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How To Become A Dimensional Analysis Wizard

A Brief Presenation about Dimensional Analysis

Lacey Peace

on 13 November 2012

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Transcript of How To Become A Dimensional Analysis Wizard

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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