MEASUREMENT
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Transcript of MEASUREMENT
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UNIT CONVERSIONS
MEASUREMENT
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3
3
cm
gcm
Dimensional Analysis
The “Factor-Label” Method Units, or “labels” are canceled, or “factored” out
g
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Dimensional Analysis
Steps:1. Identify starting & ending units.
2. Line up conversion factors so units cancel.
3. Multiply all top numbers & divide by each bottom number.
4. Check units & answer.
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Dimensional Analysis
Lining up conversion factors:
1 in = 2.54 cm
2.54 cm 2.54 cm
1 in = 2.54 cm
1 in 1 in
= 1
1 =
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Dimensional Analysis
How many milliliters are in 1.00 quart of milk?
1.00 qt 1 L
1.057 qt= 946 mL
qt mL
1000 mL
1 L
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Dimensional Analysis
You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3.
lb cm3
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Dimensional Analysis
How many liters of water would fill a container that measures 75.0 in3?
=
in3 L
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B. Dimensional Analysis
5) Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off?
cm in
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Dimensional Analysis
6) Hammonton football needs 550 cm for a 1st down. How many yards is this?
cm yd
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Dimensional Analysis
7) A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire?
m pieces
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Dimensional Analysis
8) The speed limit on my street is 35 mph, what is that equivalent to in m/s ?
mi/hr m/s
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Dimensional Analysis
9) The Density of Copper is 8.9g/cm3. What is its density in lb/ft3 ?
g/cm3 lb/ft3
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Percent Error
Indicates accuracy of a measurement
100literature
literaturealexperimenterror %
your value
accepted value
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Percent Error
A student determines the density of a substance to be 1.40 g/mL. Find the % error if the accepted value of the density is 1.36 g/mL.
100g/mL 1.36
g/mL 1.36g/mL 1.40error %
% error =
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Proportions
Direct Proportion
Inverse Proportion
xy
xy
1
y
x
y
x