SYSTEM OF UNITS

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Physical quantity

Measuring instrument

Length

Ruler, meter tape

Time

Digital watch

Temperature

Thermometer

Weight

Weighing scale


Basic quantity

SI unit

SI unit symbol

Length

Meter

m

Mass

Kilogram

kg

Time

Second

s

Temperature

Kelvin

K

Current

Ampere

A

Amount of substance

Mole

Mol

Luminous intensity

Candela

cd


Derived quantity

SI unit symbol

Area

m2

Volume

m3

Velocity

ms-1

Acceleration

ms-2

Density

kgm-3


Basic quantity

Basic quantity unit

Dimension symbol

Length

m

[L]

Time

s

[T]

Mass

kg

[M]


can check either any equation is correct/valid or not

Rule 1: the quantities the only can be added or subtracted if it have same dimensions.


Rule 2: any equation only valid/correct if the dimensions of the quantities on each side are same.




Values

Scientific notation term

Prefixes term

2000 m

2 x 103 m

2 km

0.005 m

5 x 10-3 m

5 mm

45 000 000 bytes

45 x 106 bytes

45 Mbytes

0.00000008 s

80 x 10-9 s

80 ns

0.2 A

200 x 10-3 A

200 mA


1 km

1000 m

1m

100 cm

1 kg

1000 g

1 hour

60 min

1 hour

3600 sec


Example The total length of the Penang bridge is 13.50 km making it the second longest bridge in Malaysia and the fifth longest in South East Asia.

Convert this length of the bridge to cm.


Solution

Given the length of bridge is 13.50 km. Convert 13.50 km to cm. 1 km = 1000 m

1 m = 100 cm

13.50 km =

13.50 đ?‘˜đ?‘š 1

1000 đ?‘š 1 đ?‘˜đ?‘š

= 13500 m

13500 m =

13500đ?‘š 1

100 đ?‘?đ?‘š 1đ?‘š

= 1350000 cm = 1.35 X10 6 cm


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