Week - 1 - Consistency of Units

VALUE/UNIT	MASS 1kg	LENGTH 1m	TIME 1s	FORCE 1N	STRESS 1Pa	ENERGY 1Nm	DENSITY 1Kg/m3	E = 210 Gpa	Velocity 56.33KMPH	GRAVITY
Kg cm ms	1	100	1.00E+03	1.00E-04	1	0.01	0.000001	2.1E+11	1.5647	0.000981
Kg cm s	1	100	1	1.00E+02	1.00E-02	10000	0.000001	2.1E+09	1564.7	981
gm mm ms	1.00E+03	1.00E+03	1.00E+03	1	1.00E-06	1000	0.000001	210000	15.647	0.00981
kg m s	1	1	1	1	1.00E-04	1	1	21000000	15.647	9.81
g cm s	1.00E+03	100	1.00E+00	1.00E+05	1.00E+01	1E+07	0.001	2.1E+12	1564.7	981
g cm us	1.00E+03	100	1.00E+06	1.00E-07	1.00E-11	1E-05	0.001	2.1	0.0015647	9.81E-10
g mm s	1.00E+03	1.00E+03	1	1.00E+06	1.00E+02	1E+09	0.000001	2.1E+13	15647	9810
ton mm s	1.00E-03	1.00E+03	1	1.00E+00	1.00E-04	1000	1E-12	21000000	15647	9810
slug ft s	1.46E+01	3.2808	1	4.79E+01	4.45E+00	157.15	0.413268	9.345E+11	51.3346776	32.184648
kg mm s	1.00E+00	1.00E+03	1	1.00E+03	1.00E-01	1E+06	1E-09	2.1E+10	15647	9810
g cm ms	1.00E+03	1.00E+02	1.00E+03	1.00E-01	1.00E-05	10	0.001	2100000	1.5647	0.000981
kg mm ms	1	1.00E+03	1.00E+03	1.00E-06	1.00E-10	0.001	1E-09	21	15.647	0.00981

Explanation for unit gm mm ms:

Mass 1kg = 1000 gm

Length 1m = 1000 mm

Time 1s = 1000 ms

Force = kg.m/s2 = 1000gm. 1000mm/ 1e6 ms2 = 1 gm.mm/ms2

Stress = 1 Pa = 1 Kg/m.s2 = 1000 gm/ 1000mm * 1e6 ms2 = (1e-6 gm/mm.ms2)

Energy = 1 Nm = 1N * 1000mm = 1000 gm.mm2/ms2

Density = 1Kg/m3 = 1000/ (1000^3) gm/mm3 = 1e-6 gm/mm3

Youngs modulus = 210 Gpa = 210 e9 Pa = 210 * e9* e-6 gm/mm.ms2 = 210e3 gm/mm.ms2

Velocity = 53.33 km/hr = 53.33*1000/3600 m/s = 15.647 m/sec = 15.647 mm/ms

Gravity = 9.81 m/s2 = 9.81 *1e3/(1e6) mm/ms2 =0.00981 mm/ms2