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manual:chapter3:units [2018/10/18 08:59] claudio |
manual:chapter3:units [2019/11/19 13:34] (current) claudio [Custom Units] |
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+ | ===== Units ===== | ||
+ | |||
+ | ---- | ||
+ | |||
+ | ==== Entering Units ==== | ||
+ | |||
+ | Units are objects that have 2 separate parts: the value and the unit per se. The value is usually a real number, but units may be attached to other numerical objects as well, for example complex numbers and vectors or matrices can have associated units. The unit part is entered using the underscore '' | ||
+ | |||
+ | The unit is an algebraic expression combining one or more unit symbols, and may be optionally surrounded by square brackets. The brackets are optional for stack input, but mandatory when units are used within a symbolic expression (to separate the unit from other algebraic operations). The '' | ||
+ | |||
+ | Examples of valid unit objects are: \\ | ||
+ | '' | ||
+ | '' | ||
+ | '' | ||
+ | '' | ||
+ | '' | ||
+ | in all cases above, the underscore is being used as a separator, but can be used as an operator as well: \\ | ||
+ | '' | ||
+ | '' | ||
+ | in the first case, the operator '' | ||
+ | |||
+ | Exponents within a unit expression can be integer numbers, real numbers or fractional exponents. The use of fractional exponents is always preferred over real numbers because they can be simplified in an exact way. \\ | ||
+ | '' | ||
+ | |||
+ | ==== Multiples and Submultiples ==== | ||
+ | |||
+ | Multiples and submultiples of many units are obtained by prefixing them with the standard SI prefixes. Therefore, '' | ||
+ | |||
+ | SI prefixes can be used with all SI units and many non-SI units where SI prefixes are common usage. Other non-SI units do not accept prefixes. | ||
+ | |||
+ | ^ SI Prefix | ||
+ | | Y | ||
+ | | Z | ||
+ | | E | ||
+ | | P | ||
+ | | T | ||
+ | | G | ||
+ | | M | ||
+ | | k | ||
+ | | h | ||
+ | | da | $10^{1}$ | ||
+ | | d | ||
+ | | c | ||
+ | | m | ||
+ | | µ | ||
+ | | n | ||
+ | | p | ||
+ | | f | ||
+ | | a | ||
+ | | z | ||
+ | | y | ||
+ | |||
+ | ==== Operating with Units ==== | ||
+ | |||
+ | Unit objects can be operated upon normally, and the system will perform all the necessary unit conversions in the background. Unit consistency is strictly enforced for addition and subtraction, | ||
+ | |||
+ | Results of an addition or subtraction between consistent units will produce a result with the units of the first argument (argument in level 2 of the stack at the time of the operation, or the left argument in an algebraic expression). | ||
+ | |||
+ | Unit conversions can be performed directly using the '' | ||
+ | |||
+ | To reduce a unit to its base components, use the command '' | ||
+ | |||
+ | To extract the value part of a unit object, use the '' | ||
+ | |||
+ | ==== Custom Units ==== | ||
+ | |||
+ | Units in newRPL can be arbitrary symbols, not just the ones predefined in the system. For example, adding '' | ||
+ | |||
