Week - 1 - Consistency of Units

SI unit to gm mm ms

Mass: -

1 kg = 1000 gram

Length: -

1 m = 1000 mm

Time: -

1 s =1000 ms

Force: -

F = m.a

= 1 kg * m/s2

= (1000 g )*(1000 mm)/ (1000 ms)^2

= 10^6 g mm/ 10^6 ms^2

F=1N = 1 g mm/ms^2

Conversion Factor = 1

Stress: -

1Pa = 1 N/m^2

= (1 g mm/ ms^2) /(1000 mm)^2

= (1 g mm/ ms^2) / (10^6 mm^2)

1Pa = 10^-6 g /mm ms^2

Conversion Factor = 10^-6

Energy: -

Nm = 1 g mm/ ms^2 * 1 m

= 1 g mm/ms^2 * 10^3 mm

Nm = 10^3 g mm^2 / ms^2

Conversion Factor = 10^3

Density: - ρ: -

= kg/m^3

= 10^3 g /( 10^3 mm)^3

= 10^3 g / ( 10^9 mm ^3)

ρ = 10^-6 g /mm^3

Conversion Factor = 10^-6

Young's Modulus = 210 GPa

• 1 Pa (N/m²) = 1x10^-6 N/mm²
• 1 MPa = 10⁶ Pa (N/m²)
• 1 GPa = 10⁹ N/m² = 10⁶ N/cm² = 10³ N/mm²

GPa = 10^9 * 10^-6 g/mm ms^2

210 GPa = 210*10^3 g/mm ms^2

Conversion Factor = 10^3

Velocity = 56.33 kmph

km = 10^6 mm

1 Hour = 3600 s = 3600000 ms

kmph = 56.33*10^6 mm / 3.6*10^6 ms

V = 15.60 mm/ms

Conversion Factor = 1

Gravity: - 9.8 m/s^2

= 9.8*10^3 mm/ 10^6 ms^2

= 9.8*10^-3 mm / ms^2

Conversion Factor = 1

	mass	length	time	force	stress	energy	density	YOUNG'S Modulus	Velocity	GRAVITY
	1kg	1m	1s	1N = 1kg .m.s-2	1pa=N/m2	1N.m	1kg/m3	1GPA=10^9N/m2	56.33 kmph - 15.64m/s	9.8m/s2
kg cm ms	1	100	1000	1N = 1kg. 100cm. 1000000ms-1	1N = 1kg. 100cm. 1000000ms-1 /10000cm	10^-4kg.cm.ms-2. 100cm	1kg/ 1000000cm	1kg. 100cm. 1000000ms-1/ 10000	100cm/1000ms	100cm/1000000ms
				10^-4kg.cm.ms-2	10^-8kg/cm.ms2	10^-2 kg. cm2. ms-2	10^-6 kg/ cm	2100kg/cm.ms2	1.564cm/ms	9.8*10^-4 cm/ms
kg cm s	1	100	1	1N = 1kg. 100cm.s-2	1kg. 100cm.s-2/10000cm	100 kg.cm. s-2. 100cm	1kg/ 1000000cm	1kg. 100cm.s-2/10000	100cm/s	100cm/s2
				100 kg.cm. s-2	10^-2 kg./ cm.s2	10^4 kg. cm2. s-2	10^-6 kg/ cm	210*10^7kg./ cm.s2	1564cm/s	980 cm/s2
gm mm ms	1000	1000	1000	1N = 1000g.1000mm.1000000ms-1	1000g.1000mm.1000000ms-1/1000000mm	1g . mm/ms2. 1000mm	1000gm/ 1000000000mm	1000g.1000mm.1000000ms-1/1000000	1000mm/1000ms	1000mm/1000000ms
				1g . mm/ms2	1g/mm.ms2	10^3 mm2/ms2	10^-6 gm/ mm	210*10^9g/mm.ms2	15.64mm/ms	9.8*10^-3
kg m s	1	1	1	1kg.m.s-2	1kg/m.s-2/1m2	1kg.m.s-2. 1m
				1kg.m.s-2	1kg/ m.s-2	1kg.m2.s-2	1kg/m3	210*10^9kg/ m.s-2	15.64m/s	9.8m/s2
g cm s	1000	100	1	1000g. 100cm. 1s-2	10^5 g. cm. s-2/100cm2	10^5 g. cm. s-2. 100cm
				10^5 g. cm. s-2	10^1 g/ cm.s2	10^7 g. cm2. s-2	10^-3 g/cm	210*10^10 g/ cm.s2	1564cm/s	980 cm/s2
g cm us	1000	100	1000000	1000g. 100cm. 1000000us-2	10^-7 g. cm.us-2/100cm2	10^-7 g. cm.us-2. 100cm
				10^-7 g. cm.us-2	10^-11 g/ cm.us-2	10^-5 g. cm2. us-2	10^-3 g/cm	210*10^-2 g/ cm.us-2	15.64*10^-4 cm/us	9.8*10^-10cm/us
g mm s	1000	1000	1	1000g. 1000mm. 1s-2	10^6 g. mm. s-2/ 1000mm2	10^6 g. mm. s-2. 1000mm
				10^6 g. mm. s-2	1 g/ mm. s-2	10^9 g. mm2. s-2	10^-6 gm/ mm	210*10^9 g/ mm. s-2	1564000mm/s	9.8*10^3 mm/s2
ton mm s	0.001	1000	1	0.001ton. 1000mm. 1s-2	1 ton. mm. s-2/ 1000mm2	1 ton. mm. s-2. 1000mm
				1 ton. mm. s-2	10^-6 ton/ mm.s-2	10^3 ton.mm2. s-2	10^-12 ton/ mm	210*10^3 ton/ mm.s-2	1564000mm/s	9.8*10^3 mm/s2
slug ft s	0.06	3.28	1	0.068slug. 3.28ft. 1s-2	0.2248slug. ft. s-2/3.28ft2	0.2248slug. ft. s-2. 3.28ft
				0.2248slug. ft. s-2	2.08^-2 slug/ ft. s-2	7.3^-1 slug. ft2. s-2	1.9^-3 slug/ ft	210*2.08^-2*10^9 slug/ ft. s-2	51.299st/s	32.144 ft/s2
kg mm s	1	1000	1	1kg. 1000mm. 1s-2	1000 kg. mm. s-2/1000mm2	1000 kg. mm. s-2. 1000mm
				1000 kg. mm. s-2	10^-3 kg/ mm. s-2	10^6 kg. mm2. s-2	10^-9 kg/ mm	210*10^6 kg/ mm. s-2	15640 mm/s	9.8*10^3 mm/s2
g cm ms	1000	100	1000	1000g. 100cm. 1000ms-2	10^-1 g. cm. ms-2/ 100cm2	10^-1 g. cm. ms-2. 100cm
				10^-1 g. cm. ms-2	10^-3 kg/ mm. s-2	10g. cm2. ms-2	10^-3 g/ cm	210*10^6 kg/ mm. s-2	1.564 cm/ms	9.8*10^-4cm/ms2
kg mm ms	1	1000	1000	1kg. 1000mm. 1000ms-2	10^-3 kg. mm. ms-2/ 1000mm2	10^-3 kg. mm. ms-2. 1000mm
				10^-3 kg. mm. ms-2	10^-9 kg/ mm. ms-2	1 kg. mm2. ms-2	10^-9 kg/ mm	210 kg/ mm. ms-2	15.64mm/ms	9.8*10^-3 mm/ms