The furlong–firkin–fortnight (FFF) system is a humorous system of units based on unusual or impractical measurements. The length unit of the system is the furlong, the mass unit is the mass of a firkin of water, and the time unit is the fortnight. Like the SI or metre–kilogram–second systems, there are derived units for velocity, volume, mass and weight, etc.
While the FFF system is not used in practice, it has been used as an example in discussions of the relative merits of different systems of units. Some of the FFF units, notably the microfortnight, have been used jokingly in computer science. Besides having the meaning "any obscure unit", the derived unit furlongs per fortnight has also served frequently in classroom examples of unit conversion and dimensional analysis.
Base units and definitions
|Unit||Abbreviation||Dimension||SI unit||Imperial unit|
|furlong||fur||length||201.168 m||220 yards|
|firkin||fir||mass||40.8233133 kg||90 lb|
|fortnight||ftn||time||1,209,600 s||14 days|
Notable multiples and derived units
Microfortnight and other decimal prefixes
One microfortnight is equal to 1.2096 seconds. This has become a joke in computer science because in the VMS operating system, the TIMEPROMPTWAIT variable, which holds the time the system will wait for an operator to set the correct date and time at boot if it realizes that the current value is bogus, is set in microfortnights. This is because the computer uses a loop instead of the internal clock, which has not been activated yet to run the timer. The documentation notes that "[t]he time unit of micro-fortnights is approximated as seconds in the implementation".
Furlongs per fortnight
One furlong per fortnight is a speed which would be barely noticeable to the naked eye. It converts to:
- 1.663×10−4 m/s, (i.e. 0.1663 mm/s),
- roughly 1 cm/min (to within 1 part in 400),
- 5.987×10−4 km/h,
- roughly 3/8 in/min,
- 3.720×10−4 mph.
Speed of light
The speed of light is 1.8026×1012 furlongs per fortnight (1.8026 megafurlongs per microfortnight). By mass–energy equivalence, 1 firkin is equal to 3.24936676×1024 firkin·furlong2/ (≈ 3.478×1015 BTU, or 3.669×1018 joules).
Notes and references
- Stan Kelly-Bootle, "As Big as a Barn?", ACM Queue, March 2007, pp. 62–64.
- Robert Slade, Dictionary of information security, Syngress, 2006, ISBN 1-59749-115-2, p. 122.
- John D. Neff, "Imbedding the Metric", The Two-Year College Mathematics Journal, Vol. 14, No. 3 (Jun., 1983), pp. 197–202.
- For example, in Jack G. Ganssle, The art of designing embedded systems, 2nd ed., Newnes, 2008, ISBN 0-7506-8644-8, p. 50.
- Giambattista, Alan; Richardson, Betty McCarthy & Richardson, Robert C. (2004). College Physics. Boston: McGraw Hill. p. 20. ISBN 0-07-052407-6.
- Stephan, Elizabeth A.; Park, William J.; Sill, Benjamin L.; Bowman, David R. & Ohland, Matthew W. (2010). Thinking Like an Engineer: An Active Learning Approach. Prentice Hall. p. 259. ISBN 0-13-606442-6.
- The firkin of the FFF System is defined as the mass of an imperial firkin (9 imp gal) of water. The imperial gallon was originally defined as the volume of 10 lb of distilled water (weighed according to specific conditions). From this definition a density of 10 lb/imp gal is derived, giving the firkin of water a mass of 90 lb.
- "microfortnight". Retrieved 2007-07-06.
- "HP OpenVMS System Management Utilities Reference Manual". Archived from the original on 2018-08-24.
- Indeed, if the inch were defined as 2.5454... cm, it would be 1 cm/min, see "FAQ for newsgroup UK.rec.sheds, version 2&3/7th". 2000. Archived from the original (TXT) on 2006-03-06. Retrieved 2006-03-10.
- The foot-fathom is a unit of area: 1 foot-fathom = 6 square feet.
- Page-Jones, Meilir & Constantine, Larry L. (2000). Fundamentals of object-oriented design in UML. Addison–Wesley. p. 235. ISBN 0-201-69946-X.