+ | Custom units can also be defined as derived units, in terms of other base units. This is done with the '' | ||
+ | |||
+ | Custom units may also accept SI prefixes, but this needs to be explicitly enabled during the unit definition. To create a custom unit that accepts SI prefixes, the name of the unit needs to be preceded by a question mark ''?'' | ||
+ | |||
+ | New units can also be defined in terms of new (unknown) base units. For example typing '' | ||
+ | From that moment the addition '' | ||
+ | |||
+ | Custom units work systemwide, the command '' | ||
+ | |||
+ | |||
+ | ==== Available Units ==== | ||
+ | |||
+ | This is a list of the units available in the '' | ||
+ | |||
+ | === Length === | ||
+ | |||
+ | ^ Unit ^ Unit name ^ Definition ^ Description ^ Prefixable ^ | ||
+ | | 1_m | metre | 1_m | Base SI unit of length | {{fa> | ||
+ | | 1_cm | centimetre | 1_cm = 0.01_m | SI, metric | {{fa> | ||
+ | | 1_mm | millimetre | 1_mm = 0.001_m | SI, metric | {{fa> | ||
+ | | 1_yd | yard | 1_yd = 3_ft | US Customary | {{fa> | ||
+ | | 1_ft | foot | 1_ft = 12_in | US Customary | {{fa> | ||
+ | | 1_in | inch | 1_in = 0.0254_m | US Customary | {{fa> | ||
+ | | 1_Mpc | megaparsec | 1_Mpc = 1000000_pc | Astronomical length | {{fa> | ||
+ | | 1_pc | parsec | 1_pc = (648000/ | ||
+ | | 1_lyr | light year | 1_lyr = 9460730472580800_m | Astronomical length | {{fa> | ||
+ | | 1_au | astronomical unit | 1_au = 149597870700_m | SI astronomical length | {{fa> | ||
+ | | 1_km | kilometre | 1_km = 1000_m | SI, metric | {{fa> | ||
+ | | 1_mi | mile | 1_mi = 5280_ft | US Customary | {{fa> | ||
+ | | 1_nmi | nautical mile | 1_nmi = 1852_m | non-SI length | {{fa> | ||
+ | | 1_miUS | surveying mile | 1_miUS = 5280_ftUS | US surveying length | {{fa> | ||
+ | | 1_chain | surveying chain | 1_chain = 66_ftUS | US surveying length | {{fa> | ||
+ | | 1_rd | rod | 1_rd =16.5_ft | US customary length | {{fa> | ||
+ | | 1_rdUS | surveying rod | 1_rdUS =16.5_ftUS | US surveying length | {{fa> | ||
+ | | 1_fath | surveying fathom | 1_fath =6_ftUS | US surveying length | {{fa> | ||
+ | | 1_ftUS | surveying foot | 1_ftUS = 1200/3937_m | US surveying length | {{fa> | ||
+ | | 1_mil | thousandth of inch | 1_mil = 0.001_in | US customary length | {{fa> | ||
+ | | 1_µ | micron | 1_µ = 1_µm | SI length | {{fa> | ||
+ | | 1_Å | ångström | 1_Å = 0.1_nm | non-SI length | {{fa> | ||
+ | | 1_fermi | fermi | 1_fermi = 1_fm | SI length | {{fa> | ||
+ | |||
+ | | **Area** |||| | ||
| Unit | Unit name | Definition | Description | | | Unit | Unit name | Definition | Description | | ||
- | | 1_m | metre | 1_m | Base SI unit of length | | ||
- | | 1_cm | centimetre | 1_cm = 0.01_m | SI length | | ||
- | | 1_mm | millimetre | 1_mm = 0.001_m | SI length | | ||
- | | 1_yd | yard | 1_yd = 3_ft | US customary length | | ||
- | | 1_ft | foot | 1_ft = 12_in | US customary length | | ||
- | | 1_in | inch | 1_in = 0.0254_m | US customary length | | ||
- | | 1_Mpc | megaparsec | 1_Mpc = 1000000_pc | Astronomical length | | ||
- | | 1_pc | parsec | 1_pc = (648000/ | ||
- | | 1_lyr | light year | 1_lyr = 365.25_d*c | Astronomical length | | ||
