Units and Physical Constants


Go Back to Hiro's Physics Main

Length

1 km (kilometer) = 1000 m
1 cm (centimeter) = 1.0 × 10-2m (0.01 m)
1 mm (millimeter) = 1.0 × 10-3m (0.001 m)
1 μm (micrometer) = 1.0 × 10-6m (0.000001 m)
1 nm (nanometer) = 1.0 × 10-9m (0.000000001 m)
1 Å (angstrom) = 1.0 × 10-10m (0.0000000001 m)
1 pm (picometer) = 1.0 × 10-12m (0.000000000001 m)
1 fm (femtometer) = 1.0 × 10-15m (0.000000000000001 m)

1" (inch) = 0.0254 m
1' (foot) = 12" = 0.3048 m
1 yd (yard) = 3' = 36" = 0.914 m
1 mile = 5280' = 1609 m

Practices:
1. Convert 2300 miles into meters.
0.6996 m
1.429 m
3700700 m
2. Convert 7 inches into meters.
0.01778 m
0.1778 m
275.6 m
3. Convert 0.5 inches into millimeters.
12.7 mm
1.27 mm
0.127 mm
4. Convert 212 μm into inches.
8.346×10-3 inches
5.385×10-6 inches
8346 inches
5. Convert 34 Å into μm.
34×10-3 μm
3.4×10-3 μm
3.4×10-15 μm
6. Convert 12.4 mm into nm.
1.24×10-5 nm
12.4×10-5 nm
1.24×107 nm


Mass

1 g (gram) = 1.0 × 10-3kg (0.001 kg)
1 oz (ounce) = 28.350 g = 0.02835 kg
1 lb (pound) = 16 oz = 0.453 kg
1 metric ton = 1000 kg
1 short ton = 2000 lb = 0.907 metric ton = 9070 kg
1 long ton = 2240 lb = 1.016 metric ton = 1016 kg

Practices:
1. Convert 480. lb into kg.
1060 kg
217 kg
9.44 × 10-4 kg
2. Convert 9.3 oz into kg.
3.0 × 10-3 kg
0.26 kg
330 kg
3. Convert 2.34 long ton into g.
2.30 × 10-6 kg
2.38 kg
2.38× 106 kg


Area

1 ar (are) = 100 m2
1 ha (hectare) = 10000 m2
1 acre = 4046.8 m2

Practices:
1. Convert 7088 acre into m2.
1.752 m2
2.868 × 107 m2
2.868 × 108 m2
2. Convert 3200. ha into acre.
0.7907 acre
7907 acre
1.295 × 107 acre
3. Convert 543 ha into are.
54300 are
5430000 are
5.43 are


Volume, Capacity, US liquid measure

1 L (litter) = 1000 mL (millilitter) = 1000 cc = 1000 cm3

1 cu in or in3 (cubic inch) = 16.387 cm3 = 0.000016387 m3
1 cu ft or ft3 (cubic foot) = 28317 cm3 = 0.028317 m3
1 cu yd or yd3 (cubic yard) = 0.765 m3

1 pt (pint) = 0.473 L (liters)
1 qt (quart) = 2 pt = 0.946 L
1 gal (gallon) = 4 qt = 3.785 L

Practices:
1. Convert 20.0 gal into L.
0.189 L
5.28 L
75.7 L
2. Convert 13.5 ft3 into m3.
0.00210 m3
0.382 m3
477. m3
3. Convert 90.8 in3 into yd3.
1.14 × 10-3 yd3
1.95 × 10-3 yd3
514. yd3


Angle

Plane Angle
1º (degree) = 60' (minutes) = 3600" (seconds)

1 rad (radian) = 180/πº = 57.296º
1g (grad) = 0.9º
1 sign = 30º
1 mil = 180/3200º or 0.05625º = 1/16g
1 r (revolution) = 360º = 1 circle = 1 turn = 2π rad = 4 guadrants = 4 right angles
1 sextant = 60º

Solid Angle
1 deg2 (square degree) = 3600 min2 (square minute) = 12960000 s2 (square second)
1 sr (steradian) = (180/π)2 deg2 = 3282.80635 deg2
1 octant = 5156.619 deg2 = π/2 sr       (Octant is also called spherical right angle.)
1 hemisphere = 20626.4796 deg2 = 2π sr
1 sphere = 41252.9592 deg2 = 4π sr       (Sphere is also called solid angle (Ω).)


Astronomy

1 RE (Earth Radius) = 6.371 × 106m
1 R⦿ (Solar Radius) = 6.957 × 108m
1 Gm (gigameter) = 1.00 × 109m = 621370 mi
1 AU (astronomical unit) = 1.4960 × 1011m
1 ls (light-second) = 2.99792458 × 108m = 0.0020040 AU
1 ly (light-year) = 9.4607 × 1015m = 6.3241 × 104AU
1 pc (parsec) = 3.0857 × 1016m = 2.0626 × 105AU = 3.26156 ly
(One parsec is the distance from the Sun to an astronomical object with a parallax angle of one arcsecond from the Earth.)


