Dimensional Analysis

Front

What is dimensional analysis?

Back

Dimensional analysis is a mathematical technique used to convert units from one system to another, ensuring that equations are dimensionally consistent.

Front

What is a conversion factor?

Back

A conversion factor is a numerical factor used to multiply or divide a quantity when converting from one unit to another.

Front

How many grams are in 1 kilogram?

Back

1 kilogram = 1000 grams.

Front

How many pounds are in 1 kilogram?

Back

1 kilogram ≈ 2.20462 pounds.

Front

Convert 60 inches to feet using the conversion factor 12 inches = 1 foot.

Back

60 inches = 5 feet.

Front

Convert 2.5 grams to milligrams using the conversion factor 1000 mg = 1 g.

Back

2.5 grams = 2500 mg.

Front

If 1 pound = 454 grams, how many kilograms are in 173 pounds?

Back

173 pounds = 78.5 kg.

Front

What is the purpose of dimensional analysis in problem-solving?

Back

Dimensional analysis helps verify the correctness of equations and ensures that the units are consistent throughout calculations.

Front

How do you set up a dimensional analysis problem?

Back

Identify the given quantity, determine the desired unit, and use conversion factors to create a chain of equalities.

Front

What is the relationship between inches and feet?

Back

12 inches = 1 foot.