- | | 1_au | astronomical unit | 1_au = 149597870700_m | SI astronomical length | | ||
- | | 1_km | kilometre | 1_km = 1000_m | SI length | | ||
- | | 1_mi | mile | 1_mi = 5280_ft | US customary length | | ||
- | | 1_nmi | nautical mile | 1_nmi = 1852_m | non-SI length | | ||
- | | 1_miUS | surveying mile | 1_miUS = 5280_ftUS | US surveying length | | ||
- | | 1_chain | surveying chain | 1_chain = 66_ftUS | US surveying length | | ||
- | | 1_rd | rod | 1_rd =16.5_ft | US customary length | | ||
- | | 1_rdUS | surveying rod | 1_rdUS =16.5_ftUS | US surveying length | | ||
- | | 1_fath | surveying fathom | 1_fath =6_ftUS | US surveying length | | ||
- | | 1_ftUS | surveying foot | 1_ftUS = 1200/3937_m | US surveying length | | ||
- | | 1_mil | thousandth of inch | 1_mil = 0.001_in | US customary length | | ||
- | | 1_µ | micron or micrometre | 1_µ = 1_µm | SI length | | ||
- | | 1_Å | Ångström | 1_Å = 0.1_nm | non-SI length | | ||
- | | 1_fermi | fermi or femtometre | 1_fermi = 1_fm | SI length | | ||
| 1_m%%^%%2 | square metre | 1_m%%^%%2 | | 1_m%%^%%2 | square metre | 1_m%%^%%2 | ||
- | | 1_cm%%^%%2 | square centimetre | 1_cm%%^%%2 = 0.000| 1_m%%^%%2 SI area | | + | | 1_cm%%^%%2 | square centimetre | 1_cm%%^%%2 = 0.0001_m%%^%%2 |
| 1_b | barn | 1_b = 1E-28_m%%^%%2 | non-SI area | | | 1_b | barn | 1_b = 1E-28_m%%^%%2 | non-SI area | | ||
| 1_yd%%^%%2 | square yard | 1_yd%%^%%2 = 9_ft%%^%%2 | US customary area | | | 1_yd%%^%%2 | square yard | 1_yd%%^%%2 = 9_ft%%^%%2 | US customary area | | ||
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| 1_miUS%%^%%2 | survey square mile | 1_miUS%%^%%2 = 9_ftUS%%^%%2 | US surveying area | | | 1_miUS%%^%%2 | survey square mile | 1_miUS%%^%%2 = 9_ftUS%%^%%2 | US surveying area | | ||
| 1_acre | acre | 1_acre = 4840_yd%%^%%2 | US customary area | | | 1_acre | acre | 1_acre = 4840_yd%%^%%2 | US customary area | | ||
+ | |||
+ | | **Volume** |||| | ||
+ | | Unit | Unit name | Definition | Description | | ||
| 1_m%%^%%3 | cubic metre | 1_m%%^%%3 | | 1_m%%^%%3 | cubic metre | 1_m%%^%%3 | ||
| 1_cm%%^%%3 | cubic centimetre | 1_cm%%^%%3 = 1E-6_m%%^%%3 | SI volume | | | 1_cm%%^%%3 | cubic centimetre | 1_cm%%^%%3 = 1E-6_m%%^%%3 | SI volume | | ||
| 1_ml | millilitre | 1_ml = 1_cm%%^%%3 | SI volume | | | 1_ml | millilitre | 1_ml = 1_cm%%^%%3 | SI volume | | ||
- | | 1_l | litre | 1_l = 0.00| 1_m%%^%%3 | SI volume | | + | | 1_l | litre | 1_l = 0.001_m%%^%%3 | SI volume | |
| 1_st | stere | 1_st = 1_m%%^%%3 | non-SI volume | | | 1_st | stere | 1_st = 1_m%%^%%3 | non-SI volume | | ||
| 1_yd%%^%%3 | cubic yard | 1_yd%%^%%3 = 27_ft%%^%%3 | US customary volume | | | 1_yd%%^%%3 | cubic yard | 1_yd%%^%%3 = 27_ft%%^%%3 | US customary volume | | ||
| 1_ft%%^%%3 | cubic foot | 1_ft%%^%%3 = 1728_in%%^%%3 | US customary volume | | | 1_ft%%^%%3 | cubic foot | 1_ft%%^%%3 = 1728_in%%^%%3 | US customary volume | | ||
| 1_in%%^%%3 | cubic inch | 1_in%%^%%3 = 16.387064_cm%%^%%3 | US customary volume | | | 1_in%%^%%3 | cubic inch | 1_in%%^%%3 = 16.387064_cm%%^%%3 | US customary volume | | ||
