Week - 1 - Consistency of Units

AIM: To convert the given SI unit values of measurement and also prepare the table for consistancy units as per given.

Converting ( Kg ,M ,S) to ( g, mm, ms)

MASS 1kg = 1000g

LENGTH 1m = 1000mm

TIME 1s = 1000ms

FORCE 1N - F= MxA

A= m/s^2

F= 1000gx(1000mm/10^6ms^2)

= 1g mm/ms^2

Conversion factor is 1

STRESS 1Pa 1Pa =1N/m^2

1N=1000gx(1000mm/10^6ms) From previous equation.

M^2 =10^6 ms^2

= 1000gx(1000mm/10^6ms) / 10^6 ms^2

=10^-6 g/(mm*ms^2)

Conversion factor is 10^-6

ENERGY 1Nm 1Nm= (kg/m/s^2)* m

= (1g mm/ms^2 ) 10^3mm :-1g mm/ms^2 from force equation

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

Conversion factor is 10^3

DENSITY 1Kg/m3 = 1000g/(10^9mm^3)

=10^-6g/mm^3

Conversion factor is 10^-6

YOUNG'S Modulus 210GPa =210 *10^9pa

=210*10^9*10^-6 g/(mm*ms^2) :- 10^-6 g/(mm*ms^2) from Stress equation

=210*10^3g/(mm*ms^2)

Conversion factor is 10^-6

Velocity 56.33KMPH =56.33 *10^6mm/(3600*10^3ms) :- 1 Hr=3600s

=15.647m/s 3600s=3600*10^3ms

Conversion factor is 0.277

GRAVITY 9.8m/s2 9.8*1000mm/10^6ms^2

9.81*10^-3mm/ms^2

Conversion factor is 10^-3

SI unit Table:

S.I units	MASS	LENGTH	TIME	FORCE	STRESS	ENERGY	DENSITY	YOUNG'S Modulus	Velocity	GRAVITY
Kg M S	1 kg	1M	1s	kg*m/s^2	kg/(m*s^2)	Kg*m^2/s^2	Kg/M^3	210 10^9kg/(m*s^2)	15.647m/s	9.81*m/s^2
Coversion Factor	1	1	1	1	1	1	1	1	1	1
Kg cm ms	1 kg	10^2cm	10^3ms	10^-4(kg*cm/ms^2)	10^-8kg/(cm*ms^2)	10^-2 Kg*cm^2/ms^2	10^-6Kg/cm^3	2100kg/(cm*ms^2)	1.5647cm/ms	9.81*10^-4cm/ms^2
Coversion Factor	1	10^2	10^3	10^-4	10^-8	10^-2	10^-6	10^-8	10^-1	10^-4
Kg cm s	1 kg	10^2cm	1S	10^2kg*cm/s^2	10^-2 kg/(cm*s^2)	10^4cm^2/s^2	10^-6Kg/cm^3	210 10^7kg/(cm*s^2)	1564.7cm/s	9.81*10^2cm/s^2
Coversion Factor	1	10^2	1	10^2	10^-2	10^4	10^-6	10^7	10^2	10^2
gm mm ms	10^3g	10^3mm	10^3ms	1g mm/ms^2	10^-6 g/(mm*ms^2)	10^3g*mm^2/ms^2	10^-6g/mm^3	210*10^3g/(mm*ms^2)	15.647m/s	9.81*10^-3mm/ms^2
Coversion Factor	10^3	10^3	10^3	1	10^-6	10^3	10^-6	10^-6	1	10^-3
g cm s	10^3g	10^2cm	1	10^5 g*cm/s^2	10g/(cm*s^2)	10^7g*cm^2/s^2	10^-3Kg/cm^3	210 10^10kg/(cm*s^2	1564.7cm/s	9.81*10^2cm/s^2
Coversion Factor	10^3	10^2	1	10^5	10	10^7	10^-3	10^10	10^2	10^2
g cm us	10^3g	10^2cm	10^6us	10^-7g*cm/us^2	10^-11 g/(cm*us^2)	10^-5g*cm^2/us^2	10^-3g/cm^3	2.10g/(cm*us^2)	15.647*10^-4cm/us	9.81*10^-10cm/us^2
Coversion Factor	10^3	10^2	10^6	10^-7	10^-11	10^-5	10^-3	10^-11	10^-4	10^-10
g mm s	10^3g	10^3mm	1s	10^6g mm/s^2	g/(mm*s^2)	10^6g*mm^2/s^2	10^6g/mm^3	210 *10^9g/(mm*s^2)	15.64710^3mm/s	9.81*10^3mm/s^2
Coversion Factor	10^3	10^3	1	10^6	1	10^9	10^-6	1	10^3	10^3
ton mm s	10^-3ton	10^3mm	1s	ton*mm/s^2	10^-6ton/(mm*s^2)	10^3ton*mm^2/s^2	10^-12ton/mm^3	210 10^3ton/(mm*s^2)	15.64710^3mm/s	9.81*10^3mm/s^2
Coversion Factor	10^-3	10^3	1	1	10^-6	10^3	10^-12	10^-6	10^3	10^3
slug ft s	0.068slug	3.28ft	1	0.223slug*ft/s^2	0.020slug(ft*s^2)	0.7315slug*ft^2/s^2	1.92*10^-3slug/ft^3	4.35310^9slug/(ft*s^2)	51.322 ft/s	32.17ft/s^2
Coversion Factor	0.068	3.28	1	0.223	0.0207	0.7315	1.92*10^-3	0.0207	3.28	3.28
kg mm s	1kg	10^3mm	1s	10^3kg*mm/s^2	10^-3kg/(mm*s^2)	10^6Kg*mm^2/s^2	10-9Kg/mm^3	210 10^6kg/(mm*s^2)	15.647*10^3mm/s	9.8110^3mm/s^2
Coversion Factor	1	10^3	1	10^3	10^-3	10^6	10-9	10^-3	10^3	10^3
g cm ms	10^3g	10^2cm	10^3ms	10^-1g*cm/ms^2	10^-5g/(cm*ms^2)	10g*cm^2/ms^2	10^-3g/cm^3	210 10^4g/(cm*ms^2)	1.5647cm/ms	9.81*10^-4cm/ms^2
Coversion Factor	10^3	10^2	10^3	10^-1	10^-5	10	10^-3	10^-5	10^-1	10^-4
kg mm ms	1kg	10^3mm	10^3ms	10^-3kg*mm/ms^2	10^-9kg/(mm*ms^2)	Kg*mm^2/ms^2	10-9 Kg/mm^3	210*kg/(mm*ms^2)	15.647m/s	9.81*10^-3mm/ms^2
Coversion Factor	1	10^3	10^3	10^-3	10^-9	1	10^-9	10^-9	1	10^-3