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1. Introduction and Dimensional analysis.pdf

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1.Definition

2.Characteristics 3.Branches

4.Models, Theories, laws 5.Measurement

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At the end of this chapter, you should be able to

1) Define PHYSICS;

2) Explain MEASUREMENT;

3) Implement Unit Conversions in problem solving.

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We know that they can be explained by Physics

BUT WHAT

IS

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MATTER

TIME

SPACE ENERGY

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Definitions of PHYSICS

Is the science of matter and energy and

their interactions

Is governed by laws and formalisms that

explains the phenomena of the exotic

and of the everyday life

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SCIENCE

 from Latin word “scientia” meaning “knowledge”  a systematized knowledge derived from

observation, study, facts, and principles.

PHYSICS

 meaning “natural things”

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Physics, major science, dealing with the

fundamental constituents of the universe,

the forces they exert on one another, and

the results produced by these forces.

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“ The object of all sciences is to coordinate our experiences and to bring them into a logical system.”

Every Science…. Scientific Method:

Chooses to study a class of phenomena

Describe in a systematic way

‘explain’ in terms of principles

Collection of Data

Formulation of Laws

Formulation of a Model, Theory or Conceptual

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MODELS - mental image of a

phenomena in terms of something we are familiar with.

THEORIES - attempt to solve a set of problems, often with mathematical precision.

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 Search for the truth

 Creative human activity  Investigative

 Empirical  Numerical

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 Physics, the most fundamental science, is

concerned with the basic principles of the Universe.

It is the foundation upon which the other

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Mechanics

deals with such ideas as inertia, motion, forces and energy.

Thermodynamics

deals with the principles on heat flow, heat transformations and temperature measurements.

Electricity and Magnetism

deals with other aspects of matter and space with emphasis on electric charge and current.

Optics

concerned with the nature and propagation of light
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 The ability not only to define, but to measure is a requisite of science

 In Physics, more than in any other field of knowledge,

the precise definition of terms and accurate

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PHYSICAL QUANTITY

any number that is used to describe a physical phenomenon quantitatively.

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Fundamental Quantities

– quantities that exist

by themselves.

 Time, Length, Mass

Derived Quantities

– quantities that are

dependent on other quantities.

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FUNDAMENTAL QUANTITIES DISTANCE TIME

MASS

TEMPERATURE

AMOUNT OF MATTER

CURRENT

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Scalar Quantities- quantities with magnitude onlyVector Quantities- quantities with both magnitude

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Standards

-

we can refer to standards as

the

reference

from which

you will compare your

physical quantity of interest

Standards

UNITS

The problem here is that

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SI (Système Internationale)

is the system universally used by the scientific

community

SI

English

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Time :

Standard : 1 second

Definition : the time required for the

9 192 631 770 cycles of Cs – 133 atom

Length

Standard : 1 meter

Definition : the distance traveled by light in vacuum in

during a time interval of 1/299 792 458 of a second

Mass

Standard : 1 kilogram

Definition : The mass of the International kilogram

prototype kept at the France’s International Bureau

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Measurement

instruments, when

calibrated in terms of the standard, give a very good

approximation of the standard!

 Remember to choose measurement instruments wisely - not all instruments that can measure length, can

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It is better to use prefixes in

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WHAT IF... You are driving

along a highway and you

see a sign that says

“SPEED

LIMIT 100 mi/h”

and your

speedometer indicates that

your speed is about 31

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 When units are not consistent, you may need to convert to appropriate ones

 Units can be treated like algebraic quantities that can cancel each other out

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There are three types of conversion

1. Straight forward Linear Conversion 36 in = ____ cm

2. Chain Conversion 12 mi/h = ____ m/s

3. Power Conversion 21 in2 = ____ cm2

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The speed of a 2.0 kg ball is 450 km/h. Determine its speed in

a. m/s

b. ft/s

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 Identify the starting point  Identify the “destination”

 List the connecting conversion factors

 Multiply the starting measurement by the

conversion factors

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Dimension

denotes the

physical nature

of

a quantity

Dimensions

can be treated as algebraic

quantities

Always remember that

equations should

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Quantity Dimension

Unit

Length

L

Meter (m)

Mass

M

Kilogram (kg)

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 Dimensional analysis

makes use of the fact that dimensions can be treated as

algebraic quantities.

Is a process of

algebraic

manipulation of

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Determine the dimension of the quantity a. v = at

b. x = xo + vot + (½) a t2

c. D = m/V

where

[a] = L/T2

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 Make an equation with the following specifications:

1. At the left hand side is W and X (Work, same dimensions as energy [ML2/T2], X is distance)

2. At the right hand side is mass (m) and acceleration (a)

References

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