Dimensional analysis.ppt
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Transcript of Dimensional analysis.ppt
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A N D M E T R I C S
DIMENSIONAL ANALYSIS
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THIS IS HOW I FEEL WHEN I HEAR “DIMENSIONAL ANALYSIS”
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SO JUST TELL ME WHAT TO DO!
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1. KEEP THIS INFORMATION HANDY
Three bases: Meter,Liter, Gram Add in a prefix:
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2. GIVE ME JUST ONE REASON!
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MORE TO THE POINT:
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BUT:
Prefixes save1. Work2. Energy3. Time
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REMEMBER THE PREFIXES?
We use them like this:
How? How?We need a relationship!
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This is One wayBut anotherusefulWay is On the Next slide.
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EXAMPLES OF CONVERSIONS AND DIMENSIONAL ANALYSIS
• 1. look at units and see if you can cancel all the ones on the top and bottom:
cl ml mg Mm km mi ml mm N
km mi mm km kg cl ml ml mg
2. Use your prefix chart to put numbers in front of theseUnits.
17 km x ______m x _______cm = __?___ km m Cancel out units until you cannot cancel anymore. Multiply across the top and divide by the bottom.
What isLeft?
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TRY AND TRY AND TRY!
56 Mm x _____m x ______Gm = ______ Mm m
35 m x _____km x ______s = ______ s m hr
Put in the numbers and solve:
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ITS POSSIBLE I CAN GET THIS!
Set up one by yourself:
2345.5 km = ? cm
1. Write the left side2. put an x and a line3. Put the unit you start withOn The bottom. Keep going.Cancel. Multiply. Divide.
2345.5 km x ___ m_
kmx ____cm m
103
1
1
10-2= 2.3455 x 108 cm