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                                                       PHYSICS
                                     MEASUREMENT

Measurement:Is the process of assigning numbers to an event or observation.
standard unit:Is the quantity chosen to be the refferences for other similar units.
The standard unit must be:
-Invariable.
-Accesable.

Basic Fundamental Quantities.
Physical quantity:is any thing which can be measured. i.e Physical quantity is the same as to say Quantity (B.Fundamental quantities).And this can be catogorized into two major groups,
i)Basic (fundamental)quantities.
ii)Derived quantities.
Basic(Fundamental) Quantity.
Is the quantity which can exist their own,without depending on other quantities.
The Fundamental quantities with their S.I unit

Quantity

S.I unit

Unit symbol

Length

metre

m

Mass

kilogram

kg

time

second

s

E.current

ampere

A

Temperature

kelvin

K

Amount of substance

Mole

Mol

Luminous intesity

candela

cd

Length,Mass,Time.

Length:Is the distance between two points.And the SI unit of length is metre,(m).
              Practical words for length.
-Distance.
-Displacement.
-Height.
-Depth.
-Width.
-Breadth.
-Radius .
-Diameter.
-Thickness.
-Circumference.
-Perimeter.
-Altitude.
-Light year.      And alike.

 

The instruments used for measuring length:
-Vernier caliper.
-Tape.
-Meter rule .
-Telescope.
-Spectrometer.
-Micro meter screw gauge.

Appropriate Measuring instruments
Accuracy and Error.
Accuracy:Is the process of getting actual value (reading) by winning as many as possible decimal places of a given unit. OR Is the amount or precise measurement.

Error:Is the deviation from the true reading.
Sources of error
-Poor storage.
-Damage during use.
-Human Factors.
-Fault during manufacture.


Three Types of Error

i)Parallax error.                          
ii)Zero error.
iii)Instrumental error.

How to avoid error
   Error can be avoided  by taking as many as possible reading of a particular value and determining its average.
                      Care must be taken if an instrument is not calibrated from zero.The reading will be the difference between initial value and final value.

Vernier caliper
Is the instruments which is used to measure the length to an accuracy of 0.1mm or 0.01cm.
Application of Vernier caliper
-It is used for measuring thickness of book.
-It is used for measuring inside and outside diameter cylindrical rods.
Structure of Vernier caliper

How to read a Vernier Caliper
i)Measure your specimen with either outside or inside jaws.
ii)Read all main scale which are before the first mark vernier scale.
iii)Identify the mark of vernier scale which is parallel to main scale.this determine the second decimals places of cm.

Examples






















Micrometer screw gauge
Is the instrument which is used to measure the length to an accuracy of 0.01mm or 0.001cm.

Application of Micrometer Screw gauge
i)It is used for measuring diameter and thickness of very thin wires and rods.
ii)It is used for measuring different thin and thickness of materials.

Structure of micrometer screw gauge

 

How to read Micrometer screw gauge

i)Place the object between the anvil and spindle.

ii)Rotate the thimble until the wire is firmly held between the anvil and the spindle.

iii)To take a reading first look at the main scale,that is last mark visible to the left of the thimble.

iv)Read and note down the value on the thimble  that is just below the reference line on the sleeve.

v)Observe along the scale on the thimble ,above the reference line ,until you get the first mark on the thimble that coincides with a mark on the vernier scale on the sleeve.

vi)Read and note down the value on the sleeve.(Add the value in step iv, v, vi.) 

Examples





















Mass.

Is the quantity of matter in an object.And the S.I unit of Mass is kilogram (kg).

The instrument Used for measuring Mass.
-Scale balance.
-Beam balance.
-Digital balance.
-Lever balance .
-Triple Beam balance.

Time.

Is the measure of the interval between two events.And the S.I unit of time is second (s).

The instruments used for measuring time.
-Mechanical stopwatches.
-Digital stopwatches.

There are two types of stop watch.
i)Mechanical stop watch ii)Digital stop watch.

Some common Intervals of time.

1min=60sec.           1min=60sec.
1hr=60min.              1hr=3600sec.
1day=24hrs.            1day=86400sec.

Derived Quantities.
Is the Quantity which can not exist on their own,without depending on other quantities.

