1 SI base units

1.1 Length (metre)

$$1 m = 1.0 m$$

$$1 km = 1000.0 m$$

$$1 cm = 0.01 m$$

$$1 mm = 0.001 m$$

$$1 ft = 0.3048 m$$

$$1 yd = 0.9144 m$$

$$1 in = 0.0254 m$$

$$1 mi = 1609.34 m$$

$$1 nmi = 1852.0 m$$

$$1 au = 1.49598E11 m$$

$$1 ly = 9.46053E15 m$$

$$1 pc = 3.08568E16 m$$

$$1 Å = 1.0E-10 m$$

1.2 Mass (kilogramm)

$$1 kg = 1.0 kg$$

$$1 g = 0.001 kg$$

$$1 u = 1.66054E-27 kg$$

$$1 m.e = 9.10938E-31 kg$$

$$1 lb = 0.453592 kg$$

$$1 t = 1000.0 kg$$

1.3 Time (second)

$$1 s = 1.0 s$$

$$1 min = 60.0 s$$

$$1 hr = 60.0 min$$

$$1 day = 24.0 hr$$

$$1 week = 7.0 day$$

$$1 month = 4.34812 week$$

$$1 yr = 12.0 month$$

1.4 Electric current (ampere)

$$1 A = 1.0 A$$

$$1 Gi = 0.795775 A$$

1.5 Temperature (kelvin)

$$1 K = 1.0 K$$

$$1 °C = 274.15 K$$

$$1 °F = 255.928 K$$

$$1 °Ra = 0.555556 K$$ $$5 / 9 \cdot K = 1.0 °Ra$$

1.6 Amount of substance (mole)

$$1 mol = 1.0 mol$$

$$1 atom = 1.66054E-24 mol$$

1.7 Luminous intensity (candela)

$$1 cd = 1.0 cd$$

2 Units derived from SI base units

2.1 Frequency (hertz)

$$1 / s = 1.0 Hz$$

2.2 Angle (radian)

$$1 rad = 1.0 rad$$

$$1 rev = 6.28319 rad$$ $$2 \cdot {\pi} rad = 1.0 rev$$

$$1 ° = 0.0174533 rad$$ $$1 rev = 360.0 °$$

$$1 ' = 2.90888E-4 rad$$ $$60 ' = 1.0 °$$

$$1 '' = 4.84814E-6 rad$$ $$60 '' = 1.0 '$$

$$1 grad = 0.015708 rad$$ $$1 rev = 400.0 grad$$

2.3 Force (newton)

$$kg \cdot m \cdot {s}^{-2} = 1.0 N$$

$$1 dyn = 1.0E-5 N$$

$$1 kgf = 9.80665 N$$

$$1 lbf = 4.44822 N$$

2.4 Pressure, stress (pascal)

$$kg \cdot {m}^{-1} \cdot {s}^{-2} = 1.0 Pa$$

$$N / {m}^{2} = 1.0 Pa$$

$$1 atm = 101325.0 Pa$$

$$1 bar = 100000.0 Pa$$

$$1 mmHg = 133.322 Pa$$

$$1 inHg = 3386.39 Pa$$

2.5 Energy, work, heat (joule)

$$kg \cdot {m}^{2} \cdot {s}^{-2} = 1.0 J$$

$$N \cdot m = 1.0 J$$ $$C \cdot V = 1.0 J$$ $$W \cdot s = 1.0 J$$

$$1 erg = 1.0E-7 J$$

$$1 eV = 1.60218E-19 J$$

2.6 Power (watt)

$$kg \cdot {m}^{2} \cdot {s}^{-3} = 1.0 W$$

$$J / s = 1.0 W$$ $$V \cdot A = 1.0 W$$

$$1 hp = 735.499 W$$

2.7 Electric charge (coulomb)

$$s \cdot A = 1.0 C$$

$$F \cdot V = 1.0 C$$

$$1 e = 1.60218E-19 C$$

$$1 Fd = 96485.3 C$$

$$1 Fr = 3.3356E-10 C$$

2.8 Voltage (volt)

$$kg \cdot {m}^{2} \cdot {s}^{-3} \cdot {A}^{-1} = 1.0 V$$

$$W / A = 1.0 V$$ $$J / C = 1.0 V$$

2.9 Electric capacitance (farad)

$${kg}^{-1} \cdot {m}^{-2} \cdot {s}^{4} \cdot {A}^{2} = 1.0 F$$

$$C / V = 1.0 F$$ $$s / {\Omega} = 1.0 F$$

