Unit Conversion and Dimensional Analysis

Dimensional Analysis

2. To check for consistency in an equation.

   The unit for force is the Newton

   N or kg*m/s²

   The formula for force is F=ma

   The unit for mass (m) is kg

   The unit for acceleration (a) is m/s²

   So the units check out!

1. Conversion from one unit to the other.

​

1 meter = ​3.28 feet

1 meter = 100 centimeters​

Dimensional analysis is used for two important things:​

Dimensional Analysis

Conversions

​34.5 meters to kilometers

0.0345 km

Conversions

95.7 kg to g

​95700 g

Conversion

12.4 km/hr to m/s​

​3.4 m/s

Multiple Choice

Convert 4.2 seconds to hours

• 0.00117 hours

• 252.0 hours

• 0.05 hours

• 1.2 hours

Multiple Choice

Convert 354 grams to kg

• 0.354 kg

• 3.54 kg

• 35400 kg

• 3540 kg

Multiple Choice

Convert 26.2 m/s to km/hr

• 94.32 km/hr

• 3.41 km/hr

• 2.64 km/hr

• 0.98 km/hr