Quantity

S.I unit

Unit symbol

Area

square meter

m2

Pressure

Newton per meter

N/m

Volume

Cubic meter

m3

Weight

Newton

N

Velocity

meters per second

m/s

Work

Joules

J

Power

Watts

W

Volume

Volume: The amount of space occupied by matter. Sometimes volume known as capacity and the S.1 unit of volume is meter cubic (m3)

Volume of regular bodies.   
Rectangular block.
-Cube.
 -Cylinder.
-Sphere.
-Cone and pyramids.
-Rectangle.

 

I.        Rectangle:

 

The volume is given by v
 i.e   v = h x l x b

where,  h = height
l = length
v = volume
b= breath

II. Cube:

the volume is given by v,
i.e  V = h x l x b

but; h = l = b

because all sides are equal. so

v = h x h x h= h3

v=l xl  x l =  l3

v= b x b x b = b3

III. Cylinder


The volume is given by v i.e   v = area x height

v = A x h
v= πr2 x h
V=πr2h

 

IV. Sphere


The volume in given by v
i.e   v = 4/3 x πr3
v=4/3πr3.

 

V.Cone and Pyramids

 

Their volume is given by,

V= 1/3 base x height

v= 1/3 x b x h.

v = 1/3 bh.

Determining the volume of irregufar object.
There are two ways of measuring volume of regular bodies,
i)Using measuring cylinder
ii)Using eureka can.

examples of irregular shapes are stones and beans.

 1. Using a Measring cylinder
stes/produce.
i)Fill your water in the measuring cylinder.
ii)Record the initial volume of water carefully (v1).
iii)Tie the object with a string and immerse it into the cylinder. 
iv)Record the final volume of water  (v2).
v)The difference between the final anal and initial volumes gives the volume of your irregular body. (stone )

i.e Volume of stone (Vs)= V2 - V1
Example I. When an irregular solid was immersed in 65 cm3 of water , the water level rose to 81 cm3. What was the volume of   solid?
Given;
Initial Volume of water (V1)=65cm3.
Final Volume of water (V2)=81cm3
                                                  Solution
                                     From; Volume of solid (Vs)=Final volume (V2) - Initial volume (V1)
                                                                       (Vs)=(81 - 65) cm3  
                                                                       (Vs)
=16cm3
Therefore, the volume of Solid is 16cm3.

2.Using a Eureka can
steps/procedure
i)Fill your water in the eureka can upto its spout.
ii)Tie the object with a string.
iii)Immerse the tied object in water completely.
iv)Then the object will displace some water which will be collected in the beaker.
v)Transfer the displaced water into a measuring cylinder and determining its volume then that will be a volume of irregular object.
Therefore this is the Main Ways of Measuring Volumes of Irregular  Objects.

Density
Density of a substance is defined as "the mass of substance per unit volume"
                     By formulae; 
                                             Density(ρ)=mass(m)/volume(v)
                                                                            
(ρ)=m/v..............*
The S.I unit of density is kilogram per meter cubic (kg/m 3).
Note Ig/cm3=1000kg/m3.

Example I.
.A rectangle of dimension 2cm  * 5cm   *    10cm has density of 2g/cm3.Find the mass of the rectangle.
Given;
Volume,V = 100cm3
Density,
ρ = 2g/cm3
                                             solution
             From; Density (ρ)= mass(m)/volume(v)
      so; let us make subject m as the formula ;
multiply by volume both sides to get mass;

hence; mass(m) = Density (ρ)×volume(v)
                                  =2 × 100
                         =200 g.
Therefore , Mass of the rectangle is 200 g.
Example II.
A sphere of radius 7cm has mass of 1kg. Determine its density.
Given;
Radius of the sphere, r = 7cm.
Mass of the sphere, m=1kg=1000g.
                                              Solution
                 since; Volume of the sphere V= 4/3 πr 3
                                                                                =4/3  ×  3.14 × 7 × 7 × 7
                                                                                =4312/3 cm3
                                                      but; ρ= M/V
                                                                 = 1000 ÷ 4312/3
                                                               ρ=3000/4312 g/cm3 .

Therefore the Density is 3000/4312 g/cm3.                 

                            
Relative Density(Specific density).
Is the Ratio of density of a substance over density of water.
                         By formulae; relative density (R.D)=Density of a substance / Density of water.
Example.

















Importance Of Measurement In Our Daily life Especially In This Time Of Science And Technology.
-It helps in our Trades.
-It helps in our Farming activities.
-It helps in fashion industry.
-It helps in Hospitals for detecting and controlling diseases.
-It helps in Designing(architect) and Engineering.

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