3) UNITS & MEASUREMENTS

UNIT: Accepted standards for measuring physical quantity are known as Units.


Classification of Units:   a) Fundamental Units.

                                     b) Derived Units.

                                     c) Absolute and Gravitational Units.

a) Fundamental Units: The units of fundamental physical quantities (length, mass ,time) are known as fundamental units.
   Fundamental Units are further sub-divided into M.K.S., C.G.S., & F.P.S. Systems.


                    Out of them MKS & CGS are known as Metric Systems & FPS is known as British System.




Fundamental Physical Quantity Fundamental Unit

Length Metre -m

Mass Kilogram -kg

Time Second -s

e.g.











Fundamental Units are further sub-divided into M.K.S., C.G.S., & F.P.S. Systems.

Out of them MKS & CGS are known as Metric Systems & FPS is known as British System.



Length Mass Time



Metric systems.

M.K.S. System.

m

kg

s



C.G.S.System.

cm

g

s



British Imperial system.

F.P.S. System.

foot

pound

s



Further examples of primary/fundamentals units are : ampere, Kelvin, candela, mole.

Supplementary units: rad (Radian-For measurement of Plane angle).

steradian (Steradian-For measurement of Solid angle ).
LENGTH :
1 inch = 2.54 cm = 25.4 mm
1 cm = 0.3937 inch,   1mm = 0.03937inch

1 ft = 30.48 cm = 0.3048 m
1 yard = 91.44 cm = 0.9144m

1 m = 39.37 inch
        = 3.281 ft
        = 1.094 yard
        = 100 cm
1 micron =  mm = 0.001mm = 10-3 mm
1 ft = 12 inch
1 yard = 3 ft
22 yard = 1 chain
220 yard = 1 furlong = 10chain
8 furlong = 1 mile
1 kilometre = 3281 ft = 1094 yard = 0.622 mile = 1000 m = 1000 x 106 micron = 109 micron
1 mile = 5280 ft = 1760 yard = 1.609 km = 1609 x 106 micron

METRIC SYSTEM (M.K.S.)
10 mm = 1 cm
10 cm = 1 dm (deci metre)
10 dm = 1 m
10 m = 1 dam (deca metre)
10 dam = 1 hm (hector metre)
10 hm = 1 km (kilo metre)



AREA :
 1 sq. Inch = 6.4516 sq cm
1 sq. cm = 0.155 sq inch,  1 sq. mm = 0.00155 sq inch

1 sq ft = 0.0929 sq m
1 sq yard = 0.8361 sq m

1 sq m  =  10.765 sq ft
             = 1.1968 sq yard
             =10,000 sq cm
1 are = 100 sq m
1 acre = 4840 sq yard = 4047 sq m = 40.47 are = 0.4047 hectare
1 hectare = 2.4711 acre = 100 are
1 sq km  = 100 hecatre
1 sq mile = 259 hectare
1 sq ft = 144 sq inch

METRIC SYSTEM (M.K.S.)
100 sq mm = 1 sq cm or 1 cm2
100 sq cm = 1  sq dm  or 1 dm2  (deci metre square)
100 sq dm  = 1 sq m or 1 m2
100 sq m = 1 sq dam
 100 sq dam = 1 sq hm  or 1 hm2  (hecto metre square
VOLUME :
1 cu Inch =1 6.4 sq cc  (cc means cubic centi meter)
1 sq. cm = 0.061 cu inch,  1 cu mm = 0.000061 cu inch

1 cu ft = 6.23 gallon = 28.317 litre = 0.028317 cu m
1 cu yard = 0.76455 cu m

1 cu m  =  35.3198 cu ft
             = 1.3093 cu yard
             =1000 litre
             =10,0000 cu cm = 106 cu cm
1lite  - 0.22 gallon = 1000 ml
1 gallon = 4.546 litre
1 pint =  gallon = 0.56825 litre = 568.25 ml

WEIGHT :
1 gram =  ounce

1 ounce = 28.35 g