Unit Conversion & metric system

As we are already discussed about metric system . Below table shows, how can we convert some basic commonly used units.

Topic 1 Area and volume conversion

1.  convert the units of Area

1 m2	10.76 ft2
1 m2	1.2 yd2
1 ft2	0.09 m2
1 yd2	0.84 m2
1 hectare	2.47 acres

     2. Convert the units of Volume

1 m3	35.31 ft3
1 m3	1.30 yd3
1 ft3	0.03 m3
1 yd3	o.76 m3

*1 acre = 4046.856 m²

^{Note :- Standard Prefixes (Red Colour indicates power is negative)}

Multiple	Prefix	Symbol
1018	exa	E
1015	peta	P
1012	tera	T
109	giga	G
106	mega	M
103	kilo	k
102	hecto	h
101	daca	da
101	deci	d
102	centi	c
103	milli	m
106	micro	mu
109	nano	n
1012	pico	p
1015	femto	f
1018	atto	a

^{Newton :- The SI unit of Force is newton. The formula of force is F = ma,( according to the second law of motion )}

^Derivation:-

•  f = ma      (m = mass * a = acceleration)
• 1N= ( N = newton * kg= kilogram*m=meter*s=second)

Example If we want to calculate a weight of a person into newton then we have to multiply this 0.102 kg.     

     50 kg = 50 × 9.8 = 490N

Topic 2 Conversion of newton into kilogram & vice versa.

Conversion in brief

1. N to Kg.
2. N/mm2 to Mpa
3. N/mm2 to kg/cm2
4. N/m3 to kg/m3

1.     1 N = 0.102 kg or 1 kg = 9.8 N

2.           N/mm2 is equal to  Mpa (n/mm2 = mpa)

Derivation. 

• Pressure :- Force / area      (Pressure = Pascal* force=N* Area = m2)

• Pa = N/m2

• m²× Pa = N                   * (10⁶ = mega)

• 1000,000 mm² × Pa = N

• 10⁶ × pa = N/mm²

• Mpa = N/mm²   Hence prove.

3.Conversion of 1 kg/mm2 into 1 N/mm2

• kg/cm2 = 9.8 N/100 mm2    ( 1 Kg = 9.8 N * 1 cm = 10 mm)

• kg/cm2 = 0.09 N/mm2 

4.Conversion of 1 kg/m3 into 1 N/m3 

• kg/m3 = 9.8 N/m3    ( 1 Kg = 9.8 N * 1 cm = 10 mm)

• kg/m3 = 9.8 N/m3