Week - 1 - Consistency of Units
Objective - Convert SI unit system values to different unit systems and prepare a consistent report also find a Conversion factor for various parameters.
Given Measurements –
Mass = 1Kg
Length = 1m
Time = 1s
Force = 1N
Stress = 1Pa
Energy = 1Nm
Density = 1Kg/m3
Young’s Modulus = 210 GPa
Velocity = 56.33 Kmph
Gravity = 9.8 m/s2
SI Unit System - Kg m s
|
Unit System |
Mass |
Length |
Time |
Force |
Stress |
Energy |
Density |
Young’s Modulus |
Velocity |
Gravity |
|
Kg m s |
1 Kg |
1 m |
1 s |
1 N |
1 Pa |
1 N-m |
1 Kg/m3 |
2.1E^9 N/m2 |
15.6472 m/s |
9.8 m/s2 |
|
Kg cm ms |
1 Kg |
100 cm |
1000 ms |
10E^-4 Kg-cm/ms2 |
10E^-8 Kg/cm-ms2 |
10E^-2 Kg-cm2/ms2 |
10E^-6 Kg/cm3 |
21 Kg/cm-ms2 |
1.56472 cm/ms |
9.8*10^-4 cm/ms2 |
|
Kg cm s |
1 Kg |
100 cm |
1 s |
100 Kg-cm/s2 |
10E^-2 Kg/cm-s2 |
10E^4 Kg-cm2/s2 |
10E^-6 Kg/cm3 |
2.1E^7 Kg/cm-s2 |
1564.72 cm/s |
980 cm/ss |
|
gm mm ms |
1000 gm |
1000 mm |
1000 ms |
1 gm-mm/ms2 |
10E^-6 gm/mm-ms2 |
10E^3 gm-mm2/ms2 |
10E^-6 gm/mm3 |
2.1E^3 gm/mm-ms2 |
15.6472 mm/ms |
9.8*10^-3 mm/ms2 |
|
gm cm s |
1000 gm |
100 cm |
1 s |
10E^5 gm-cm/s2 |
10 gm/cm-s2 |
10E^7 gm-cm2/s2 |
10E^-3 gm/cm3 |
2.1E^10 gm/cm-s2 |
1564.7 cm/s |
980 cm/ss |
|
gm cm us |
1000 gm |
100 cm |
10E^6 us |
10E^-7 gm-cm/us2 |
10E^-11 gm/cm-us2 |
10E^-5 gm-cm2/us2 |
10E^-3 gm/cm3 |
2.1 gm/cm-us2 |
1.56472E^-3 cm/us |
9.8*10^-10 cm/us2 |
|
gm mm s |
1000 gm |
1000 mm |
1 s |
10E^6 gm-mm/s2 |
1 gm/mm-s2 |
10E^9 gm-mm2/s2 |
10E^-6 gm/mm3 |
2.1E^11 gm/mm-s2 |
15647 mm/s |
9.8*10^3 mm/s2 |
|
ton mm s |
10^-3 tonne |
1000 mm |
1 s |
1 tonne-mm/s2 |
10E^-6 tonne/mm-s2 |
10E^3 tone-mm2/s2 |
10E^-12 tonne/mm3 |
2.1E^5 tonne/mm-s2 |
15647 mm/s |
9.8*10^3 mm/s2 |
|
Slug ft s |
0.068 slug |
3.28 ft |
1 s |
0.2246 slug-ft/s2 |
0.0208 slug/ft-s2 |
0.7366 slug-ft2/s2 |
1.93*10^-3 slug/ft 3 |
4.368E^9 slug/ft-s2 |
51.322 ft/s |
32.144 ft/s2 |
|
Kg mm s |
1 Kg |
1000 mm |
1 s |
1000 Kg-mm/s2 |
10^-3 Kg/mm-s2 |
10E^6 Kg-mm2/s2 |
10E^-9 Kg/mm3 |
2.1E^8 Kg/mm-s2 |
15647 mm/s |
9.8*10^3 mm/s2 |
|
gm cm ms |
1000 gm |
100 cm |
1000 ms |
0.1 gm-cm/ms2 |
10^-5 gm/cm-ms2 |
10 gm-cm2/ms2 |
10E^-3 gm/cm3 |
2.1E^6 gm/cm-ms2 |
1.5647 cm/ms |
9.8*10^-4 cm/ms2 |
|
Kg mm ms |
1 Kg |
