Week - 1 - Consistency of Units
Aim:
To convert the SI unit Kg/m/s to gm/mm/ms as a detailed calculation and for remaining unit convert it and put the values in table.
Procedure:
| Mass 1kg | Length 1m | Time 1s | Force 1N | Stress 1Pa | Energy N-m | Density 1Kg/m3 | Youngs Modulus 210GPa | Velocity 56.33KmpH | Gravity 9.8m/s2 | |
| Formula | Centimetre = metre*100 | milliseconds = seconds * 1000 | 1kg=9.81N | 1 Pascal = 1 N/m2 | 1 Joule =1 N-m | Density = Mass/Volume | Velocity = speed /Time taken | |||
| Conversion Factor | 1kg | 10^2-cm 10^3-mm 1-m |
1000-ms 1-s |
1/9.81 from Newton to Kg |
0.1019/10^4 -kg/cm2, 0.1019/10^6 -kg/mm2, 0.1019 /1-kg/m2 |
0.1019*100 -kgcm 0.1019*1000 -kgmm 0.1019*1 -kgm |
0.1019/10^6 -kg/cm3 0.1019/10^9-kg/mm3 0.1019/1-kg/m3 |
(210*10^9)*0.1019/10^4 -kg/cm2, (210*10^9)*0.1019/10^6-kg/mm2 | 56.33*1000/3600 -mps, 56.33*10^6/3600 -mmps, 56.33*10^5/3600 -cmps, 56.33*10^5/3.6*10^6 -cmpms, 56.33*10^6/3.6*10^6 -mmpms | 9.8*1/1 -m/s2, 9.8*100/1-cm/s2, 9.8*1000/1 mm/s2, 9.8*100/10^6 cm/ms2, 9.8*1000/10^6 mm/ms2 |
| Kg Cm ms | 1 kg | 100 cm | 1000 ms | 0.1019 Kg | 0.00001019 kg/cm2 | 10.19 kg-cm | 0.0000001019 kg/cm3 | 0.0021399 G kg/cm2 | 1.56 Cmpms | 98*10^7 cm/ms2 |
| Kg Cm s | 1Kg | 100 Cm | 1 s | 0.1019Kg | 0.00001019 kg/cm2 | 10.19 kg-cm | 0.0000001019 kg/cm3 | 0.0021399 G kg/cm2 | 1564.72 CmPs | 980cm/s2 |
| Kg m s | 1 Kg | 1 | 1 s | 0.1019kg | 0.1019 kg/m2 | 0.1019 kg-m | 0.1019kg/m3 | 21.399 G N/m2 | 15.64 mps | 9.8 m/s2 |
| kg mm s | 1 Kg | 1000 mm | 1 s | 0.1019 Kg | 0.0000001019 Kg/mm2 | 101.9 kg-mm | 1.019e-10 kg/mm3 | 0.0000214 G N/mm2 | 15647.22 mmps | 9800 mm/s2 |
| kg mm ms | 1 Kg | 1000 mm | 1000 ms | 0.1019 Kg | 0.0000001019 Kg/mm2 | 101.9 kg-mm | 1.019e-10 kg/mm3 | 0.0000214 G N/mm2 | 15.64mmpms | 0.0098 mm/ms2 |
| Conversion Factor | 1000 gm | 10^2 -cm 10^3-mm | 1000-ms 1-s 1000000 -us | 0.1019*1000 | 101.9/10^4 -g/cm2, 101.9/10^6 -g/mm2, 101.9 /1-g/m2 | 101.9*100 -gcm 101.9*1000 -gmm 101.9*1 -gm | 101.9/10^6 -g/cm3 ,101.9/10^9-g/mm3, 101.9/1-g/m3 | (210*10^9)*101.9/10^4 -g/cm2, (210*10^9)*101.9/10^6-g/mm2 | 56.33*1000/3600 -mps, 56.33*10^6/3600 -mmps, 56.33*10^5/3600 -cmps, 56.33*10^5/3.6*10^6 -cmpms, 56.33*10^6/3.6*10^6 -mmpms 56.33*10^5/3.6E^9-cmpus | 9.8*1/1 -m/s2, 9.8*100/1-cm/s2, 9.8*1000/1 mm/s2, 9.8*100/10^6 cm/ms2, 9.8*1000/10^6 mm/ms2 9.8*100/10^12 cm/us |
