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Convert to Base Metric Units |
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From |
Result |
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foot |
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83 deg-F |
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(6 * 18) mile^2 |
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70.4 kg + 115 lb |
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-16.2 + sqrt(16.2^2 - 4 * 3.1 * 0.7) |
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(5 qt + 2 gal)/ 4.751 seconds |
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pi (4.7 cm)^2 sin(41 deg) |
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50 meters * 25 meters * 10 ft |
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(2000 V/m) * 35 cm * 2 elementary-charges |
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The results are returned in the base units of the modern metric system called the International System of Units (or SI units). The base units are meter (length), kilogram (mass), second (time), kelvin (temperature), ampere (electric-current), mole (amount-of-substance), and candela (luminous-intensity). Although they are dimensionless derived units, this tool also reports radians (plane-angle) and steradians (solid-angle) for clarity.
Enter the units or the mathematical expression with units that you want to convert. This can be as simple as a unit name or as complex as a formula involving additions, subtractions, multiplications, divisions, powers, square roots, and scientific functions (sin, cos, tan, arcsin, arccos, arctan, sinh, cosh, tanh, log, ln, and exp). The expression entry is very flexible; try typing an expression as you would normally write it.
As part of the results, the interpretation of your expression is shown in order to verify that it matches what you intended. Wherever you see a unit or constant in the results, click on it to read a description of it. This helps verify that the correct unit or constant was used in the calculation.
Many units, such as the "foot" or "gallon", have multiple variations and the result will change based on the variation you pick. A note is provided in the results when you use units that have variations.
Below are some important expression features:
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Expression Features |
Examples |
Meaning of Examples |
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Common abbreviations are allowed (see the |
ft |
foot |
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Standard metric power prefixes are allowed |
millisecond |
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Scientific notation is allowed |
4.2e-3 |
0.0042 |
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"*" or a space between expressions represents the multiply operator. However, if the expressions are simple and have the same dimensions, a space is treated as an addition (as is common with written expressions). |
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"^" represents the power operator |
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"sqrt" represents the square root function |
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"sin", "cos", "tan", "arcsin", "arccos", "arctan", "sinh", "cosh", "tanh", "log", "ln", and "exp" represent their respective scientific functions. A trig function argument without units is considered to be in radians but you can also use units like "deg" with function arguments. |
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Modifiers "square", "sq", "squared", "cubic", "cu", "cubed", and "reciprocal" have their normal meaning |
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In general, a "-" connecting names is treated the same as a space. If you need a subtraction operator or negative sign, put at least one space around the "-". |
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Sometimes a "-" is required to distinguish a unit name from an expression with the same words. |
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