- | | 1_gal | gallon | 1_gal = 23| 1_in%%^%%3 | US customary volume | | + | | 1_gal | gallon | 1_gal = 231_in%%^%%3 | US customary volume | |
| 1_qt | quart | 1_qt = 1/4_gal | US customary volume | | | 1_qt | quart | 1_qt = 1/4_gal | US customary volume | | ||
| 1_pt | pint | 1_pt = 1/8_gal | US customary volume | | | 1_pt | pint | 1_pt = 1/8_gal | US customary volume | | ||
| 1_cu | cup | 1_cu = 1/16_gal | US customary volume | | | 1_cu | cup | 1_cu = 1/16_gal | US customary volume | | ||
| 1_ozfl | fluid ounce | 1_ozfl = 1/128_gal | US customary volume | | | 1_ozfl | fluid ounce | 1_ozfl = 1/128_gal | US customary volume | | ||
- | | 1_tbsp | table spoon | 1_tbsp = 1/2_ozfl | US customary volume | | + | | 1_tbsp | tablespoon |
- | | 1_tsp | tea spoon | 1_tsp = 1/6_ozfl | US customary volume | | + | | 1_tsp | teaspoon |
| 1_fbm | board foot | 1_fbm = 144_in%%^%%3 | US customary volume | | | 1_fbm | board foot | 1_fbm = 144_in%%^%%3 | US customary volume | | ||
- | | 1_galUK | gallon (UK) | 1_galUK = 0.00454609_m%%^%%3Imperial | + | | 1_galUK | gallon (UK) | 1_galUK = 0.00454609_m%%^%%3 | Imperial |
- | | 1_qtUK | quart (UK) | 1_qtUK = 1/4_galUKImperial | + | | 1_qtUK | quart (UK) | 1_qtUK = 1/4_galUK | Imperial |
- | | 1_ptUK | pint (UK) | 1_ptUK = 1/8_galUKImperial | + | | 1_ptUK | pint (UK) | 1_ptUK = 1/8_galUK | Imperial |
| 1_ozUK | ounce (UK) | 1_ozUK = 1/160_galUK | US customary volume | | | 1_ozUK | ounce (UK) | 1_ozUK = 1/160_galUK | US customary volume | | ||
- | | 1_galC | gallon (Canada) | 1_galC = 1_galUKCanadian | + | | 1_galC | gallon (Canada) | 1_galC = 1_galUK | Canadian |
- | | 1_qtC | quart (Canada) | 1_qtC = 1_qtUKCanadian | + | | 1_qtC | quart (Canada) | 1_qtC = 1_qtUK | Canadian |
- | | 1_ptC | pint (Canada) | 1_ptC = 1_ptUKCanadian | + | | 1_ptC | pint (Canada) | 1_ptC = 1_ptUK | Canadian |
- | | 1_ozC | ounce (Canada) | 1_ozC = 1_ozUKCanadian | + | | 1_ozC | ounce (Canada) | 1_ozC = 1_ozUK | Canadian |
- | | 1_bbl | oil barrel | 1_bbl = 42_galoil | + | | 1_bbl | oil barrel | 1_bbl = 42_gal | oil industry volume | |
| 1_bu | bushel (US) | 1_bu = 2150.42_in%%^%%3 | US customary volume | | | 1_bu | bushel (US) | 1_bu = 2150.42_in%%^%%3 | US customary volume | | ||
| 1_pk | peck (US) | 1_pk = 1/4_bu | US customary volume | | | 1_pk | peck (US) | 1_pk = 1/4_bu | US customary volume | | ||
- | | 1_buUK | bushel (UK) | 1_buUK = 8_galUKImperial | + | | 1_buUK | bushel (UK) | 1_buUK = 8_galUK | Imperial |
- | | 1_pkUK | peck (UK) | 1_pkUK = 1/4_buUKImperial | + | | 1_pkUK | peck (UK) | 1_pkUK = 1/4_buUK | Imperial |
- | | 1_buC | bushel (Canada) | 1_buC = 8_galCCanadian | + | | 1_buC | bushel (Canada) | 1_buC = 8_galC | Canadian |
- | | 1_pkC | peck (Canada) | 1_pkC = 1/4_buCCanadian | + | | 1_pkC | peck (Canada) | 1_pkC = 1/4_buC | Canadian |
- | | 1_yr | tropical year | 1_yr = 31556925.9747_sper | + | |
+ | | **Time** |||| | ||
+ | | Unit | Unit name | Definition | Description | ||
+ | | 1_yr | tropical year | 1_yr = 31556925.9747_s | ||
| 1_d | day | 1_d = 86400_s | SI time | | | 1_d | day | 1_d = 86400_s | SI time | | ||
| 1_h | hour | 1_h = 3600_s | SI time | | | 1_h | hour | 1_h = 3600_s | SI time | | ||
