Page 1
Unit
Page 2
Unit
Physical Quantity and Measurement
Physical Quantity
A physical quantity is something
we can measure, like weight,
length, or temperature.
Measurement
T o measure something means to
find out how much of it there is. We
compare what we're measuring to a
standard unit. Different systems
use different units to measure the
same thing.
Errors in Measurement
When we measure, we might not
get the exact right value. There are
three main types of errors:
Absolute Error: The difference
between the true value and
what we measured.
Relative Error: The absolute
error divided by the average
value.
Percentage Error: The relative
error multiplied by 100.
Page 3
Unit
Physical Quantity and Measurement
Physical Quantity
A physical quantity is something
we can measure, like weight,
length, or temperature.
Measurement
T o measure something means to
find out how much of it there is. We
compare what we're measuring to a
standard unit. Different systems
use different units to measure the
same thing.
Errors in Measurement
When we measure, we might not
get the exact right value. There are
three main types of errors:
Absolute Error: The difference
between the true value and
what we measured.
Relative Error: The absolute
error divided by the average
value.
Percentage Error: The relative
error multiplied by 100.
System of Units
Main Systems of Units
Physical quantities are measured using four main
systems of units:
CGS (Centimetre, Gram, Second)
FPS (Foot, Pound, Second)
MKS (Metre, Kilogram, Second)
SI (International System of Units)
Fundamental Quantities
Fundamental quantities are those that are
independent of each other, and their units are
called fundamental units. The most widely
accepted system is the SI system, adopted in 1971
by the Conference of Weights and Measures held
in Geneva. There are seven fundamental
quantities in the SI system, along with two
supplementary fundamental units:
Radian (rad): Unit of plane angle.
Steradian (sr): Unit of solid angle.
Page 4
Unit
Physical Quantity and Measurement
Physical Quantity
A physical quantity is something
we can measure, like weight,
length, or temperature.
Measurement
T o measure something means to
find out how much of it there is. We
compare what we're measuring to a
standard unit. Different systems
use different units to measure the
same thing.
Errors in Measurement
When we measure, we might not
get the exact right value. There are
three main types of errors:
Absolute Error: The difference
between the true value and
what we measured.
Relative Error: The absolute
error divided by the average
value.
Percentage Error: The relative
error multiplied by 100.
System of Units
Main Systems of Units
Physical quantities are measured using four main
systems of units:
CGS (Centimetre, Gram, Second)
FPS (Foot, Pound, Second)
MKS (Metre, Kilogram, Second)
SI (International System of Units)
Fundamental Quantities
Fundamental quantities are those that are
independent of each other, and their units are
called fundamental units. The most widely
accepted system is the SI system, adopted in 1971
by the Conference of Weights and Measures held
in Geneva. There are seven fundamental
quantities in the SI system, along with two
supplementary fundamental units:
Radian (rad): Unit of plane angle.
Steradian (sr): Unit of solid angle.
Derived Quantities and Units of Length
Derived Quantities
Quantities obtained from fundamental
quantities, with corresponding derived
units. Examples: velocity, force, work,
density, and momentum.
Unit of Length
The metre (m) is the SI unit of length,
defined as the distance light travels in
vacuum in 1/299,792,458 second.
Other Units of Length
Light Year: Distance light travels in
one year (9.46 × 10¹ u m)
Parsec: Distance at which 1 AU
subtends 1 second angle (3.085 ×
10¹ v m)
Micron (µm): 10 { v m
Astronomical Unit (AU): 1.49 × 10¹¹
m
Angstrom (Å): 10 {¹ p m
Nanometre (nm): 10 { y m
X-unit: 10 {¹ t m
Fermi: 10 {¹ u m
Yard: 0.9144 m
Page 5
Unit
Physical Quantity and Measurement
Physical Quantity
A physical quantity is something
we can measure, like weight,
length, or temperature.
Measurement
T o measure something means to
find out how much of it there is. We
compare what we're measuring to a
standard unit. Different systems
use different units to measure the
same thing.
Errors in Measurement
When we measure, we might not
get the exact right value. There are
three main types of errors:
Absolute Error: The difference
between the true value and
what we measured.
Relative Error: The absolute
error divided by the average
value.
Percentage Error: The relative
error multiplied by 100.
System of Units
Main Systems of Units
Physical quantities are measured using four main
systems of units:
CGS (Centimetre, Gram, Second)
FPS (Foot, Pound, Second)
MKS (Metre, Kilogram, Second)
SI (International System of Units)
Fundamental Quantities
Fundamental quantities are those that are
independent of each other, and their units are
called fundamental units. The most widely
accepted system is the SI system, adopted in 1971
by the Conference of Weights and Measures held
in Geneva. There are seven fundamental
quantities in the SI system, along with two
supplementary fundamental units:
Radian (rad): Unit of plane angle.
Steradian (sr): Unit of solid angle.
Derived Quantities and Units of Length
Derived Quantities
Quantities obtained from fundamental
quantities, with corresponding derived
units. Examples: velocity, force, work,
density, and momentum.
Unit of Length
The metre (m) is the SI unit of length,
defined as the distance light travels in
vacuum in 1/299,792,458 second.
Other Units of Length
Light Year: Distance light travels in
one year (9.46 × 10¹ u m)
Parsec: Distance at which 1 AU
subtends 1 second angle (3.085 ×
10¹ v m)
Micron (µm): 10 { v m
Astronomical Unit (AU): 1.49 × 10¹¹
m
Angstrom (Å): 10 {¹ p m
Nanometre (nm): 10 { y m
X-unit: 10 {¹ t m
Fermi: 10 {¹ u m
Yard: 0.9144 m
Units of Area and Volume
Units of Area
Area relates to squared length. Key units:
Barn: 10-28 m2
Acre: 4047 m2
Hectare: 10,000 m2
Units of Volume
Volume relates to cubed length. Key units:
10 mL = 1 cL = 0.018 pint (0.021 US pint)
100 cL = 1 L = 1.76 pints
10 L = 1 daL = 2.2 gallons (2.63 US gallons)
1 cm3 = 1 mL
1 barrel = 159 L
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