Units and Measurements I
Physical quantity

A physical quantity is a property of a material or system that can be quantified by measurement. In physics, a physical quantity is any physical property of a material or system that can be quantified, that is, can be measured using numbers.A physical quantity can be expressed as a value, which is the algebraic multiplication of a numerical value and a unit. Examples of physical quantities include: Mass, time, length, current, density, etc.

Classification of Physical quantities

Physical quantities are generally classified into two. These are:

Scalers are physical quantities that have numerical values only. They possess magnitude only.They do not give us information about direction. For instance, a man walks a distance of 3m. This statement only gives us the measurement or the length the man covered but doesn't tell us where(direction) the man went to. Examples of scalers include: mass, work, distance, current, distance, speed, energy, etc.

Vectors are physical quantities that possess
both magnitude and direction. They give us information about the direction of the quantity. Examples are displacement, force, acceleration, velocity, weight, gravity, pressure, etc

Units

Unit can be defined as the quantity of a constant magnitude which is used to measure the magnitudes of other quantities of the same nature. Physical quantities are measured using units. The universally accepted system of units
is the International System of Units (SI). Examples of SI units include: metre(m), seconds(s), kilogram(Kg), etc

Fundamental and derived quantities

Physical quantities are often times divided into fundamental and derived quantities.

Fundamental quantities are quantities that are independent of other quantities. They are called basic quantities because other quantities are derived from them. The units of measuring fundamental quantities are called fundamental units


Physical Quantity Symbol Unit
Length L meter (m)
Mass m kilogram (kg)
Time t second (s)
Electric Current I ampere (A)
Temperature T kelvin (K)
Amount of Substance n mol (mole)
Luminous Intensity Iv candela (cd)

Derived quantities are quantities which are gotten by the combination of one or more fundamental quantities. Derived quantities are gotten by algebraic operations on fundamental questions. The units of measuring derived quantities are called derived units


Derived Quantity Unit Symbol
Velocity m/s v
Acceleration m/s² a
Force Newton (N) F
Pressure Pascal (Pa) P
Energy Joule (J) E
Power Watt (W) P
Electric Current Ampere (A) I
Voltage Volt (V) V
Resistance Ohm (Ω) R
Frequency Hertz (Hz) f
Angular Velocity Radian per second (rad/s) ω
Displacement Meter (m) Δx
Momentum Kilogram meter per second (kg m/s) p
Torque Newton meter (N m) τ
Electric Charge Coulomb (C) Q
Electric Potential Volt (V) V
Electric Resistance Ohm (Ω) R
Acceleration due to Gravity Meter per second squared (m/s²) g
Electric Capacitance Farad (F) C
Angular Acceleration Radian per second squared (rad/s²) α
Summary