Formulas and unit analysis

Rearrange the formula for the unknown before substituting, and cancel units through the working to check the answer.

A worked example

A road rising 3 m over 60 m of run has a grade of 3/60 = 0.05, or 5%. And 72 km/h x 1 000 m/km ÷ 3 600 s/h = 20 m/s.

The mistake people actually make

Percent grade is rise divided by horizontal run, not by the sloped length. In I = Prt the time is in years and the rate goes in as a decimal.

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