Fundamental  Physical and Mathematical Constants
Name symbol English SI
Mathematical
Archimedes number p 3.141592654 3.141592654
base of natural logs e 2.718281829 2.718281829
Euler constant C or t 0.577215665 0.577215665
catalan constant G 1.644936903 1.644936903
Charge
electron e  -1.6022x10-19C
proton p 1.6021x10-19C
Density
air[STP][32oF, (0oC)] .0805 lbm/ft3 1.29  kg/m3
air[1atm][70oF, (20oC)] .0749 lbm/ft3 1.20 kg/m3
earth[mean] 345 lbm/ft3 5520 kg/m3
mercury 849 lbm/ft3 1.36x104 kg/m3
sea water 64 lbm/ft3 1025 kg/m3
water [mean] 62.4 lbm/ft3 1000 kg/m3
Distance  [mean]
earth radius 2.09x107 ft 6.37x106 m
earth-moon seperation 1.26x109 ft 3.84x108 m
earth sun seperation 4.89x1011 ft 1.49x1011 m
moon radius 5.71x106ft 1.74x106 m
sun radius 2.28x109 ft 6.96x108 m
first Bohr radius ao 1.736x10-10 ft 5.292x10-11 m
Gravitational Acceleration
earth [mean] g 32.174ft/sec2 9.8067 m/s2
moon  [mean] 5.47 ft/sec2 1.67 m/s2
Mass
atomic mass unit u 3.66x10-27 lbm 1.6606x10-27kg
earth 4.11x1023 slugs 6x1024kg
earth [customary] 1.32x1025 lbm n.a.
electron[rest] me 2.088x10-30 lbm 9.1095x10-31kg
moon 1.623x1023 lbm 7.36x1022kg
neutron[rest] mn 3.693x10-27 lbm 1.6750x10-27kg
proton [rest] mp 3.688x10-27 lbm 1.6727x10-27kg
sun 4.387x1030 lbm 1.99x1030kg
Pressure
atomospheric 14.696 lbf/in2 1.0133x105 Pa
Temperature
standard 32oF, (492oR) 0oC, (273oK)
Velocity
earth escape 3.67x104 ft/sec 1.12x104  m/s
light[vacuum] c 9.84x108 ft/sec 2.9979x108  m/s
sound[air,STP] a 1090 ft/sec 331 m/s
sound [air, 70oF, (20oC)] 1130 ft/sec 344 m/s
Volume
molal idea gas[STP] 359 ft3/lbmol 22.41 m3/kmol
Fundamental Constant
Avogadro's number NA 6.022x1023 mol-1
Bohr magneton mB 9.2732x10-24 J/T
Boltzmann constant k 5.65x 10-24 ft-lbf/oR 1.3805x10-23 J/K
Faraday constant F 96485 C/mol
Gravitational constant gc 32.174 lbm-ft/lbf-sec2
Gravitational constant G 3.44x10-8ft4/lbf-sec4 6.672x10-11 N.m2/kg2
nuclear magneton mN 5.05x10-27 J/T
vacuum permeability m0 1.2566x10-6 N/A2
vaccum permittivity e0 8.854x10-12 C2/N m2 (H/m)
Planck's constant h 6.6256x10-34 J.s (F/m)
Rydberg constant Rinfinity 1.097x107 m-1
specific gas constant air R 53.3  ft-lbf/lbm-oR 287 J/kg.K
Stefan-Boltzmann constant 1.71x10-9 BTU/ft2-hr-oR4 5.670x10-8 W/m2.k4
triple point, water R* 32.02oF, .0888 psia .001109oC, .06123 kPa
universal gas constant R* 1545 ft-lbf/lbmol-oR 8314 J/kmol.K
1.986 BTU/lbmol-oR