How to Become A Dimensional Analysis Wizard By Lacey Peace What is Dimensional Analysis? The Steps The Basics Example 2: Convert 4cm to inches Congratulations!!! Basically, it is a way of converting measurements

An useful tool used by many scientists to convert a measurement in one unit to a different unit

The problem, "Convert 40 ft to cm," can be solved by using Dimensional Analysis First, find your conversion factor

Second, set your equation up so that the unwanted units cancel out and only the wanted units remains

Thirdly, solve the equation

Lastly, apply the sig figs rule

Here is a sample to help explain To convert one unit to another, a conversion factor will often be given

A conversion factor is something that tells you how much of one unit is in another (for example: there are 5, 280 ft in 1 mile)

Set the problems up so that units cancel out Problems are often more complicated than what is shown in Sample A and Example 1. Convert 2 miles to in 4cm

1 You Are Now A Dimensional Analysis Wizard!!! Sample A: Convert 3mL to L Sample A: Convert 3mL to L 3mL

1 1L

1000 mL Sample A: Convert 3mL to L The mLs cancel out 3

1 1 L

1000 3L

1000 = Don't Forget Sig Figs! Sample A: Convert 3mL to L Final Answer:

0.003 L : 0.003 The original problem has one sig fig so the answer should only have one. Calculated

Answer Do this one by yourself: Convert 4cm to inches

Conversion Factors: 1inch = 2.54 cm Conversion Factors:

1,000 mL = 1 L 1 in

2.54 cm 4in

2.54 = = Remember Sig Figs Answer: Click to go to the next frame and see the answer 1.5748031496063 Final Answer:

=2 Example # 1 Sample B will demonstrate this You may need to use more than one conversion factor to convert the units Sometimes units will be placed in both the numerator and the denominator Sample C will demonstrate this If you don't understand how we got this answer, DON'T MOVE ON! You will only get more confused. Go back and look over the Basics, Steps, and Sample A slides. If you still don't understand contact me for additional help. You are left with: Convert 4ft to cm Conversion Factors:

2.54 cm = 1 in

12 in = 1ft Sample B: Example 2: Convert 2 miles to in Conversion Factors:

1 mile = 5,280 ft

1 ft = 12 in Click to see answer on next frame Do this example: Sample C: Convert 1 mile per sec. to feet per minute Conversion Factors:

1 mile = 5,280 ft

60 sec = 1 minute Example 3: Example 3: Example 4: Example 4: Sample B: Convert 4ft to cm 4ft

1 12in

1ft 2.54cm

1in You are left with: 121.92 cm

1 The unwanted units are canceled out Sample B: Convert 4ft to cm 121.92 cm

1 = 121.92 cm With Sig Figs: = 100 cm 2 miles

1 5,280 ft

1 mile 12in

1ft = 126,720 in With Sig Figs: = 100,000 in Sample C: Convert 1 mile/sec to ft/min 1mile

Sec 5,280 ft

1mile 60 sec

1 min = 316,800ft

1 min You are left with: Sample C: Convert 1mile/sec to ft/min 316,800ft

1 min = 316,800 ft/min With Sig Figs: = 300,000 ft/min Click to see answer on next frame Do this example by yourself: Convert 2ft/hour to in/min Conversion Factors:

1ft = 12 in

1 hour = 60 min 2ft

hour Convert 2ft/hour to in/min 12in

1ft 1 hour

60 min 24in 60min = 0.4in

min = = 0.4in/min With Sig Figs: This example combines everything you learned. Try it. Click to see answer on next frame Convert 7 ft/hour to cm/sec Conversion Factors:

1ft = 12in

1in = 2.54cm

1hour = 60 min

1 min = 60 sec

Convert 7ft/hour to cm/sec 7ft

hour 12in

1ft 2.54cm

1in 1 hour

60 min 1 min

60 sec = 213.36cm

3600 sec = .0592666 cm

sec With Sig Figs: = .06cm/sec If you got the last example correct or fully understand where you made your mistake, you are worthy of moving on to the next slide. If not, stop here and review this show once more. Contact me for additional help.

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# How To Become A Dimensional Analysis Wizard

A Brief Presenation about Dimensional Analysis

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