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Objective Maintaining the unit consistency with varying unit systems. Finding the conversion factor for each different system. Assembling all systems to a table. MASS 1kg 1000g LENGTH 1m 1000mm TIME 1s 1000ms FORCE 1N F=mass*acceleration =>1kg*1m/s2 =>(1000g*1000mm)/(1000ms)2 =>10^6/10^6 g mm/ms2…
Amol Anandrao Kumbhar
updated on 20 Oct 2020
Objective
MASS 1kg
LENGTH 1m
TIME 1s
FORCE 1N
=>1kg*1m/s2
=>(1000g*1000mm)/(1000ms)2
=>10^6/10^6 g mm/ms2
=>1 g mm/ms2
PRESSURE 1PA
=> (1kg*1m/s2)/1M2
=>((1000g*1000mm)/(1000ms)2)/(1000mm)2
=>(g*mm/ms2) *mm-2)
=>1000g/ (1000)2ms2*1000mm
=>1*10-6g/ms2 mm
conversion factor is 10-6
ENERGY 1Nm=1 Joule
1N =1 g mm/ms2{above derivation}
1Joule => (1000g*1000mm/(1000ms)2) *1000mm
=>109g mm2/106ms2
=>109g mm2 *10-6 ms2
ANS =>103 g mm2/ms2
Conversion factor=103
DENSITY 1Kg/m3
=>1000g/(1000mm)3
=>g/(1000mm)2
Ans =>10-6g /mm2
Conversion factor=10-6
YOUNG'S Modulus 210GPa
1pa =>1*10-6g/ms2mm mm {above derivation}
1 Giga =>1*109
=> (1*10-6) *(1*109)
1Gpa =>1*103g/ms2 mm
210Gpa =>210*103 g/ms2mm
Conversion factor=10-3
Velocity 56.33KMPH
Velocity =Km/H
1Km =106mm
1 hour => 60 minutes
1 Minute =>60 seconds
=>60*60 seconds=3600 seconds
1ms =3600*1000
=>36*105
Km/H => (106)/ (36*105)
=0.277 Mm/ms
56.33Km/H =56.33*0.277
ANS =>15.60Mm/Ms
Conversion factor=1
GRAVITY 9.8m/s2
Gravity =M/s2
=>1000mm/(1000ms)2
=>1*10-3mm/ms2
9.8mm/ms2 =>9.8*10-3mm/ms2
ANS =>9.8*10-3mm/ms2
Conversion factor=1
THE CONVERSION FACTOR
Unit system=>Kg m s
Unit system=>kg cm ms
Unit system=> gm mm ms
Unit system=> gm cm s
Unit system=> g cm us
Unit system=> g mm s
Unit system=> ton mm s
Unit system=> slug ft s
Unit system=> kg mm s
Unit system=> g cm ms
Unit system=> kg mm ms
QUANTITIES |
Mass (Kg) |
LENGTH (m) |
TIME (S) |
FORCE (N) |
STRESS (Pa) |
ENERGY (Nm) |
DENSITY (Kg/m^3) |
YOUNG'S Modulus (GPA) |
Velocity (m/s) |
GRAVITY (m/s^2) |
SYSTEMS |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
210 |
56.33 |
9.81 |
kg m s |
1kg |
1m |
1s |
1kg*1m/s^2 |
1pa=kg/m*s^2 |
1Nm=1Joule =kg m^2/s^2 |
Kg/m^3 |
210e^+9kg/m s^2 |
15.64 m/s |
9.8 m/s^2 |
Kg cm ms |
1 kg |
10^2cm |
10^3ms |
1*10^-4kg cm/ms^2 |
1*10^8 kg/cm*ms^2 |
1*10^-3kg cm^2/ms^2 |
10^-6kg/cm^3 |
2100 kg/cm ms^2 |
1.564cm/ms |
9.8*10^-4 cm/ms^2 |
Kg cm s |
1kg |
10^2cm |
1s |
10^2 kg*cm/s^2 |
1*10^-3 kg/cm*s^2 |
10^4kgcm^2/s^2 |
10^-6kg/cm^3 |
210^e+7kg/cm s^2 |
1564 cm/s |
9.8*10^2cm/s^2 |
gm mm ms |
10^3gm |
10^3mm |
10^3ms |
1 gm*mm/ms^2 |
1*10^-6g/ms^2 mm |
10^3g mm2/ms2 |
10 ^-6g /mm^2 |
210*10^3 g/ms^2mm |
15.64mm/Ms |
9.8*10^-3mm/ms^2 |
g cm s |
10^3gm |
10^2cm |
1s |
10^5g*cm/s^2 |
10 g/cm*s^2 |
10^6g cm^2/s^2 |
10^-3g/cm^3 |
2.1*10^12g/cm s^2 |
1564 cm/s |
9.8*10^2cm/s^2 |
g cm us |
10^3gm |
10^2cm |
10^6us |
10^-7g*cm/us^2 |
10^-11g/cm*us^2 |
10^-5g cm^2/us^2 |
10^-3g/cm^3 |
2.1 g/cm us^2 |
15.6*10^-4 cm/us |
9.8*10^-10 cm/us^2 |
g mm s |
10^3gm |
10^3mm |
1s |
10^6g*mm/s^2 |
1 g/mm*s^2 |
10^9g mm^2/s^2 |
10^-6 g/mm^3 |
2.1*10^11g/mm s^2 |
1564mm/s |
9.8*10^3mm/s^2 |
ton mm s |
10^-3 ton |
10^3mm |
1s |
1 t/mm*s^2 |
10^-6 t/mm*s^2 |
10^3t *mm^2/s |
10^-12t/mm^3 |
210^e^+3t/mm s^2 |
15647 mm/s |
9.8*10^3mm/s^2 |
slug ft s |
0.068 slug |
3.28ft |
1s |
0.2246 slug/fts^2 |
0.0208 slug/s^2ft |
0.7366 slug*ft^2/s |
1.93*10-3 slug/ft^3 |
4.368e^+9slug/ft s^2 |
51.32 ft/s |
32.144 ft/s^2 |
kg mm s |
1kg |
10^3mm |
1s |
10^3kg*mm/s^2 |
10^-3kg/mm*s^2 |
10^6g mm^2/s^2 |
10^-9kg/mm^3 |
2.1*10^8 kg/mm s^2 |
1564mm/s |
9.8*10^ 3mm/s^2 |
g cm ms |
10^3gm |
10^2cm |
10^3ms |
1*10^-1g cm/ms^2 |
1*10^-5 g/cm*ms^2 |
10 g cm^2/ms^2 |
10^-3g/cm^3 |
2.1e^+6g/cm ms^2 |
1.56cm/ms |
9.8*10^ -4cm/ms^2 |
kg mm ms |
1kg |
10^3mm |
10^3ms |
10^-3kg*mm/ms^2 |
10^-9kg/mm*ms^2 |
1 kg mm^2/ms^2 |
10^-9kg/mm^3 |
2.10^e2kg/mm ms^2 |
15.647 mm/ms |
9.8*10 ^ -3 mm/ms^2 |
CONCLUSION
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