Converting Units Using Dimensional Analysis

The video tutorial explains how to convert units using dimensional analysis. It emphasizes the importance of units in problem-solving and introduces key components of dimensional analysis, such as unit setup and conversion ratios. The tutorial provides examples of converting inches to feet and miles per hour to feet per second. It concludes by solving a real-world problem involving a 90 mph fastball, demonstrating the application of dimensional analysis in calculating the time it takes for the pitch to reach home plate.

Describe the importance of units in mathematical problems.

Explain the process of dimensional analysis.

How do you convert 102 inches to feet?

How many feet per second is equivalent to 90 miles per hour?

What is the conversion ratio for miles to feet?

What is the time it takes for a 90 mile per hour fastball to reach home plate?

What is the distance between the pitcher's mound and home plate in feet?