Week - 1 - Consistency of units

Aim:

To convert measurements in one system of units to another and explain the detailed conversion for SI to gm/mm/ms unit.

Conversion Table:

	Mass	Length	Time	Force	Stress	Energy	Density	Young's modulus	Velocity	Gravity
	1Kg	1m	1s	1N	1Pa	1Nm	1Kg/m3	210 Gpa	56.33Kmph	9.8m/s2
Conversion Factor				Mass*Length/(Time^2)	Force/(Length^2)	Force*Length	Mass/(Length^3)	210e+9*Stress	56330*Length/(3600*Time)	9.8*Length/(Time^2)
Kg cm ms	1	100	1000	0.0001	1E-08	0.01	0.000001	2100	1.564722222	0.00098
Kg cm s	1	100	1	100	0.01	10000	0.000001	2.1E+09	1564.722222	980
gm mm ms	1000	1000	1000	1	0.000001	1000	0.000001	210000	15.64722222	0.0098
Kg m s	1	1	1	1	1	1	1	2.1E+11	15.64722222	9.8
g cm s	1000	100	1	100000	10	10000000	0.001	2.1E+12	1564.722222	980
g cm us	1000	100	1.00E+06	0.0000001	1E-11	0.00001	0.001	2.1	0.001564722	9.8E-10
g mm s	1000	1000	1	1000000	1	1E+09	0.000001	2.1E+11	15647.22222	9800
ton mm s	1.00E-03	1000	1	1	0.000001	1000	1E-12	210000	15647.22222	9800
slug ft s	6.80E-02	3.28	1	0.22304	0.0207317	0.731571	0.001927025	4.35E+09	51.32288889	32.144
kg mm s	1	1000	1	1000	0.001	1000000	0.000000001	2.1E+08	15647.22222	9800
g cm ms	1000	100	1.00E+03	0.1	0.00001	10	0.001	2100000	1.564722222	0.00098
Kg mm ms	1	1000	1.00E+03	0.001	1E-09	1	0.000000001	210	15.64722222	0.0098

From the table, we can clearly tell the conversion factors for each system of units.

Explanation for conversion from SI to gm/mm/ms system:

Force 1N = 1000*1000/1000000=1

Stress 1 Pa = 1/(1000^2)=10e-6

Energy 1Nm = 1*1000=1000

Density 1 Kg/m3 = 1000/(1000^3)=10e-6

Young's Modulus 210GPa = 210e+9*10e-6=210e3

Velocity56.33Kmph = (56.33e+3/3600)*1000/1000=15.64722

Gravity 9.8m/s2 = 9.8*1000/(1000^2)=0.0098