2.10 Electric resistance (ohm)

$$kg \cdot {m}^{2} \cdot {s}^{-3} \cdot {A}^{-2} = 1.0 {\Omega}$$

$$1 ohm = 1.0 {\Omega}$$

$$1 / S = 1.0 {\Omega}$$ $$V / A = 1.0 {\Omega}$$

2.11 Electric conductance (siemens)

$${kg}^{-1} \cdot {m}^{-2} \cdot {s}^{3} \cdot {A}^{2} = 1.0 S$$

$$1 / {\Omega} = 1.0 S$$ $$A / V = 1.0 S$$

2.12 Magnetic flux (weber)

$$kg \cdot {m}^{2} \cdot {s}^{-2} \cdot {A}^{-1} = 1.0 Wb$$

$$J / A = 1.0 Wb$$ $$T \cdot {m}^{2} = 1.0 Wb$$

2.13 Magnetic field strength (tesla)

$$kg \cdot {s}^{-2} \cdot {A}^{-1} = 1.0 T$$

$$V \cdot s / {m}^{2} = 1.0 T$$ $$Wb / {m}^{2} = 1.0 T$$

$$N / \left( A \cdot m\right) = 1.0 T$$

2.14 Electrical inductance (henry)

$$kg \cdot {m}^{2} \cdot {s}^{-2} \cdot {A}^{-2} = 1.0 H$$

$$V \cdot s / A = 1.0 H$$ $${\Omega} \cdot s = 1.0 H$$

$$Wb / A = 1.0 H$$

2.15 Luminous flux (lumen)

$$cd \cdot sr = 1.0 lm$$

2.16 Illuminance (lux)

$$cd \cdot {m}^{-2} = 1.0 lx$$

$$lm / {m}^{2} = 1.0 lx$$

2.17 Radioactivity (becquerel)

$$1 / s = 1.0 Bq$$

$$1 Ci = 3.7E10 Bq$$

2.18 Absorbed dose (gray)

$${m}^{2} \cdot {s}^{-2} = 1.0 Gy$$

$$J / kg = 1.0 Gy$$

2.19 Equivalent dose (sievert)

$${m}^{2} \cdot {s}^{-2} = 1.0 Sv$$

$$J / kg = 1.0 Sv$$

2.20 Catalytic activity (katal)

$$mol \cdot {s}^{-1} = 1.0 kat$$

3 Other derived units

3.1 Velocity

$$1 km / hr = 0.277778 m/s$$

$$1 mph = 0.44704 m/s$$

$$1 kn = 0.514444 m/s$$

$$1 Mach = 331.6 m/s$$

$$1 c = 2.99792E8 m/s$$

3.2 Area

$$1 a = 100.0 m²$$

$$1 ha = 10000.0 m²$$

3.3 Volume

$$1 L = 0.001 m³$$

$$1 gal = 0.00378541 m³$$

$$1 oz = 2.95735E-5 m³$$

4 Digital information

$$1 bit = 1.0 bit$$ $$1 bit / s = 1.0 bps$$

$$1 byte = 8.0 bit$$ $$1 byte / s = 8.0 bps$$

5 Metric prefix

5.1 E, P, T, G, M, k, h, da

exa $$1 Em = 1.0E18 m$$

peta $$1 Pm = 1.0E15 m$$

tera $$1 Tm = 1.0E12 m$$

giga $$1 Gm = 1.0E9 m$$

mega $$1 Mm = 1000000.0 m$$

kilo $$1 km = 1000.0 m$$

hecto $$1 hm = 100.0 m$$

deca $$1 dam = 10.0 m$$

5.2 d, c, m, µ, n, p, f, a, z

deci $$1 dm = 0.1 m$$

centi $$1 cm = 0.01 m$$

milli $$1 mm = 0.001 m$$

micro $$1 {\mu}m = 1.0E-6 m$$

nano $$1 nm = 1.0E-9 m$$

pico $$1 pm = 1.0E-12 m$$

femto $$1 fm = 1.0E-15 m$$

atto $$1 am = 1.0E-18 m$$

5.3 IEC binary prefixes

exbi $$1 EiB = 1.15292E18 byte$$

pebi $$1 PiB = 1.1259E15 byte$$

tebi $$1 TiB = 1.09951E12 byte$$

gibi $$1 GiB = 1.07374E9 byte$$

mebi $$1 MiB = 1048580.0 byte$$

kibi $$1 KiB = 1024.0 byte$$