Unit Factor Converting Method

Reference data and engineering information about unit factor converting method for basics applications.

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Overview

Engineering reference data for Unit Factor Converting Method in basics.

$V = IR$

Voltage = Current × Resistance.

$F = ma$

Force = mass × acceleration.

$E_{in} = E_{out} + \Delta E_{stored}$

Energy balance.

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Source: engineeringtoolbox.com

The factor-label method allows chaining multiple conversion factors. The general formula for sequential conversions is:

\frac{a \, (\text{u1})}{1} \cdot \frac{y \, (\text{u2})}{x \, (\text{u2})} \cdot \frac{z \, (\text{u3})}{y \, (\text{u3})} \cdot \frac{1}{z \, (\text{u4})} = \frac{a \cdot y \cdot z}{x \cdot z} \, (\text{u4})

Simplifying the unit factor for converting feet to millimeters (mm/ft) using eq. (4):

\frac{25.4 \, \text{mm}}{1 \, \text{in}} \cdot \frac{12 \, \text{in}}{1 \, \text{ft}} = 304.8 \, \frac{\text{mm}}{\text{ft}}

Applying this unit factor to convert a length value:

304.8 \, \frac{\text{mm}}{\text{ft}} \cdot b \, (\text{ft}) = b \cdot 304.8 \, (\text{mm})

Unit Factor: A ratio equal to 1 that expresses the relationship between two different units (e.g., $\frac{25.4 \, \text{mm}}{1 \, \text{in}} = 1$ ). It is derived by dividing both sides of a fundamental unit equivalence.
Factor-Label Method: A systematic process for unit conversion that involves multiplying the original quantity by a sequence of unit factors. Units are treated algebraically, allowing unwanted dimensions to cancel out, leaving only the desired final unit.