Physics

Derived Units: Similarities and differences with fundamental units

len Alfred Ajibola - Wed, 26th February, 2020 @ 5:00 PM

Topics in Physics

Derived Units: Similarities and differences with fundamental units Gravity: Facts on Gravity Relative Density of Substances and Specific Gravity Types of Heat Transfer: Conduction Types of Heat Transfer: Convection Types of Heat Transfer: Radiation Physics Scheme of Work, SS1, First Term Physics Scheme of Work, SS1, Second Term Physics Scheme of Work, SS1, Third Term Velocity and Acceleration Newton's Laws of Motion Importance of Gravity What is Density? Density of various substances Concepts of Force and Motion in Physics Motion and Speed in Physics Concept of Heat Transfer Concepts of Heat and Temperature What is gravity? Concept of gravity on the solar system Zeroth Law of Thermodynamics: Thermal Equilibrium Fundamental Quantities and Units in Physics


Academic Questions in Physics

Please click here to see all Questions and Answers

Which of the following is a fundamental quantity?

  • A. Luminous Intensity

  • B. Area

  • C. Volume

  • D. Velocity

  • E. Concentration

  • F. Acceleration

An object at rest will temporarily stay in its state of rest, and if the object is in uniform motion, it will temporarily move in a straight line, unless an external force acts upon it.

The above statement refers to Sir Isaac Newton's first law of motion.

  • A. True

  • B. False

Which of the following statement is incorrect concerning gravity?

  • A. The force of gravity is generally considered the strongest force among the four forces that govern the universe

  • B. Your weight changes as you travel away from the earth

  • C. If we dig the earth until we get into its center, we will have no weight as a result of lack of gravity

  • D. Gravity prevents us from falling off the constantly rotating earth

  • E. If a hammer and a feather are dropped simultaneously in a vacuum, they will both land at the exact same time as a result of gravity

  • F. Weight is always a function of gravity

Isaac Newton Hit by Apple - Len Academy

Sir Isaac Newton was hit by an apple when he pondered on force, motion and gravity.

  • A. True

  • B. False

The movement of gaseous particles through a tiny hole is termed _____.

  • A. Osmosis

  • B. Diffusion

  • C. Effusion

  • D. Infusion

  • E. Defusion

  • F. Gaslusion

A lighted bulb transfers heat through a process termed _____.

  • A. Conduction

  • B. Convection

  • C. Radiation

  • D. Oxidation

  • E. Reduction

  • F. Electrical Induction

A measurement of how much the velocity of an object changes with time is termed _____.

  • A. Displacement

  • B. Acceleration

  • C. Speed

  • D. Momentum

  • E. Velocity-Time graph

  • F. Average velocity

Which of the following differentiates velocity from speed?

  • A. Distance

  • B. Time

  • C. Momentum

  • D. Inertia

  • E. Direction

  • F. Distance and Time



What are Derived Units?

Derived units are the units of derived quantities. They are dependent on fundamental quantities and are expressed from the combination of two or more fundamental units.

Please read more on the concept of unit and fundamental units here. This knowledge is necessary.


As the name implies, derived units are always derived (from fundamental units). For instance, velocity is a quantity whose unit is derived from length and time (both of which are fundamental quantities) as summarized in the paragraph below.


  • Length (which could also mean distance) is a fundamental quantity measured in meters (m) while time is another fundamental quantity measured in seconds (s). To this end, the unit of velocity is meter per second (m/s) since it is derived from the fundamental units (length and time) respectively.
  • Please read on Newton's laws of motion here.


Since derived units are always derived from fundamental units, we cannot have 'feet per second' as the unit of velocity. This is because the unit feet isn't the ideal measurement for length (or distance); although it may be used as a unit of measurement in some cases.

You can read on motion and speed here.


Below are examples of some derived quantities and their units:


The diagram below shows some derived quantities, their respective derived unit and the unit's symbol. For instance, the first derived quantity from the table is 'area'. The derived unit for area is meter square (or square meter) whose symbol is m2.


Derived Units - Len Academy


It is important to state that the unit of area (m2) is derived from length. Meanwhile, recall that length is a fundamental unit.

