Instructor: Zerefşan Kaymaz TABLE: SELECTED DIMENSIONAL EQUIVALENTS
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1 TABLE: SELECTED DIMENSIONAL EQUIVALENTS 1 m = ft in 1cm =10-2 m = in = ft Length 1 mm = 10-3 m 1 micron (m) = m 1 Angstrom ( o A) 10-6 m 1 hr = 3600 sec = 60 min Time 1 milisec = 10-3 sec 1 microsec (µsec) = 10-6 sec 1 nanosec (nsec) = 10-9 sec 1 kg = 1000 gr = lbm = x10-2 slugs Mass 1 slugs = 1 lbf.sec -2 /ft = lbm 1 amu = 1.66x10-27 kg 1 newton = 1 kg.m/sec 2 Force 1 dyne = 1 gr.cm/sec 2 1 lbf = 4.448x10 5 dyne = newtons 1 joule = 1 kg.m 2 /sec 2 = cal= ft.lb = 2.78x10-7 kwh 1 joule = 10 7 erg 1 Btu = ft.lbf= 1.055x10 15 erg = 252 cal Energy 1 cal = joule 1 erg = 1 gr.cm 2 /sec 2 1 ev = 1.602x10-19 joules = 160x10-12 erg 1 Watt = 1 kg.m 2 /sec 3 = 1 joule/sec Power 1 hp = 550 ft.lbf/sec 1 hp = 2545 Btu/hr = 746 Watts 1 kwatt = 1000 Watts = 3413 Btu/hr 1 atm = lbf/in 2 = 760 torr 1 mmhg = lbf/in 2 = 1 torr 1 dyne/cm 2 = x10-7 Pressure 1 bar = lbf/in 2 = 10 6 dynes/cm 2 1 micron (µ) = 10-6 mhg = 10-3 mmhg 1 pascal (Pa) = 1 N/m 2 = 1 kg/(m s 2 ) 1 hpa = 1 mb 1 hpa = 100 Pa Volume 1 gal = ft 3 1 liter = cm 3 1 o K = 1 o C = 1.8 o F = 1.8 o R Temperature 0 o C corresponds to 32 o F, o K, and o R 1 ev = o K Magnetic Quantities 1 Gauss = 1 g 1/2 /cm 1/2.sec 1 Gauss = 10 3 coul/m.sec for M 1 Gauss = (1/4π)x10 3 coul/m.sec for H 1 Gauss = 10-4 Tesla for B 1 Tesla = 1 kg/coul.sec 1 Tesla = 1 kg/a.sec 2 1 nt = 10-9 Tesla 1 nt = 10-5 Gauss 1 gamma = 1 g = 1 nt Magnetic Flux: φ B B r = kg/sec.coul E-potential: = B da, 1 Weber = 1 kg.m 2 /coul.sec ε, d ε = E r dl E, 1 volt = 1 kg.m 2 /coul.sec 2 Electrical Quantities E r = kg.m/coul.sec Current Density: coul/m 2.sec Current: coul/sec Resistance (R): 1 ohm = 1 kg.m 2 /coul 2.sec 1
2 PHYSICAL CONSTANTS Avogadro s Number N = 6.025x10 23 /g.mole Bolzman s Constant k = 1.38x10-23 joule / o K Stefan Boltzmann Constant σ = 5.7x10-5 erg/cm 2.sec. o K 4 σ = 5.67x10-8 joule/m 2.sec. o K 4 Gas Constant R = ft.lbf/lb.mole. o R R = joule/g-mole. o K R = 8317 joule/kg-mole. o K R = Btu/lb.mole. o R R = cal/g.mole. o K Planck s Constant h = 6.625x10-34 joule.sec Biot-Savart Constant 1/4πε o = 8.987x10 9 kg.m 3 /coul 2.sec 2 µ o /4π = 1.000x10-7 kg.m/coul 2 Electronic Charge e = x10-7 coul Proton Mass m p = 1.67x10-27 kg Electron Mass m e = 9.1x10-31 kg Speed of Light c = 2.998x10 8 m/sec Newton s Constant g c = ft.lbm/lbf.sec 2 Gravitational Constant k G = 6.67x10-11 m 3 /kg.sec 2 Wienn s Constant c = 0.28 cm. o K Sun-Earth Distance 1 AU = 1.5x10 8 km Solar Constant for Earth I o = 1.94 cal/cm 2 min I o = 1370 Watt/m 2 Sun s Radius R sun = 7x10 5 km Sun s Mass M sun = 2x10 30 kg Sun s Surface Temperature T = 6000 o K Sun s Luminosity L = 4x10 26 Watt Earth s Radius R Earth = 6378 km Earth s Albedo A or α = % 33 or 0.33 Magnetic Field at the Earths s Equator B o = 0.36 Gauss (CGS) B o = 0.3x10-4 Tesla (MKS) µ o µ o = 4πx10-7 (MKS, Henry/m, or kg.m/coul 2, Henry = kg.m 2 /coul 2 ) R : Universal Gas Constant R * : Specific Gas Constant R * =(Rx10 3) /M, M = 29 amu for Air R * = (8.317x10 3 )/29 = 286 (MKS) P = ρr * T or PV=RT 2
3 Symbol MKS (SI ) CGS (Gaussian System) Length 1 m 10 2 cm Mass 1 kg 10 3 g Time 1 s, 1 sec 1 s, 1 sec Force 1 N 10 5 dynes Work or Energy 1 J 10 7 erg Power 1 W 10 7 ergs/s Charge 1 C 3x10 9 statcoul Current 1 A 3x10 9 statamp Electric Field Strength 1 V/m (1/3)x10-4 statvolt/cm Electric Potential 1 V (1/300) statvolt Electric Polarization 1 C/m 2 3x10 5 statcoul/cm 2 Electric Displacement 1 C/m 2 12πx10 5 statvolt/cm 2 Resistance 1 Ω (1/9)x10-11 s/cm Capacitance 1 F 9x10 11 cm Magnetic Flux 1 Wb 10 8 Maxwells Magnetic Induction 1 T 10 4 Gauss Magnetic Field Strength 1 A-turn/m 4πx10 3 Gauss To convert to Multiply by kilo 10 3 mega 10 6 giga 10 9 centri 10-2 mili 10-3 micro 10-6 nano 10-9 pico ppmv = one per million 10-6 ppbv = one per billion 10-9 pptv = one per trillion
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T m / A. Table C2 Submicroscopic Masses [2] Symbol Meaning Best Value Approximate Value
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