| 1_min | minute | 1_min = 60_s | SI time | | | 1_min | minute | 1_min = 60_s | SI time | | ||
| 1_s | second | 1_s | Base SI unit of time | | | 1_s | second | 1_s | Base SI unit of time | | ||
- | | 1_Hz | Hertz | 1_Hz = 1_1/s | SI frequency | | + | | 1_Hz | hertz | 1_Hz = 1_1/s | SI frequency |
+ | |||
+ | | **Speed** |||| | ||
+ | | Unit | Unit name | Definition | Description | ||
| 1_m/s | metres per second | 1_m/s | Base SI unit of speed | | | 1_m/s | metres per second | 1_m/s | Base SI unit of speed | | ||
- | | 1_cm/s | centimetres per second | 1_cm/s = 0.0| 1_m/s | SI speed | | + | | 1_cm/s | centimetres per second | 1_cm/s = 0.01_m/s | SI speed | |
| 1_ft/s | feet per second | 1_ft/s = 12_in/s | US customary speed | | | 1_ft/s | feet per second | 1_ft/s = 12_in/s | US customary speed | | ||
| 1_kph | kilometres per hour | 1_kph = 1_km/h | SI speed | | | 1_kph | kilometres per hour | 1_kph = 1_km/h | SI speed | | ||
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| 1_r/s | radians per second | 1_r/s | Base SI angular speed | | | 1_r/s | radians per second | 1_r/s | Base SI angular speed | | ||
| 1_rpm | revolutions per minute | 1_rpm = 1_tr/min | non-SI speed | | | 1_rpm | revolutions per minute | 1_rpm = 1_tr/min | non-SI speed | | ||
- | | 1_tr/s | turns per second | 1_tr/s = 2π_r/s | non-SI speed | | + | | 1_tr/s | turns per second | 1_tr/s = 2π_r/s | non-SI speed | |
+ | |||
+ | | **Acceleration** |||| | ||
+ | | Unit | Unit name | Definition | Description | | ||
+ | | 1_m/s%%^%%2 | metre per second squared | 1_m/s%%^%%2 | SI acceleration | | ||
+ | | 1_cm/ | ||
+ | | 1_ft/ | ||
+ | | 1_ga | acceleration of gravity | 1_ga = 9.80665_m/ | ||
+ | | 1_r/s%%^%%2 | radian per second squared | 1_r/s%%^%%2 | SI angular acceleration | | ||
+ | |||
+ | | **Mass** |||| | ||
+ | | Unit | Unit name | Definition | Description | ||
| 1_kg | kilogram | 1_kg | Base SI unit of mass | | | 1_kg | kilogram | 1_kg | Base SI unit of mass | | ||
- | | 1_g | kilogram | + | | 1_g | gram | 1_g = 0.001_kg |
| 1_lb | pound | 1_lb = 7000_grain | US customary mass | | | 1_lb | pound | 1_lb = 7000_grain | US customary mass | | ||
| 1_oz | ounce | 1_oz = 1/16_lb | US customary mass | | | 1_oz | ounce | 1_oz = 1/16_lb | US customary mass | | ||
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| 1_lbt | troy pound | 1_lbt = 5760_grain | US customary mass | | | 1_lbt | troy pound | 1_lbt = 5760_grain | US customary mass | | ||
| 1_ton | tonne | 1_ton = 2000_lb | US customary mass | | | 1_ton | tonne | 1_ton = 2000_lb | US customary mass | | ||
- | | 1_tonUK | tonne (UK) | 1_tonUK = 2240_lbImperial | + | | 1_tonUK | tonne (UK) | 1_tonUK = 2240_lb | Imperial |
| 1_t | metric tonne | 1_t = 1000_kg | non-SI mass | | | 1_t | metric tonne | 1_t = 1000_kg | non-SI mass | | ||
- | | 1_ozt | troy ounce | 1_ozt = 480_grainImperial | + | | 1_ozt | troy ounce | 1_ozt = 480_grain | Imperial |
- | | 1_ct | metric carat | 1_ct = 200_mgMetric | + | | 1_ct | metric carat | 1_ct = 200_mg | Metric |
- | | 1_grain | grain | 1_grain = 64.7989| 1_mgImperial | + | | 1_grain | grain | 1_grain = 64.79891_mg |
