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CHAPTER 1:
MECHANICS
1.1 Basic Quantities & SI Units
measured
value unit
1 m, 80 ms-1
Length, intensity, force, speed & etc.
derived
combining
l
m
t
I
T
meter
kilogram
second
Ampere
Kelvin
m
kg
s
A
K
Quantity of matter mol mole K
Relationship
with base units
Symbol
Derived
unit
m ÷ s
m x v
ms-1
÷ s
kg x ms-2
N ÷ m2
kg x ms-2
v
p
a
F
P
W
ms-1
kgms-1
ms-2
N
Pa or
Nm-2
N
• Dimensions of physical quantities relates
the physical quantities to the basic
quantities such as mass (M), length (L),
time (T), electric current (A), temperature
(θ) and quantity of matter (N).
1.2 Dimensions of Physical
Quantities
• Examples:
• [velocity] = [length] / [time]
= LT-1
• [force] = [mass] [acceleration]
= [mass] x [change of velocity] / [time]
= MLT-2
Uses of Dimensions
• To check the homogeneity of a
physical equation
• To derive a physical equation
500 m
500 m
no
left
distance displacement
speed velocity
1.4 Errors
• Two types of errors:
(i) Systematic errors
(ii) Random errors
(i) Systematic errors
• Sources of systematic errors:
• Instruments
• The observers
• The surroundings
• Definition:
• uncertainties in the measurements of a
physical quantities due to instruments,
physical conditions of surrounding & physical
limitations of the observer. (roughly constant)
(ii) Random errors
• Sources of systematic errors:
• Mistakes made by the observer
when taking measurements
• The surroundings and the
instruments used
• Can be reduced by:
• Taking several readings and
calculating the mean.
Review Exercises 1

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