Math and Measurement for Engineers

Manual: General · Subject: Engineering Fundamentals

Build the basic math, units, and measurement skills used in engineering work.

Why measurement matters

Units are essential

Engineering calculations only make sense when values have units. Common metric units include meters $\left(\text{m}\right)$ for length, kilograms $\left(\text{kg}\right)$ for mass, and seconds $\left(\text{s}\right)$ for time.

Common SI units

Quantity	SI unit
Length	meter $\left(\text{m}\right)$
Mass	kilogram $\left(\text{kg}\right)$
Time	second $\left(\text{s}\right)$
Force	newton $\left(\text{N}\right)$
Energy	joule $\left(\text{J}\right)$

Useful formulas

A few basic formulas appear constantly in engineering. For example, speed is $v = \frac{d}{t}$ , area of a rectangle is $A = lw$ , and volume of a box is $V = lwh$ .

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Dimensional checking

A powerful habit is to check that the units on both sides of an equation match. If the units do not match, the equation is likely wrong.

What does the symbol $v = \frac{d}{t}$ represent?

Voltage Velocity or speed Volume Viscosity

Which unit is used for force?

Meter Newton Joule Watt

What is the SI unit of time?

Why is unit checking useful?

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Math and Measurement for Engineers

Why measurement matters

Units are essential

Useful formulas