are located along a road without sidewalk. For your safety, please walk on the grass out of the car lanes, and avoid going at night without wearing a safety vest.

Lists of Caches in SI geoart

  1. introduction
  2. second and hertz
  3. metre
  4. kilogram
  5. m/s and km/h
  6. mole
  7. radian and steradian
  8. m/s² and newton
  9. m² and pascal
  10. joule and watt
  11. ampere and coulomb
  12. volt and farad
  13. ohm
  14. kelvin
  15. candela, lumen, and lux
  16. bushel
  17. foreword & afterword
  18. prize distribution

Additional Hints (Decrypt)

pheir

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)