Unit Conversion and Dimensional Analysis

The video tutorial covers the concept of unit rates and dimensional analysis, explaining how to convert unit rates using unit ratios. It provides examples and practice problems, such as converting feet per second to inches per second and miles per hour to feet per hour. The tutorial emphasizes the importance of including units in computations and demonstrates the process of cross-canceling units to simplify conversions.

What is a unit rate?

• A rate that is simplified so that it has a denominator of one

• A rate that compares two different units

• A rate that is used only in metric conversions

• A rate that is always greater than one

What is dimensional analysis?

• The process of measuring dimensions of objects

• The process of converting units to decimals

• The process of including units of measurement when you compute

• The process of simplifying fractions

Which of the following is a correct unit ratio?

• 16 oz / 1 lb

• All of the above

• 100 cm / 1 m

• 12 in / 1 ft

How many feet are in a mile?

• 10,000 ft

• 3,280 ft

• 1,000 ft

• 5,280 ft

What is the first step in converting 10 feet per second to inches per second?

• Divide by 12

• Convert feet to meters

• Write the speed as a unit ratio

• Multiply by 12

In the conversion of 10 feet per second to inches per second, what unit ratio is used?

• 12 in / 1 ft

• 10 ft / 1 in

• 1 in / 12 ft

• 1 ft / 12 in

What is the final result of converting 10 feet per second to inches per second?

• 100 in/second

• 200 in/second

• 120 in/second

• 150 in/second

How many feet per hour is equivalent to 60 miles per hour?

• 316,800 ft/hour

• 31,680 ft/hour

• 528,000 ft/hour

• 600,000 ft/hour

What intermediate units are used to convert 7 feet per second to feet per hour?

• Minutes and hours

• Minutes and days

• Seconds and minutes

• Hours and days

What is the final result of converting 7 feet per second to feet per hour?

• 40,000 ft/hour

• 30,000 ft/hour

• 25,200 ft/hour

• 35,000 ft/hour