1000 mm |
1000 ms |
10E^-3 Kg-mm/ms2 |
10^-9 Kg/mm-ms2 |
1 Kg-mm2/ms2 |
10E^-9 Kg/mm3 |
210 Kg/mm-ms2 |
15.647 mm/ms |
9.8*10^-3 mm/ms2 |
Conversion to Kg cm ms
Mass = 1Kg = 1Kg
Conversion Factor = 1
Length = 1m = 100cm
Conversion factor = 100
Time = 1s = 1000ms
Conversion factor = 1000
Force = 1N = 1 Kg-m/s2 = 100/(1000*1000) = 10E^-4 Kg-cm/ms2
Conversion factor = 10E^-4
Stress = 1 Pa = 1N/m2 = 10E^-4/(100*100) N/cm2 = 10E^-8 Kg/cm-ms2
Conversion Factor= 10E^-8
Energy = 1N-m = 10E^-4*100 N-cm = 10E^-2 Kg-cm2/ms2
Conversion Factor = 10E^-2
Density = 1Kg/m3 = 1/(100*100*100) Kg/cm3 = 10E^-6Kg/cm3
Conversion = 10E^-6
Young’s Modulus = 210 GPa = 2.1E^9 Pa = 2.1E^9 N/m2 = 2.1E^5/(100*100) Kg/cm-ms2 = 21 Kg/cm-ms2
Conversion Factor = 0.1
Velocity = 56.33 Kmph = (56.33*100000)/3600000 cm/ms = 1.56472 cm/ms
Conversion Factor = 0.027
Gravity = 9.8 m/s2 = (9.8*100)/(1000*1000) cm/ms2 = 9.8*10^-4
Conversion Factor = 10E^-4
Conversion to Kg cm s
Mass = 1Kg = 1Kg
Conversion Factor = 1
Length = 1m = 100cm
Conversion factor = 100
Time = 1s = 1s
Conversion factor = 1
Force = 1N = 1 Kg-m/s2 = 1*100/1 = 100 Kg-cm/s2
Conversion factor = 100
Stress = 1 Pa = 1N/m2 = 100/(100*100) N/cm2 = 10E^-2 Kg/cm-s2
Conversion Factor= 10E^-2
Energy = 1N-m = 100*100 N-cm = 10E^4 Kg-cm2/s2
Conversion Factor = 10E^4
Density = 1Kg/m3 = 1/(100*100*100) Kg/cm3 = 10E^-6Kg/cm3
Conversion = 10E^-6
Young’s Modulus = 210 GPa = 2.1E^9 Pa = 2.1E^9 N/m2 = 2.1E^11/(100*100) Kg/cm-s2 =2. 1E^7 Kg/cm-s2
Conversion Factor = 10E^7
Velocity = 56.33 Kmph = (56.33*100000)/3600 cm/s = 1564.72 cm/s
Conversion Factor = 27.77
Gravity = 9.8 m/s2 = (9.8*100)/1 cm/s2 = 980 cm/s2
Conversion Factor = 100
Conversion to gm mm ms
Mass = 1Kg = 1000g
Conversion Factor = 1000
Length = 1m = 1000mm
Conversion factor = 1000
Time = 1s = 1000ms
Conversion factor = 1000
Force = 1N = 1 Kg-m/s2 = 1000*1000/(1000*1000) = 1 gm-mm/ms2
Conversion factor = 1
Stress = 1 Pa = 1N/m2 = 1/(1000*1000) gm/mm-ms2 = 10E^-6 gm/mm-ms2
Conversion Factor= 10E^-6
Energy = 1N-m = 1*1000 N-mm = 10E^3 gm-mm2/ms2
Conversion Factor = 10E^3
Density = 1Kg/m3 = 1000/(1000*1000*1000) Kg/cm3 = 10E^-6 gm/mm3
Conversion = 10E^-6
Young’s Modulus = 210 GPa = 2.1E^9 Pa = 2.1E^9 N/m2 = 2.1E^9/(1000*1000) gm/mm-s2 = 2. 1E^3 gm/mm-ms2
