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SYSTEMS OF MEASUREMENT
Why do we need a standardized system of measurement?
Scientific community is global.
An international “language” of measurement allows scientists to share, interpret, and compare experimental findings with other scientists, regardless of nationality or language barriers.
Problems with the “English” system of measurement
The first standardized system of measurement: the “Metric” system
Developed in France in 1791 Named based on French word
for “measure” based on the decimal (powers
of 10)
International System of Units
Modernized version of the Metric System
Abbreviated by the letters SI. Established in 1960, at the 11th
General Conference on Weights and Measures.
Units, definitions, and symbols
METRIC SYSTEM & SI
COMPONENTS OF THE SI SYSTEM
The SI system of measurement has 3 parts:
1) base units
2) derived units
3) prefixesBase Unit: measure of the quantity that is defined to
be exactly 1
Prefix: modifier that allows us to express multiples or fractions of a base unit
Distance (length, width, height)
TimeTemperatureMass Force (gravity)Amount of a substanceElectric currentLuminous intensity
MEASURABLE PROPERTIES
What objects can I can measure?
What property is being measured?
Come up with five examples of each measureable property coded in red on the previous slide.
EXAMPLES
What units are written with measurements of specific properties?
What tools are used for measurable properties?
GUIDING QUESTION #3
SI: BASE UNITS
Physical Quantity Unit Name Symbol
length meter m
mass gram g
time second s
electric current ampere A
temperature Kelvin K
amount of substance mole mol
luminous intensity candela cd
SI: DERIVED UNITS
Physical Quantity Unit Name Symbol
area square meter m2
volume cubic meter m3
speed meter persecond m/s
accelerationmeter per
second squared m/s2
weight, force newton N
pressure pascal Pa
energy, work joule J
SI AND ENGLISH UNIT COMPARISON
SI Units
Meter Gram Liter Kelvin Mol Cubic meter
English Units
Yard Ounce Quart Fahrenheit Troy ounce Bushel
Using your previous examples, answer the following questions for each one.
What units are written with measurements of specific properties?
What tools are used for measurable properties?
EXAMPLES
USING APPROPRIATE UNITS
In order to make our measurements as accurate and precise as possible, it is important to choose the most appropriate prefix to accompany the base unit.
For example, if I want to measure the distance & mass of a paper clip, I would use centimeters & grams. To find the distance & mass of an elephant, I would use meters & kilogram.
Prefix Symbol Numerical Multiplier ExponentialMultiplier
yotta Y 1,000,000,000,000,000,000,000,000 1024
zetta Z 1,000,000,000,000,000,000,000 1021
exa E 1,000,000,000,000,000,000 1018
peta P 1,000,000,000,000,000 1015
tera T 1,000,000,000,000 1012
giga G 1,000,000,000 109
mega M 1,000,000 106
kilo k 1,000 103
hecto h 100 102
deca da 10 101
no prefix means: 1 100
PREFIXES
PREFIXES
Prefix Symbol Numerical Multiplier ExponentialMultiplier
no prefix means: 1 100
deci d 0.1 10¯1
centi c 0.01 10¯2
milli m 0.001 10¯3
micro m 0.000001 10¯6
nano n 0.000000001 10¯9
pico p 0.000000000001 10¯12
femto f 0.000000000000001 10¯15
atto a 0.000000000000000001 10¯18
zepto z 0.000000000000000000001 10¯21
yocto y 0.000000000000000000000001 10¯24
SI PREFIXES
To help you remember the most practical SI prefixes, label this staircase and glue it in your notebook. You will need to memorize these!!
MEASUREMENT & PRECISION
The precision of a measurement depends on the instrument used to measure it.
For example, how long is this block?
MEASUREMENT & PRECISION
You should estimate one decimal point past where you can accurately measure, if the scale continues so that you can make an educated estimate.
Thus, the tool you use determines the number of significant figures used to report measurements.
Never estimate past the reading on a digital instrument.
HOW BIG IS THE BEETLE?
Copyright © 1997-2005 by Fred Senese
Measure between the head and the tail!
Between 1.5 and 1.6 in
Measured length: 1.54 in
The 1 and 5 are known with certainty
The last digit (4) is estimated between the two nearest fine division marks.
HOW BIG IS THE PENNY?
Copyright © 1997-2005 by Fred Senese
Measure the diameter.
Between 1.9 and 2.0 cmEstimate the last digit.
What diameter do you measure?
How does that compare to your classmates?
Is any measurement EXACT?