| 1_u | unified atomic mass | 1_u = 1.660539040E-27_kg | non-SI mass | | | 1_u | unified atomic mass | 1_u = 1.660539040E-27_kg | non-SI mass | | ||
| 1_mol | mole | 1_mol | Base SI amount of substance | | | 1_mol | mole | 1_mol | Base SI amount of substance | | ||
| 1_gmol | gram mole | 1_gmol = 1_mol | non-SI amount of substance | | | 1_gmol | gram mole | 1_gmol = 1_mol | non-SI amount of substance | | ||
- | | 1_lbmol | pound mole | 1_lbmol = 453.59237_mol | US customary substance | | + | | 1_lbmol | pound mole | 1_lbmol = 453.59237_mol | US customary |
- | | 1_N | Newton | + | |
+ | | **Force** |||| | ||
+ | | Unit | Unit name | Definition | Description | ||
+ | | 1_N | newton | ||
| 1_dyn | dyne | 1_dyn = 1_g*cm/ | | 1_dyn | dyne | 1_dyn = 1_g*cm/ | ||
| 1_gf | gram-force | 1_gf = 1_g*ga | non-SI force | | | 1_gf | gram-force | 1_gf = 1_g*ga | non-SI force | | ||
| 1_kip | kip | 1_kip = 1000_lbf | US customary force | | | 1_kip | kip | 1_kip = 1000_lbf | US customary force | | ||
| 1_lbf | pound-force | 1_lbf = 1_lb*ga | US customary force | | | 1_lbf | pound-force | 1_lbf = 1_lb*ga | US customary force | | ||
- | | 1_pdl | poundal | 1_pdl = = 1_lb*ft/ | + | | 1_pdl | poundal | 1_pdl = 1_lb*ft/ |
- | | 1_J | Joule | 1_J = 1_N*m | SI energy | | + | |
+ | | **Energy** |||| | ||
+ | | Unit | Unit name | Definition | Description | ||
+ | | 1_J | joule | 1_J = 1_N*m | SI energy | | ||
| 1_kW*h | kilowatt-hour | 1_kW*h = 3.6_MJ | non-SI energy | | | 1_kW*h | kilowatt-hour | 1_kW*h = 3.6_MJ | non-SI energy | | ||
| 1_erg | erg | 1_erg = 1_dyn*cm | non-SI energy | | | 1_erg | erg | 1_erg = 1_dyn*cm | non-SI energy | | ||
- | | 1_kcal | kilo calorie | + | | 1_kcal | kilocalorie (thermochemical) |
- | | 1_cal | calorie | 1_cal = 4.184_J | non-SI energy | | + | | 1_cal | calorie |
- | | 1_Btu | british thermal unit | 1_Btu = =1055.056_JImperial | + | | 1_Btu | british thermal unit | 1_Btu = =1055.056_J | Imperial |
| 1_ft*lbf | foot-pound | 1_ft*lbf = 1_lb*ft*ga | US customary energy | | | 1_ft*lbf | foot-pound | 1_ft*lbf = 1_lb*ft*ga | US customary energy | | ||
- | | 1_therm | therm | 1_therm = 100000_BtuImperial | + | | 1_therm | therm | 1_therm = 100000_Btu | Imperial |
- | | 1_MeV | mega electronvolt | + | | 1_MeV | megaelectronvolt |
- | | 1_eV | electronvolt | 1_eV = 1.6021766208E-19_J | non-SI energy | | + | | 1_eV | electronvolt | 1_eV = 1.6021766208E-19_J | non-SI energy |
- | | 1_W | Watt | 1_W = 1_J/s | SI power | | + | |
+ | | **Power** |||| | ||
+ | | Unit | Unit name | Definition | Description | ||
+ | | 1_W | watt | 1_W = 1_J/s | SI power | | ||
| 1_kW | kilowatt | 1_kW = 1000_W | SI power | | | 1_kW | kilowatt | 1_kW = 1000_W | SI power | | ||
| 1_MW | megawatt | 1_MW = 1000000_W | SI power | | | 1_MW | megawatt | 1_MW = 1000000_W | SI power | | ||
- | | 1_hp | mechanical horsepower | 1_hp = 550_ft*lbf/sImperial | + | | 1_hp | mechanical horsepower | 1_hp = 550_ft*lbf/s | Imperial |
- | | 1_lbf*ft/s | pound-foot per second | 1_ft*lbf/sImperial | + | | 1_lbf*ft/s | pound-foot per second | 1_ft*lbf/s | Imperial |
