Week - 1 - Consistency of Units

Conversion of SI units to gm-mm-ms.

1. Mass 1kg in SI units, 1000gm im gm-mm-ms unit system
2. Lenght 1m in SI units, 1000mm im gm-mm-ms unit system
3. Time 1s in SI units, 1000ms im gm-mm-ms unit system
4. Force is 1N i.e., 1kg-m/(s^2), => 1000*1000/(1000^2) gm-mm/(ms^2) =1 gm-mm/(ms^2).
5. Stress is 1Pa i.e., 1kg-m/((m^2)-(s^2)), => 1000*1000/(1000^2)*(1000^2) gm-mm/((mm^2)-(ms^2)) =10^-6 gm-mm/((mm^2)-(ms^2)).
6. Energy is 1Nm i.e., 1kg-(m^2)/(s^2), => 1000*(1000^2)/(1000^2) gm-(mm^2)/(ms^2) =1000 gm-(mm^2)/(ms^2).
7. Density is 1kg/(m^3), => 1000/(1000^3) gm/(mm^3)= 10^-6 gm/(mm^3).
8. Youngs modulus is 210GPa i.e., 210*10^9 kg-m/((m^2)-(s^2)), => 210*10^9*1000*1000/(1000^2)*(1000^2) gm-mm/((mm^2)-(ms^2)) =2.1*10^5 gm-mm/((mm^2)-(ms^2)).
9. Velocity is 56.33 KMPH=> 56.33 *1000*1000/(3600*1000) mm/ms=>15.6472mm/ms.
10. Gravity is 9.8 m/(s^2),=> 9.8*1000/(1000^2) mm/(ms^2)= 9.8*10^-3 mm/(ms^2).

MASS	LENGTH	TIME	FORCE	STRESS	ENERGY	DENSITY	YOUNGS MODULUS	VELOCITY	GRAVITY
kg	cm	ms	10^4 N	100Pa	10^-4 J	10^-6	2.1*10^3	1.564	9.81*10^-4
kg	cm	s	10^2 N	100Pa	10^-4J	10^-6	2.1*10^9	1564.7	981
gm	mm	ms	N	10^6Pa	10^-3J	10^-6	2.1*10^5	1.564*10^4	9810
kg	m	s	N	Pa	J	1	2.1*10^11	15.647	9.81
g	cm	s	10^-5N	10^-1 Pa	10^-7 J	10^-3	2.1*10^12	1564.7	9810
g	cm	us	10^7 N	10^11 Pa	10^5 J	10^-3	2.1	1.56*10^-3	9.81*10^-10
g	mm	s	10^-6 N	Pa	10^-9 J	10^-6	2.1*10^11	1.564*10^4	9810
ton	mm	s	N	10^6 Pa	10^-3 J	10^-12	2.1*10^5	1.564*10^4	9810
slug	ft	s	4.44822 N	47.88 Pa	1.3558 J	0.00194	4.3859	51.3359	32.185
kg	mm	s	10^-3 N	1000Pa	10^-6 J	10^-9	2.1*10^8	15647	9810
g	cm	ms	10 N	10^5 Pa	0.1 J	10^-3	2.1*1-^6	1.564	9.81*10^-4
kg	mm	ms	1000N	10^9 Pa	J	10^-9	210	15.64	9.81*10^-3