Physical Units

Physical QuantitiesSI Units and SymbolsDimensionscgs Units
Length meter (m) [L] centimeter (cm)
[1 m = 100 cm]
Mass kilogram (kg) [M] gram (g)
[1 kg = 1000 g]
Velocity meter per second (m/s) [L][T]-1 centimeter per second (cm/s)
[1 m/s = 100 cm/s]
Acceleration meter per second squared (m/s2) [L][T]-2 gal (Gal) (=cm/s2)
[1 m/s2 = 100 Gal]
Temperature kelvin (K) [K] or
[L]2[M][T]-2

Force newton (N) m·kg·s-2
[L][M][T]-2
dyne (dyn)
[1 N = 105 dyn]
Pressure pascal (Pa) N/m2
[L]-1[M][T]-2
barye (Ba)
[1 Pa = 10 Ba]
Energy joules (J) N·m
[L]2[M][T]-2
erg (erg)
[1 J = 107 erg]
Power watts (W) J/s
[L]2[M][T]-3
erg per second (erg/s)
[1 W = 107 erg/s]
Frequency helz (Hz) s-1    [T]-1
Electric Charge coulomb (C) A·s     [A][s] statcoulomb (statC) or franklin (Fr)
[1 C = 2.998×109 statC]
Electric Current ampere (A) [A] statAmpere (statA) or franklin per second (Fr/s)
[1 A = 2.998×109 statA]
Electric Potential volt (V) W/A or J/C
[M][L]2[T]-3[A]-1
statvolt (statV)
[1 V = 3.33564×10-3 statV]
Capacitance farad (F) C/V
[T]4[A]2[L]-2[M]-1
statfarad (statF)
[1 F = 8.98755×1011 statF]
Electric Resistance ohm (Ω) V/A
[T]-3[A]-2[L]2[M]
statohm (statΩ)
[1 Ω = 1.11265×10-12 statΩ]
Electric Conductance siemen (S) or mho (Ω-1) A/V
[T]3[A]2[L]-2[M]-1

Magnetic Flux weber (Wb) V·s
[T]-2[A]-1[L]2[M]
gauss square centimeter (Gs·cm2)
[1 Wb = 108 Gs·cm2]
Magnetic Flux Density tesla (T) Wb/m2
[T]-2[A]-1[M]
gauss (Gs)
[1 T = 105 Gs]
Magnetic Field Strength amp per meter (A/m) N/Wb
[A][L]-1
oersted (Oe)
[1 A/m = 1.25664×10-2 Oe]
Inductance henry (H) Wb/A
[T]-2[A]-2[L]2[M]
stathenry (statH)
[1 H = 1.11265×10-12 statH]
Luminous Intensity candela (cd) [cd]
Luminance nit (nt) cd/m2
[cd][L]-2
stilb (sb)
[1 nt = 10-4 sb]
Luminous Flux lumen (lm) cd·steradian
Illuminance lux (lx) lumen/m2
Radioactivity becquerel (Bq) second-1
[T]-1

Absorbed Dose gray (Gy) J·kg-1
Dose Equivalent on the Human Body sievert (Sv) J·kg-1


Physical Constants

Physical ConstantsSymbolsFiguresSI Unitscgs Units
Speed of light (vacuum) c 2.997925 108m/s 1010cm/s
Gravitational constant G 6.67384 10-11Nm2kg-2 10-8dyn cm2g-2
Elementary charge e 1.60210 10-19C 10-20emu
4.80298 10-10esu
Avogadro number N 6.02252 1026kmol-1 1023mol-1
Rest mass of an electron me 9.10908 10-31kg 10-28g
5.48597 10-4u (atomic mass unit) 10-4u (atomic mass unit)
Rest mass of a proton mp 1.67252 10-27kg 10-24g
1.00727663 u (atomic mass unit) u (atomic mass unit)
Faraday constant F 9.64853365 104C/mol 103emu
2.89261 1014esu
Planck constant h 6.62559 10-34J s 10-27erg s
ℏ=h/(2π) 1.054494 10-34J s 10-27erg s
Reciprocal of fine-structure constant α-1 137.035999
Mass-to-charge ratio of an electron e/me 1.758796 1011C/kg 107emu
5.27274 1017esu
Magnetc flux quantum Φ0=h(2e) 2.067833758 10-15Wb 10-7G cm2
Bohr radius a0 5.29167 10-11m 10-9cm
Rydberg constant R 1.0973731568539 107m-1 105cm-1
Compton wavelength of electron λc=h/(mec) 2.4263102389 10-12m 10-10cm
Compton wavelength of proton λc,p 1.321398 10-15m 10-13cm
Bohr magneton μB 9.27400915 10-24J/T 10-21erg/G
g-factor of electron g=2|μe|/μB 2.00231923
Nuclear magneton μN 5.05050 10-27J/T 10-24erg/G
Magnetic moment of proton μp 1.41049 10-26J/T 10-23erg/G
μpN 2.79274
Magnetic moment of neutron μnN -1.91314
Gas constant R0 8.31434 J deg-1 mol-1 107erg deg-1
Boltzmann constant kB 1.3806488 10-23J deg-1 10-16erg deg-1

Go Back to Hiro's Physics Main