Unit Analysis
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Definition
A problem-solving technique that verifies equations and performs conversions by treating units as algebraic quantities that multiply, divide, and cancel.
Explanation
To convert 60 miles per hour to meters per second: 60 mi/h × 1609.344 m/mi × 1 h/3600 s = 26.82 m/s. The miles and hours cancel algebraically, leaving m/s. Unit analysis also catches errors: if a force equation yields kg·m/s instead of kg·m/s², a factor of time is missing.
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RELATED TERMS
Conversion Factor
A numerical multiplier used to convert a quantity from one unit to another.
Precision
The degree of refinement in a measurement, indicated by the number of significant digits.
Accuracy
How close a measurement is to the true value of the quantity being measured.
Dimensional Analysis
A method of converting units by multiplying by conversion factors that equal 1.
Nautical Mile
A unit of distance used in sea and air navigation, equal to 1,852 meters.