version 1.1, 2003/01/24 22:32:08
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version 1.5, 2006/11/20 20:38:08
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\section*{Physical Units Accepted by LON-CAPA} |
\section*{Physical Units Accepted by LON-CAPA} |
The following subsections show the physical units that LON-CAPA accepts. |
The following subsections show the physical units that LON-CAPA accepts. |
The symbols must be used when entering the units, for example {}``35 kg''. |
The symbols must be used when entering the units, for example {}``35 kg''. |
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Note that compound units are formed by using *, / and ^. For example, an acceleration might |
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be in terms of ``m/s^2'' or meters per second squared. This could also be expressed as``m/s/s''. |
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Units of Newton-meters (for torque) would be entered as ``N*m''. Parentheses may be used to guarantee |
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the correct sense of the unit. Kilometers per Ampere-hour could be written as ``km/(A*hr)'' or |
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``km/A/hr'' but not ``km/A*hr''. The last option would be interpreted as kilometer times hours per Ampere. |
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LON-CAPA will automatically perform some conversions between units of the same dimension |
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when units are provided for a problem. |
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You can provide an answer of ``1.45 km'' for a distance. |
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If the computer expects the answer in cm, it will convert your answer before comparing |
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against the numerical solution. |
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Please note that if your units are inappropriate, the computer has no way of checking |
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the appropriateness of your answer. If units are required, only once appropriate |
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units are provided will the system check your numerical answer. |
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\subsection*{Base Units} |
\subsection*{Base Units} |
\begin{verbatim} |
\begin{verbatim} |
# name symbol comment |
# name symbol comment |
Line 13 ampere A # electric curren
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Line 30 ampere A # electric curren
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kelvin K # thermodynamic temperature |
kelvin K # thermodynamic temperature |
mole mol # amount of substance |
mole mol # amount of substance |
candela cd # luminous intensity |
candela cd # luminous intensity |
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decibel dB # log of pressure amplitude |
\end{verbatim} |
\end{verbatim} |
\subsection*{Prefixes} |
\subsection*{Prefixes} |
\begin{verbatim} |
\begin{verbatim} |
Line 27 giga G 10^9
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Line 45 giga G 10^9
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mega M 10^6 |
mega M 10^6 |
kilo k 10^3 |
kilo k 10^3 |
hecto h 10^2 |
hecto h 10^2 |
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deca D 10^1 |
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deci d 10^-1 |
deci d 10^-1 |
centi c 10^-2 |
centi c 10^-2 |
Line 45 yocto y 10^{-24}
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Line 64 yocto y 10^{-24}
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# name symbol comment |
# name symbol comment |
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gram g # mass |
gram g # mass |
hour hr # time |
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minute min # time |
minute min # time |
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hour hr # time |
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hour h # time |
day day # time |
day day # time |
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day days # time |
year yr # time |
year yr # time |
pound lb # mass |
pound lb # mass |
ounce oz # mass |
ounce oz # mass |
Line 79 ohm ohm # electric resist
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Line 100 ohm ohm # electric resist
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ohm ohms # electric resistance |
ohm ohms # electric resistance |
ohm Ohm # electric resistance |
ohm Ohm # electric resistance |
ohm Ohms # electric resistance |
ohm Ohms # electric resistance |
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mho mho # electric conductance |
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mho mhos # electric conductance |
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mho Mho # electric conductance |
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mho Mhos # electric conductance |
siemens S # electric conductance |
siemens S # electric conductance |
farad F # electric capacitance |
farad F # electric capacitance |
tesla T # magnetic flux density |
tesla T # magnetic flux density |
Line 90 steradian sr # solid angle
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Line 115 steradian sr # solid angle
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lumen lm # luminous flux |
lumen lm # luminous flux |
lux lx # illuminance |
lux lx # illuminance |
becquerel Bq # activity (radioactive) |
becquerel Bq # activity (radioactive) |
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curie Ci # activity (radioactive) |
gray Gy # absorbed dose (of radiation) |
gray Gy # absorbed dose (of radiation) |
sievert Sv # dose equivalent (dose equivalent index) |
sievert Sv # dose equivalent (dose equivalent index) |
astroUnit AU # mean distance earth to sun |
astroUnit AU # mean distance earth to sun |
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celcius degC # multiplicatively OK |
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farenheight degF # multiplicatively OK |
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molarity M # chemisty |
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amu amu # atomic mass unit |
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amu u # atomic mass unit |
\end{verbatim} |
\end{verbatim} |
\subsection*{Interpretation} |
\subsection*{Interpretation} |
The coded units are interpreted in the order of basic unit, |
The coded units are interpreted in the order of basic unit, |