Friday, April 16, 2010

[vzeaqqxu] Binary powers of Planck units

Someday, when we finally switch over to the one true system of measurements, Planck units, we'll be able to mock our metric brethren about their silly system based on arbitrary measurements of the Old Planet and the number of "fingers" possessed by the Old Species.  In preparation for our switchover, here are some conversion factors for some of our favorite units.  There seems to be some disagreement over the Planck charge: I've arbitrarily chosen the electron.

1 foot = 1.816 × 2113 plancklength
1 printerspoint = 1.072 × 2104 plancklength
1 au = 1.621 × 2152 plancklength
1 light year = 1.565 × 2168 plancklength
1 parsec = 1.276 × 2170 plancklength
1 acre = 1.096 × 2243 planckarea
1 Earth area = 1.005 × 2280 planckarea
1 gallon = 1.602 × 2338 planckvolume
1 quart = 1.602 × 2336 planckvolume
1 pint = 1.602 × 2335 planckvolume
1 cup = 1.602 × 2334 planckvolume
1 tablespoon = 1.602 × 2330 planckvolume
1 bushel = 1.864 × 2341 planckvolume
1 pound = 1.242 × 224 planckmass
1 ounce = 1.242 × 220 planckmass
1 AMU = 1.407 × 2-64 planckmass
1 Earth mass = 1.692 × 2107 planckmass
1 Sun mass = 1.074 × 2126 planckmass
1 day = 1.097 × 2160 plancktime
1 lb (force) = 1.639 × 2-145 planckforce
1 c = 1.000 × 20 planckspeed
1 mph = 1.601 × 2-30 planckspeed
Mach 1 = 1.159 × 2-20 planckspeed
1 Earth gravity = 1.319 × 2-169 planckacceleration
1 water density = 1.618 × 2-312 planckdensity
1 BTU = 1.131 × 2-21 planckenergy
1 (food) Calorie = 1.122 × 2-19 planckenergy
1 ton tnt = 1.069 × 21 planckenergy
1 eV = 1.622 × 2-94 planckenergy
1 kW hour = 1.884 × 2-10 planckenergy
1 kW hour/year = 1.204 × 2-178 planckpower
1 hp = 1.922 × 2-166 planckpower
1 ton refrigeration = 1.133 × 2-163 planckpower
1 atmosphere = 1.027 × 2-361 planckpressure
1 inch Hg = 1.098 × 2-366 planckpressure
1 psi = 1.118 × 2-365 planckpressure
1 degF = 1.272 × 2-108 plancktemperature
1 e = -1.000 × 20 planckcharge
1 AA battery = 1.217 × 2-93 planckvoltage
1 power outlet = 1.521 × 2-87 planckvoltage
1 mpg = 1.462 × 2-213 planckgasmileage

where:
planckacceleration = planckspeed / plancktime
planckarea = plancklength^2
planckcharge = e
planckcurrent = planckcharge / plancktime
planckdensity = planckmass / planckvolume
planckenergy = planckforce plancklength
planckforce = planckmass planckacceleration
planckgasmileage = plancklength / planckvolume
plancklength = plancktime c
planckmass = sqrt(hbar c / G)
planckpower = planckenergy / plancktime
planckpressure = planckforce / planckarea
planckspeed = plancklength / plancktime
plancktemperature = planckmass planckspeed^2 / kboltzmann
plancktime = hbar / planckmass c^2
planckvoltage = planckenergy / planckcharge
planckvolume = plancklength^3

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