You can read on basic and fundamental physics concepts here.

 

Similarities between fundamental and derived units

  1. Both units are used to express physical quantities.

  2. Both are recognized as the Standard International System of Units (SI Units).

You can read on heat transfer by conduction here.

 

Differences between fundamental and derived units

  1. Fundamental units are independent of every other unit including themselves while derived units are dependent on fundamental units.

  2. Fundamental units cannot be further broken down while derived units can be broken down.

  3. We have seven fundamental units while derived units are much more in number.

  4. Fundamental units are uniquely expressed while derived units are expressed in terms of fundamental units.

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Amazing facts in Physics

Marie Curie was the first person ever to win two Nobel prizes. She won her first Nobel price for physics in 1903, and the second for chemistry in 1911 for her work on radioactivity.

The hottest temperature ever recorded occurred in Furnace Creek Ranch, Death Valley, California, USA, at 56.7oor (134oF) on July 10, 1913

Elephant on cumulus cloud - Len Academy

A medium-sized cumulus cloud has a weight of about 80 adult elephants.

You can think of cumulus cloud as a detached, individual, cauliflower-shaped cloud often seen in fair weather conditions

Leaning Tower of Pisa - Len Academy

The reason the Leaning Tower of Pisa is tilted is the same reason it's still standing

One quarter of an apple is filled with air and that's why they float in water

Alfred Noble - Len Academy

The Nobel price was named after its founder, Alfred Noble. He is a Swedish, born on October 21, 1833; and was the inventor of dynamite. He was also a a famous scientist and a successful business man.

Glass Ball - Len Academy

Glass balls bounce higher than rubber balls

Every planet has its own unique gravitational force. For instance, Mars has a gravity of 3.711 m/s2 while earth’s gravitational force is 9.807m/s2.

When two metals are put together in space, they will stick together as if they are welded. This phenomenon is called cold welding

The fastest animal on land is cheetah. It can reach a maximum speed of about 113km per hour.


Notable points in Physics

The Standard International (SI) unit for density is kilogram per cubic metre (Kg/m3).

The table below shows various substances with their densities:

Substance

Density (Kg/m3)

Helium

0.179

Air (1atm and 20oC)

1.20

Bamboo Wood

400

 Ethanol

810

Methylated Spirit

800

Benzene

900

Paraffin Wax

900

Ice

920

Water (Fresh Water)

1000


Please read on density here

Force can be balanced or unbalanced.

When forces from different directions act on an object and consequently bring about the object's motion, then such forces are unbalanced.

Conversely, if theses forces bring about zero motion (static position or no movement) on the object of reference, then it's a balanced force.

In summary,

  • An apple hanging on a tree (without any form of movement) has a balanced force.

  • An apple falling from a tree has an unbalanced force.

If one covers a distance of 10,000 meters in 50 seconds and another covers the same distance in 5,000 seconds, we can conclude that the first person has a greater speed because he covered the same distance at a lesser time.

  • Speed is defined as distance travelled per unit of time. It can also be defined as the rate of change of distance.

Speed = distance/Time

Speed is a scalar quantity since it has only magnitude. Speed does not have a direction.

In physics, motion is defined as a change in the position of an object with reference to time.

Although we sometimes sit or stand in a fixed position, that doesn’t mean motion isn’t taking place. The fact that the earth is constantly rotating implies that we are indirectly moving along with it. We can thus say that motion can be relative to some frame of reference.

In the above paragraph, the earth (constantly rotating along its axis) is our frame of reference and everything present on earth is in motion (with regard to earth as a frame of reference).

Please read on the concepts of motion and speed here

Heat is a form of energy. It cannot be lost according to the first law of Thermodynamics; rather it will be transferred. The first and second laws of thermodynamics are stated below:

  • Energy can neither be created nor destroyed but can be transformed or converted from one form to another.

    1st law of thermodynamics


  • In the course of energy transfer, some energy is lost in the form of heat to the surroundings.

    2nd law of Thermodynamics

Please read on the concept of heat transfer here