Week - 1 - Consistency of units

Objective : To convert the following parameters into different unit system .

MASS 1kg LENGTH 1m TIME 1s FORCE 1N STRESS 1Pa ENERGY 1Nm DENSITY 1Kg/m3 YOUNG'S Modulus 210GPa Velocity 56.33KMPH GRAVITY 9.8m/s2

1. Conversion of SI (Kg/m/S)units into g/mm/ms Unit system :

Mass = 1 kg =1000g Conversion factor is 10³

2. Length 1m = 1000 mm. Conversion factor is 10³
3. Time = 1 s = 1000 ms Conversion factor is 10³
4. Force = 1N = 1 Kg*m/S² = g*mm/ms² = 10³*10³/10⁶ No conversion
5. Stress =1 pa = N /m² = N needs no conversion 10^-6 pa Conversion factor is 10^-6
6. Energy =1 N-m = N needs no conversion metre is 10³ Conversion factor is 10³
7. Density = 1 kg/m³ = 1000/(1000)³ =10^-6 Conversion factor is 10⁺⁶
8. Young s Modulus = 2.1*10¹¹ pa to convert pascal is added 10^-6 Y=2.1 *10⁵
9. Velocity = 15.65 m/s = 15.65 10³/10³ =15.65 mm/ms
10. Gravity = 9.8 m/s ² 8 * 1000/1000² Conversion factor is 10^-3

Unit System	Mass	Length	Time	Force	Stress	Energy	Density\	Young Modulus	Velocity	Gravity
kg m s	1	1	1	1	1	1	1	1	1	1
kg cm ms	1	100	1000	0.0001	E-08	0.001	E-06	E08	0.1	E4
kg cm s	1	100	1	100	0.001	10000	E-06	E-2	E02	E2
g mm ms	1000	1000	1000	1	E-06	1000	E-06	E-06	1	E-3
kg cm s	1	1	1	1	1	1	1	1	1	1
g cm s	1000	100	1	E05	10	E07	0.001	10	E02	E-2
g cm us	1000	100	E+06	E-07	E-11	0.00001	0.001	E-11	E04	E-10
g mm s	1000	1000	1	E06	1	E08	E-06	1	E03	E3
ton mm s	0.001	1000	1	1	E-06	1000	E-12	E-06	E03	E3
slug ft s	0.06852	3.28084	1	0.22481	0.02089	0.7375625	0.00194	0.2088	3.28	3.28
kg mm s	1	1000	1	1000	0.001	E06	E-09	E-03	E03	E3
g cm ms	1000	100	1000	0.1	0.00001	10	0.001	E-05	E01	E-4
kg mm ms	1	1000	1000	0.001	E-09	1	E-09	E-09	1	E-03

Result :

Thus the parameters are converted into the different units by using the above table