Conversion Factor = 10E^3
Velocity = 56.33 Kmph = (56.33*1000000)/3600000 mm/ms = 15.6472 mm/ms
Conversion Factor = 0.2777
Gravity = 9.8 m/s2 = (9.8*1000)/(1000*1000) mm/ms2 = 9.8*10^-3 mm/ms2
Conversion Factor = 10E^-3
Conversion to Kg m s
Mass = 1Kg
Conversion Factor = 1
Length = 1m
Conversion factor = 1
Time = 1s
Conversion factor = 1
Force = 1N = 1 Kg-m/s2
Conversion factor = 1
Stress = 1 Pa = 1N/m2
Conversion Factor= 1
Energy = 1N-m
Conversion Factor = 1
Density = 1Kg/m3
Conversion = 1
Young’s Modulus = 210 GPa = 2.1E^9 Pa = 2.1E^9 N/m2
Conversion Factor = 10E^9
Velocity = 56.33 Kmph = (56.33*1000)/3600 m/s = 15.6472 m/s
Conversion Factor = 0.2777
Gravity = 9.8 m/s2
Conversion Factor = 1
Conversion to gm cm s
Mass = 1Kg = 1000 gm
Conversion Factor = 1000
Length = 1m = 100 cm
Conversion factor = 100
Time = 1s
Conversion factor = 1
Force = 1N = 1 Kg-m/s2 = 1000*100/12 = 10E^5 gm-cm/s2
Conversion factor = 10E^5
Stress = 1 Pa = 1N/m2 = 10E^5/(100*100) gm/cm2s2 = 10 gm/cm2s2
Conversion Factor= 10
Energy = 1N-m = 10E^5*100 gm-cm2/s2 = 10E^7 gm-cm2/s2
Conversion Factor = 10E^7
Density = 1Kg/m3 = 1000/(100*100*100) g/cm3 = 10E^-3
Conversion = 10E^-3
Young’s Modulus = 210 GPa = 2.1E^9 Pa = 2.1E^9 N/m2 = 2.1E^5/(100*100) gm/cm2s2 = 21 gm/cm2s2
Conversion Factor = 0.1
Velocity = 56.33 Kmph = (56.33*100000)/3600 cm/s = 1564.72 mm/ms
Conversion Factor = 27.77
Gravity = 9.8 m/s2 = 9.8*100/12 cm/s2 = 980 cm/s2
Conversion Factor = 100
Conversion to gm cm s
Mass = 1Kg = 1000 gm
Conversion Factor = 1000
Length = 1m = 100 cm
Conversion factor = 100
Time = 1s
Conversion factor = 1
Force = 1N = 1 Kg-m/s2 = 1000*100/12 = 10E^5 gm-cm/s2
Conversion factor = 10E^5
Stress = 1 Pa = 1N/m2 = 10E^5/(100*100) gm/cm2s2 = 10 gm/cm2s2
Conversion Factor= 10
Energy = 1N-m = 10E^5*100 gm-cm2/s2 = 10E^7 gm-cm2/s2
Conversion Factor = 10E^7
Density = 1Kg/m3 = 1000/(100*100*100) g/cm3 = 10E^-3
Conversion = 10E^-3
Young’s Modulus = 210 GPa = 2.1E^9 Pa = 2.1E^9 N/m2 = 2.1E^5/(100*100) gm/cm2s2 = 21 gm/cm2s2
Conversion Factor = 0.1
Velocity = 56.33 Kmph = (56.33*100000)/3600 cm/s = 1564.72 mm/ms
Conversion Factor = 27.77
Gravity = 9.8 m/s2 = 9.8*100/12 cm/s2 = 980 cm/s2
Conversion Factor = 100