Dimensional Analysis and Unit Conversion

This video tutorial on dimensional analysis for AP Physics covers the basic steps of unit conversion. It includes three examples: converting dollars to dimes, hours to seconds, and megaseconds to picoseconds. The video emphasizes the importance of setting up conversion tables correctly and provides tips for handling complex conversions using scientific notation.

What is the first step in dimensional analysis according to the video?

• Draw the dimensional analysis table

• Start with the given measurement

• Cancel out the units

• Multiply across the top row

In the example of converting dollars to dimes, what unit is placed in both the numerator and denominator to cancel out?

• Dollars

• Dimes

• Cents

• Quarters

How many dimes are there in ten dollars?

• 150

• 50

• 100

• 200

When converting hours to seconds, which intermediate unit is used?

• Milliseconds

• Minutes

• Weeks

• Days

How many seconds are there in 24 hours?

• 100,000

• 90,000

• 72,000

• 86,400

What is the base unit used when converting mega seconds to picoseconds?

• Milliseconds

• Seconds

• Nanoseconds

• Microseconds

What is the scientific notation for one mega second in terms of seconds?

• 1 x 10^12

• 1 x 10^9

• 1 x 10^6

• 1 x 10^3

How many picoseconds are there in one mega second?

• 1 x 10^15

• 1 x 10^18

• 1 x 10^12

• 1 x 10^9

What mathematical operation is used to handle exponents when dividing in dimensional analysis?

• Addition

• Subtraction

• Multiplication

• Division

What should you do if you encounter difficulties with dimensional analysis?

• Skip the problem

• Rewatch the video for basic steps

• Ask a friend for help

• Use a calculator