- | | 1_Pa | Pascal | + | |
+ | | **Pressure** |||| | ||
+ | | Unit | Unit name | Definition | Description | ||
+ | | 1_Pa | pascal | ||
| 1_atm | atmospheric pressure | 1_atm = 101325_Pa | non-SI pressure | | | 1_atm | atmospheric pressure | 1_atm = 101325_Pa | non-SI pressure | | ||
| 1_bar | bar | 1_bar = 100000_Pa | non-SI pressure | | | 1_bar | bar | 1_bar = 100000_Pa | non-SI pressure | | ||
- | | 1_p | SI | pound per square inch | 1_p | SI = 1_lbf/ | + | | 1_psi | pound per square inch | 1_psi = 1_lbf/ |
- | | 1_Torr | Torricelli | + | | 1_Torr | torr | 1_Torr = 1/760_atm | non-SI pressure | |
- | | 1_mmHg | millimetres of mercury (at 0°C) | 1_mmHg = 13595.| 1_kg/ | + | | 1_mmHg | millimetres of mercury (at 0°C) | 1_mmHg = 13595.1_kg/ |
- | | 1_inHg | inches of mercury (at 0°C) | 1_inHg = 13595.| 1_kg/ | + | | 1_inHg | inches of mercury (at 0°C) | 1_inHg = 13595.1_kg/ |
- | | 1_inH2O | inches of water (at 4°C) | 1_inH2O = 999.972_kg/ | + | | 1_inH2O | inches of water (at 4°C) | 1_inH2O = 999.972_kg/ |
- | | 1_°C | celsius (or degree | + | |
- | | 1_Δ°C | celsius temperature change | 1_Δ°C=| 1_ΔKchange | + | | **Temperature** |||| |
- | | 1_°F | farenheit (or degree | + | | Unit | Unit name | Definition | Description |
- | | 1_Δ°F | farenheit temperature change | 1_Δ°F=| 1_Δ°Rchange | + | | 1_°C | celsius (or degree |
+ | | 1_Δ°C | celsius temperature change | 1_Δ°C = 1_ΔK | Change | ||
+ | | 1_°F | farenheit (or degree | ||
+ | | 1_Δ°F | farenheit temperature change | 1_Δ°F = 1_Δ°R | Change | ||
| 1_K | kelvin | 1_K | Base SI temperature (abs. scale) | | | 1_K | kelvin | 1_K | Base SI temperature (abs. scale) | | ||
- | | 1_ΔK | kelvin temperature change | 1_ΔKbase change of temperature | | + | | 1_ΔK | kelvin temperature change | 1_ΔK | Base change of temperature | |
- | | 1_°R | rankine | 1_°R = 5/9_KImperial | + | | 1_°R | rankine | 1_°R = 5/9_K | Imperial |
- | | 1_Δ°R | rankine temperature change | 1_Δ°R = 5/9_ΔKchange | + | | 1_Δ°R | rankine temperature change | 1_Δ°R = 5/9_ΔK | Change |
+ | |||
+ | | **Electricity and Magnetism** |||| | ||
+ | | Unit | Unit name | Definition | Description | ||
| 1_V | volt | 1_V = 1_J/C | SI potential difference | | | 1_V | volt | 1_V = 1_J/C | SI potential difference | | ||
| 1_A | ampere | 1_A | Base SI electric current | | | 1_A | ampere | 1_A | Base SI electric current | | ||
Line 143: | Line 268: | ||
| 1_Fdy | faraday | 1_Fdy = 96485.33289_C | non-SI electrical charge | | | 1_Fdy | faraday | 1_Fdy = 96485.33289_C | non-SI electrical charge | | ||
| 1_H | henry | 1_H = 1_Wb/A | SI inductance | | | 1_H | henry | 1_H = 1_Wb/A | SI inductance | | ||
- | | 1_mho | mho (Siemens) | + | | 1_mho | mho | 1_mho = 1_S | non-SI conductance | |
| 1_S | siemens | 1_S = 1_1/Ω | SI conductance | | | 1_S | siemens | 1_S = 1_1/Ω | SI conductance | | ||
| 1_T | tesla | 1_T = 1_Wb/ | | 1_T | tesla | 1_T = 1_Wb/ | ||
- | | 1_Wb | weber | 1_Wb = 1_kg*m%%^%%2/ | + | | 1_Wb | weber | 1_Wb = 1_kg*m%%^%%2/ |
- | | 1_° | degree | 1_° = 2π/360_r | non-SI plane angle | | 1_r | + | |
- | | radian | 1_r | Base SI plane angle | | + | | **Angles** |||| |
