Unit Conversion and Dimensional Analysis

This video tutorial teaches how to solve problems involving different units using dimensional analysis. It emphasizes the importance of units in calculations and provides a step-by-step guide to converting units, such as converting inches to feet and miles per hour to feet per second. The tutorial concludes with a real-world application, calculating the time it takes for a 90 mph fastball to reach home plate.

Why is it necessary to convert units when solving the problem of a 90 mph fastball?

• Because the distance is given in miles.

• Because the speed is given in kilometers per hour.

• Because the distance is given in feet.

• Because the speed is given in meters per second.

What is a common mistake students make when converting units?

• Using the wrong conversion ratio.

• Using dimensional analysis.

• Memorizing when to multiply and divide.

• Ignoring the units altogether.

What is the first step in dimensional analysis?

• Multiplying the numbers.

• Setting up the units.

• Cancelling the original units.

• Writing the conversion ratio.

How many feet are in 102 inches?

• 8.5 feet

• 10.2 feet

• 12 feet

• 9.5 feet

What is the conversion factor from miles to feet?

• 1 mile = 1000 feet

• 1 mile = 5000 feet

• 1 mile = 6000 feet

• 1 mile = 5280 feet

How many seconds are there in an hour?

• 3000 seconds

• 3600 seconds

• 3200 seconds

• 4000 seconds

What is the speed of 90 mph in feet per second?

• 120 feet per second

• 132 feet per second

• 140 feet per second

• 150 feet per second

What is the distance from the pitcher's mound to home plate in feet?

• 60 feet

• 60.5 feet

• 61 feet

• 62 feet

How long does it take for a 90 mph fastball to reach home plate?

• 0.4 seconds

• 0.5 seconds

• 0.46 seconds

• 0.6 seconds

What is the main benefit of using dimensional analysis?

• It provides exact answers.

• It eliminates unit confusion.

• It simplifies calculations.

• It speeds up problem-solving.