Week - 1 - Consistency of units
Objective : Converting SI System units to other system
Detailed calculation of conversion from SI(kg/m/s) to g/mm/ms
Mass: 1kg=1000 gm
Length : 1mm=1000 mm
Time: 1s=1000ms
Force:1N = 1 `(kg-m)/(s^2)` = 1 `(10^3g-10^3mm)/(10^6mm^2*s^2)`= 1 `(g-mm-s^2)`
Stress: 1Pa=`1(N/m^2)=1 (kgxxm)/(s^2xxm^2)=1(10^3g)/((10^6(ms)^2)xx10^3mm)``=10^-6g-mm-(ms)^2`
Energy: 1 N-m = `1(kg-m)/(s^2)xxm``=1 (kg-m^2)/s^2=1xx(10^3g-10^6mm^2)/(10^6mm^2s^2)=10^3g-s^2`
`Density= 1kg/m3=10^-6g-mm^3`
`Young's Modulus = 2.1xx10^11Pa=2.1xx10^5 g-mm-(ms)^2`
Velocity = 15.65 m/s = 15.65 mm/ms
`Gravity = 9.81 m/s^2 = 9.81xx10^-3 ms^2`
Table of unit system:
|
Unit system |
Mass |
Length |
Time |
Force |
Stress |
Energy |
Density |
Young’s modulus |
Velocity |
Gravity |
|
SI |
kg |
m |
s |
N=kg.m/s2 |
Pa=kg/(ms2) |
Nm=kg-m2/s2 |
Kg/m3 |
Pa=kg/(ms2) |
m/s |
m/s2 |
|
Kg cm ms |
kg |
cm |
ms |
Kg.cm/ms2 |
Kg/cm.ms2 |
Kg-cm2/ms2 |
Kg/cm3 |
Kg/cm.ms2 |
cm/ms |
cm/ms2 |
|
Kg cm s |
kg |
cm |
s |
Kg.cm/s2 |
Kg/cm.s2 |
Kg-cm2/s2 |
Kg/cm3 |
Kg/cm.s2 |
cm/s |
cm/s2 |
|
G mm ms |
g |
mm |
ms |
g.mm/ms2 |
g/mm.ms2 |
g-mm2/ms2 |
g/mm3 |
g/mm.ms2 |
mm/ms |
mm/ms2 |
|
Kg m s |
kg |
m |
s |
Kg.m/s2 |
Kg/m.s2 |
Kg-m2/s2 |
Kg/m3 |
Kg/m.s2 |
m/s |
m/s2 |
|
G cm s |
g |
cm |
s |
g.cm/s2 |
g/cm.s2 |
g-cm2/s2 |
g/cm3 |
g/cm.s2 |
cm/s |
cm/s2 |
|
G cm us |
g |
cm |
us |
g.cm/us2 |
g/cm.us2 |
g-cm2/us2 |
g/cm3 |
g/cm.us2 |
cm/us |
cm/us2 |
|
G mm s |
g |
mm |
s |
g.mm/s2 |
g/mm.s2 |
g-mm2/s2 |
g/mm3 |
g/mm.s2 |
mm/s |
mm/s2 |
|
Ton mm s |
ton |
mm |
s |
Ton.mm/s2 |
Ton/mm.s2 |
Ton-mm2/s2 |
Ton/mm3 |
Ton/mm.s2 |
mm/s |
mm/s2 |
|
Slug ft s |
slug |
ft |
s |
Slug.ft/s2 |
Slug/ft.s2 |
Slug-ft2/s2 |
Slug/ft3 |
Slug/ft.s2 |
ft/s |
ft/s2 |
|
Kg mm s |
kg |
mm |
s |
Kg.mm/s2 |
Kg/mm.s2 |
Kg-mm2/s2 |
Kg/mm3 |
Kg/mm.s2 |
mm/s |
mm/s2 |
|
G cm ms |
g |
cm |
ms |
g.cm/ms2 |
g/cm.ms2 |
g-cm2/ms2 |
g/cm3 |
g/cm.ms2 |
cm/ms |
cm/s2 |
|
Kg mm ms |
kg |
mm |
ms |
Kg.mm/ms2 |
Kg/mm.ms2 |
Kg-mm2/ms2 |
Kg/mm3 |
Kg/mm.ms2 |
mm/ms |
mm/ms2 |
Table of corresponding unit conversions:
|
Unit system |
Mass |
Length |
Time |
Force |
Stress |
Energy |
Density |
Young’s modulus |
Velocity 35 mph or 56 kmph |
Gravity |
Conversion Factor Young's Modulus |
|
SI |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
2.1E+11 |
15.65 |
9.8 |
1 |
|
Kg cm ms |
1 |
100 |
1000 |
0.0001 |
1E-08 |
0.01 |
1E-6 |
2.1E+3 |
1.565 |
9.8E-4 |
1E-08 |
|
Kg cm s |
1 |
100 |
1 |
100 |
0.01 |
10000 |
1E-6 |
2.1E+9 |
1.57E+3 |
9.8E+2 |
1E-02 |
|
g mm ms |
1000 |
1000 |
1000 |
1 |
1E-06 |
1000 |
1E-6 |
2.1E+5 |
15.65 |
9.8E-3 |
1E-06 |
|
Kg m s |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
2.1E+11 |
15.65 |
9.8 |
1 |
|
g cm s |
1000 |
100 |
1 |
100000 |
10 |
1E+7 |
0.001 |
2.1E+12 |
1.57E+3 |
9.8E+2 |
10 |
|
g cm us |
1000 |
100 |
1000000 |
1E-07 |
1E-11 |
1E-5 |
0.001 |
2.1E+00 |
1.57E-3 |
9.8E-10 |
1E-11 |
|
g mm s |
1000 |
1000 |
1 |
1000000 |
1 |
1E+9 |
1E-6 |
2.1E+11 |
1.57E+4 |
9.8E+3 |
1 |
|
Ton mm s |
0.001 |
1000 |
1 |
1 |
1E-06 |
1000 |
1E-12 |
2.1E+5 |
1.57E+4 |
9.8E+3 |
1E-06 |
|
Slug ft s |
0.06852 |
3.28084 |
1 |
0.22481 |
0.02089 |
0.7356 |
0.00194 |
4.39E+9 |
51.345 |
32.1522 |
0.02088544 |
|
Kg mm s |
1 |
1000 |
1 |
1000 |
0.001 |
1E+6 |
1E-9 |
2.1E+8 |
1.57E+4 |
9.8E+3 |
1E-03 |
|
g cm ms |
1000 |
100 |
1000 |
0.1 |
0.00001 |
10 |
0.001 |
2.1E+6 |
1.57 |
9.8E-4 |
1E-05 |
|
Kg mm ms |
1 |
1000 |
1000 |
0.001 |
1E-09 |
1 |
1E-9 |
2.1E+2 |
15.7 |
9.8E-3 |
1E-09 |
Conclusion:
Successfully converted SI system units to other unit system.