Converting Units: A Dimensional Analysis Challenge

The video tutorial focuses on dimensional analysis, demonstrating how to convert units through examples. It begins with calculating the number of seconds in a year by converting years to days, days to hours, hours to minutes, and minutes to seconds. Next, it explains converting speed from feet per second to miles per hour using unit conversion. Finally, it addresses a ratio problem, converting the number of boys to girls in a classroom using a given ratio. The tutorial emphasizes the importance of setting up units to cancel out, leaving the desired unit.

What is the first step in dimensional analysis?

• Start with what you are given

• Convert the final unit to the initial unit

• Divide the units by each other

• Multiply all the units together

How many days are assumed in a year for simplicity in the video?

• 365

• 364

• 366

• 365.25

How many hours are there in a day?

• 48

• 24

• 12

• 36

What is the final unit left after converting years to seconds?

• Minutes

• Seconds

• Hours

• Days

How many feet are there in a mile?

• 5280

• 5000

• 5300

• 5200

What is the speed of 30 feet per second in miles per hour?

• 25.34

• 20.45

• 18.90

• 15.67

Which of the following is NOT a step in converting feet per second to miles per hour?

• Convert feet to miles

• Convert seconds to minutes

• Convert minutes to hours

• Convert miles to kilometers

What is the ratio of boys to girls in the classroom problem?

• 2 to 3

• 3 to 4

• 4 to 5

• 5 to 6

If there are 36 boys, how many girls are there in the classroom?

• 48

• 45

• 42

• 40

What is the purpose of dimensional analysis?

• To calculate areas and volumes

• To measure physical quantities

• To convert units and solve ratio problems

• To solve algebraic equations