Practice: Dimensional Analysis

Front

What is dimensional analysis?

Back

Dimensional analysis is a mathematical technique used to convert one set of units to another, ensuring that the equations remain consistent and valid.

Front

How do you convert meters per second (m/s) to kilometers per hour (km/hr)?

Back

To convert m/s to km/hr, multiply the speed by 3.6 (1 m/s = 3.6 km/hr).

Front

How many seconds are in one day?

Back

There are 86,400 seconds in one day (24 hours x 60 minutes x 60 seconds).

Front

What is the formula to calculate the total number of pages in a set of books?

Back

Total pages = Number of books x Chapters per book x Pages per chapter.

Front

How do you convert inches to feet?

Back

To convert inches to feet, divide the number of inches by 12 (1 foot = 12 inches).

Front

How do you convert miles to feet?

Back

To convert miles to feet, multiply the number of miles by 5280 (1 mile = 5280 feet).

Front

What is the formula for calculating the volume of a rectangular prism?

Back

Volume = Length x Width x Height.

Front

How do you convert feet to meters?

Back

To convert feet to meters, divide the number of feet by 3.28 (1 meter = 3.28 feet).

Front

What is the significance of significant figures in calculations?

Back

Significant figures indicate the precision of a measurement and should be maintained throughout calculations.

Front

What is the relationship between volume and unit conversion?

Back

When converting volume, all dimensions must be converted to the same unit before applying the volume formula.