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Derived quantities
(speed is derived from dividing distance by time)
Derived unit
Combination of base units trough multiplying and/or dividing them
Example 1: Find the derived unit of Density
Answer:
Unit Conversion
Area & Volume
Conversion of prefixes
Prefixes to normal number
Example 1
The frequency of the radio wave is 350M Hz. What is the frequency of the radio wave in Hz?
Answer :
Mega (M) = 1,000,000 or 106
Therefore, 350MHz = 250 x 106Hz
Example 2
The thickness of a film is 25nm. What is the thickness in unit meter?
Answer:
nano (n) = 0.000000001 or 10-9
Therefore, 25nm = 25 x 10-9 nm
Normal Number to prefixes
Example 3 0.255 s is equal to how many ms?
Answer:
mili (m) = 0.001 or 10-3
To write a normal number with prefixes, we divide the number with the value of the prefixes
0.0255 s = 0.0255 ÷ 10-3 = 25.5 ms
Example 4
Convert 265,500,000 W into GW.
Answer:
Giga (G) = 1,000,000,000 or 109
Therefore,
265,500,000 W = 265,500,000 ÷ 109 = 0.2655GW
Scientific notation
1.Scientific notation (also known as Standard index notation) is a convenient way to write very small or large numbers.
2.In this notation, numbers are separated into two parts, a real number with an absolute value between 1 and 10 and an order of magnitude value written as a power of 10.
3.Physical quantities that are very big or very small need to be written in the standard form so that it is neat, simple and easy to read.
Example:
1. 2,600 = 2.6 x 103
2. 75,300,000 = 7.53 x 107
3. 0.00023 = 2.3 x 10-4
4. 0.00000004121 = 4.121 x 10-6
Scalar and Vector Quantities
Scalar