Unit Conversion and Dimensional Analysis

Vocabulary flashcards covering unit conversion concepts, dimensional analysis methods, and specific lecture examples.

Dimensional Analysis

A versatile and powerful problem solving technique used to convert between units, also known as the factor label method or unit factor method.

Factor Label Method

An alternative name for dimensional analysis used to convert between different units of measurement.

Unit Factor Method

Another name for the dimensional analysis technique used in unit conversions.

Conversion Factor

An equality between two units, such as $1\,\text{kilogram} = 2.2\,\text{pounds}$, used to construct fractions for unit conversion.

First Step of Unit Conversion

Writing down the starting quantity given in the question along with its specific units before applying conversion fractions.

Conversion Factor Fraction

A fraction constructed from a conversion factor that equals $1$, used to multiply an initial quantity to change its units without changing its value.

Unit Cancellation Rule

The practice of placing the starting unit in the denominator of the conversion factor fraction so that identical units cancel out.

Kilogram to Pound Conversion Factor

The conversion ratio where $1\,\text{kilogram} = 2.2\,\text{pounds}$.

Pound to Ton Conversion Factor

The conversion ratio where $2,000\,\text{pounds} = 1\,\text{ton}$.

Calculation Rule for Conversion Fractions

The operational rule to multiply by the conversion factor number if the number $1$ is on the bottom of the fraction, and to divide if the number $1$ is on top.

Weightlifter Problem

A sample problem where $495\,\text{pounds}$ is divided by $2.2$ to obtain a final converted mass of $225\,\text{kilograms}$.

Car Mass Problem

A sample problem where $1920\,\text{kilograms}$ is multiplied by $2.2\,\text{pounds}$ and divided by $2,000\,\text{pounds}$ to calculate a final value of $2.11\,\text{tons}$.

Ketzbook.com

The website mentioned in the conclusion of the lecture for further content.