+ | | Unit | Unit name | Definition | Description | ||
+ | | 1_° | degree | 1_° = 2π/360_r | non-SI plane angle | | ||
+ | | 1_r | radian | 1_r | Base SI plane angle | | ||
| 1_grad | grad (gon) | 1_grad = 2π/400_r | non-SI plane angle | | | 1_grad | grad (gon) | 1_grad = 2π/400_r | non-SI plane angle | | ||
| 1_tr | full turn (one revolution) | 1_tr = 2π_r | non-SI plane angle | | | 1_tr | full turn (one revolution) | 1_tr = 2π_r | non-SI plane angle | | ||
Line 154: | Line 282: | ||
| 1_arcs | arc second | 1_arcmin = 1/3600_° | non-SI plane angle | | | 1_arcs | arc second | 1_arcmin = 1/3600_° | non-SI plane angle | | ||
| 1_sr | steradian | 1_sr | Base SI solid angle | | | 1_sr | steradian | 1_sr | Base SI solid angle | | ||
+ | |||
+ | | **Light** |||| | ||
+ | | Unit | Unit name | Definition | Description | | ||
| 1_fc | foot-candle | 1_fc = 1_lm/ | | 1_fc | foot-candle | 1_fc = 1_lm/ | ||
| 1_flam | footlambert | 1_flam = 1/ | | 1_flam | footlambert | 1_flam = 1/ | ||
Line 161: | Line 292: | ||
| 1_lm | lumen | 1_lm = 1_cd*sr | SI luminous flux | | | 1_lm | lumen | 1_lm = 1_cd*sr | SI luminous flux | | ||
| 1_cd | candela | 1_cd | Base SI luminous intensity | | | 1_cd | candela | 1_cd | Base SI luminous intensity | | ||
- | | 1_lam | lambert | 1_lam = 10000/ | + | | 1_lam | lambert | 1_lam = 10000/ |
+ | |||
+ | | **Radiation** |||| | ||
+ | | Unit | Unit name | Definition | Description | ||
| 1_Gy | gray | 1_Gy = 1_J/kg | SI radiation | | | 1_Gy | gray | 1_Gy = 1_J/kg | SI radiation | | ||
- | | 1_rad | rad | 1_rad = 0.0| 1_Gy | non-SI radiation | | + | | 1_rad | rad | 1_rad = 0.01_Gy | non-SI radiation | |
| 1_rem | roentgen equivalent man | 1_rem = 1_erg/g | SI radiation | | | 1_rem | roentgen equivalent man | 1_rem = 1_erg/g | SI radiation | | ||
| 1_Bq | becquerel | 1_Bq = 1_1/s | SI radiation | | | 1_Bq | becquerel | 1_Bq = 1_1/s | SI radiation | | ||
| 1_Ci | curie | 1_Ci = 3.7E10_Bq | non-SI radiation | | | 1_Ci | curie | 1_Ci = 3.7E10_Bq | non-SI radiation | | ||
- | | 1_R | rontgen | + | | 1_R | roentgen |
- | | 1_P | poise | 1_P = 0.0| 1_Pa*s | non-SI dynamic viscosity | | + | |
- | | 1_St | stokes | 1_St = 0.000| 1_m%%^%%2/s | non-SI kinematic viscosity | | + | | **Viscosity** |||| |
+ | | Unit | Unit name | Definition | Description | ||
+ | | 1_P | poise | 1_P = 0.01_Pa*s | non-SI dynamic viscosity | | ||
+ | | 1_St | stokes | 1_St = 0.0001_m%%^%%2/s | non-SI kinematic viscosity | | ||
| 1_m%%^%%2/s | square metre per second | 1_m%%^%%2/s | SI kinematic viscosity | | | 1_m%%^%%2/s | square metre per second | 1_m%%^%%2/s | SI kinematic viscosity | | ||
- | | 1_kg/(m*s) | kilogram per metre per second | 1_kg/(m*s) = 1_Pa*s | SI dynamic viscosity | | + | | 1_kg/(m*s) | kilogram per metre per second | 1_kg/(m*s) = 1_Pa*s | SI dynamic viscosity | |
- | | 1_m/s%%^%%2 | metre per second squared | 1_m/s%%^%%2 | SI acceleration | | + | |
- | | 1_cm/ | + | |
- | | 1_ft/ | + | |
- | | 1_ga | acceleration of gravity | 1_ga = 9.80665_m/ | + | |
- | | 1_r/s%%^%%2 | radian per second squared | 1_r/s%%^%%2 | SI angular acceleration | | + | |