| gm mm ms | 1000 | 1000 mm | 1000 ms | 101.9gm | 0.0001019 gm/mm2 | 101900 gm-mm | 0.0000001019 gm/mm3 | 0.021399 G gm/mm2 | 15.65 mmpms | 0.0098 mm/ms2 |
| g cm s | 1000gm | 100 cm | 1 s | 101.9g | 0.01019 g/cm2 | 10,190 g-cm | 0.0001019 g/cm3 | 2.14 G g/cm2 | 1564.7 cmps | 980 cm/s2 |
| g cm us | 1000gm | 100 cm | 1000000us | 101.9g | 0.01019 g/cm2 | 10,190 g-cm | 0.0001019 g/cm3 | 2.14 G g/cm2 | 0.0016 cmpus | 9.8e-10 cm/us2 |
| g mm s | 1000gm | 1000 mm | 1 s | 101.9g | 0.0001019 gm/mm2 | 101900 gm-mm | 0.0000001019 gm/mm3 | 0.021399 G gm/mm2 | 15647.22 mmps | 9800 mm/s2 |
| g cm ms | 1000gm | 100 cm | 1000 ms | 101.9g | 0.01019 g/cm2 | 10,190 g-cm | 0.0001019 g/cm3 | 2.14 G g/cm2 | 1.565 cmpms | 0.00098 cm/ms2 |
| Conversion Factor | 1000kg=1 ton | 10^3-mm | 1-s | 0.1019*0.001 | 0.0001019/1000000 ton/mm2 | 0.0001019*1000 ton-mm | 0.0011/10^9 ton/mm3 | (210*10^9)*0.0001019/10^6 ton/mm2 | 56.33*10^6/3600 mmps | 9.8*1000/1 mm/s2 |
| ton mm s | 0.0011 ton | 1000 mm | 1s | 0.0001019 ton | 1.01E^-10 ton/mm2 | 0.1019ton-mm | 1.2E^-12 ton/mm3 | 2.13E^-8 ton/mm2 | 15647.22 mmps | 9800 mm/s2 |
| Conversion Factor | 1kg=0.069 slug | 1 Metre = 3.28feet | 1-s | 1 newton =0.007slug | 0.007/10.76 slug/ft2 | 0.007*3.28 slug-metre | 0.068/(3.28)^3 slug/ft3 | (210*10^9)*0.007/10.76 - slug /ft2 | 56.33*1000*3.28 ftps | 9.8*3.28/1 ft/s2 |
| slug ft s | 0.069 | 3.28 ft | 1s | 0.0070311 slug | 0.00065 slug/ft2 | 0.02296 slug-metre | 0.0019 slug/ft3 | 13.6 *10^7slug/ft2 | 184,762.4 ftps | 32.14 ft/s2 |
Solution:
Detailed Conversion Represents - Kg/m/s to gm/mm/ms
| Mass 1kg | Length 1m | Time 1s | Force 1N | Stress 1Pa | Energy N-m | Density 1Kg/m3 | Youngs Modulus 210GPa | Velocity 56.33KmpH | Gravity 9.8m/s2 | |
| Formula | 1kg= 1000gm | Millimetre = metre*1000 | milliseconds = seconds * 1000 | 1kg=9.81N, 1N= 0.1019kg | 1 Pascal = 1 N/m2 | 1 Joule =1 N-m | Density = Mass/Volume | Youngs Modulus = Stress/Strain | Velocity = speed /Time taken | |
| Conversion Factor | 1000 gm | 10^3-mm | 1000-ms | 0.1019*1000 | 101.9/10^6 -gm/mm2 | 101.9*1000 -gmmm | 101.9/10^9-g/mm3 | (210*10^9)*101.9/10^6-g/mm2 | 56.33*10^6/3.6*10^6 -mmpms | 9.8*1000/10^6 mm/ms2 |
| gm mm ms | 1000 | 1000 mm | 1000 ms | 101.9gm | 0.0001019 gm/mm2 | 101900 gm-mm | 0.0000001019 gm/mm3 | 0.021399 G gm/mm2 | 15.65 mmpms | 0.0098 mm/ms2 |