Week - 1 - Consistency of Units
| Important conversion factors and Unit Equivalency | ||||
| Given Unit to Alternate Unit | Factor | |||
| Kilogram (Kg) to gram (g) | 1.000E+03 | |||
| Kilogram (Kg) to tonne (ton) | 1.000E-03 | |||
| Kilogram (Kg) to Slug (slug) | 6.852E-02 | |||
| kilometer (km) to meter (m) | 1.000E+03 | |||
| meter (m) to centimeter (cm) | 1.000E+02 | |||
| meter (m) to milliimeter (mm) | 1.000E+03 | |||
| meter (m) to foot (ft) | 3.281E+00 | |||
| second (s) to millisecond (ms) | 1.000E+03 | |||
| second (s) to microsecond (us) | 1.000E+06 | |||
| hour (hr) to second (s) | 3.600E+03 | |||
| Newton (N) to (Kg-m/s^2) | 1.000E+00 | |||
| Pascal (Pa) to Newton/meter^2 (N/m^2) | 1.000E+00 | |||
| GigaPascal (Gpa) to Pascal (Pa) | 1.000E+09 | |||
| Measurements | Conversion Calculation to gram (g) , millimeter (mm) , millisecond (ms) System of Units | ||||||||
| Dimension | Unit | Value | Calculation Detail | ||||||
| Mass | Kg | 1 | 1 (Kg)*1000 (g/Kg) = 1000 (g) | ||||||
| Length | m | 1 | 1 (m)*1000 (mm/m) = 1000 (mm) | ||||||
| Time | s | 1 | 1 (s)*1000 (ms/s) = 1000 (ms) | ||||||
| Force | N | 1 | 1 (N)*1 (Kg-m/s^2/N)*1000 (g/Kg)*1000 (mm/m)*1/1000^2 (s/ms)^2 = 1.0 (g-mm/ms^2) | ||||||
| Stress | Pa | 1 | 1 (Pa)*1 (Kg/s^2/m/Pa)*1000 (g/Kg)*1/1000 (m/mm)*1/1000^2 (s/ms)^2 = 1.0E-06 (g/ms^2/mm) | ||||||
| Energy | N-m | 1 | 1 (Nm)*1 (Kg-m^2/s^2/N)*1000 (g/Kg)*1000^2 (mm/m)^2*1/1000^2 (s/ms)^2=1.0E+03 (g-mm^2/s^2) | ||||||
| Density | Kg/m^3 | 1 | 1 (Kg/m^3)*1000 (g/Kg)*1/1000^3 (m/mm)^3 = 1E-06 (g/mm^3) | ||||||
| Youngs | Gpa | 210 | 210 (Gpa)*10^9 (Pa/Gpa)**1 (Kg/s^2/m/Pa)*1000 (g/Kg)*1/1000 (m/mm)*1/1000^2 (s/ms)^2 = 2.10E+05 (g/ms^2/mm) | ||||||
| Velocity | Km/hr | 56.33 | 56.33 (Km/hr)*1000 (m/Km)*1000 (mm/m)*1/3600 (hr/s)*1/1000 (s/ms) = 1.565E+01 (mm/ms) | ||||||
| Gravity | m/s^2 | 9.8 | 9.8 (m/s^2)*1000 (mm/m)*1/1000^2 (s/ms)^2 = 9.8E-03 (mm/ms^2) | ||||||
| Measurements | System of Units expressed in terms of MASS LENGTH TIME | ||||||||||||||
| Dimension | Unit | Value | Kg cm ms | Kg cm s | g mm ms | Kg m s | g cm s | g cm us | g mm s | ton mm s | slug ft s | Kg mm s | g cm ms | Kg mm ms | |
| Mass | Kg | 1 | 1.000E+00 | 1.000E+00 | 1.000E+03 | 1.000E+00 | 1.000E+03 | 1.000E+03 | 1.000E+03 | 1.000E-03 | 6.852E-02 | 1.000E+00 | 1.000E+03 | 1.000E+00 | |
| Length | m | 1 | 1.000E+02 | 1.000E+02 | 1.000E+03 | 1.000E+00 | 1.000E+02 | 1.000E+02 | 1.000E+03 | 1.000E+03 | 3.281E+00 | 1.000E+03 | 1.000E+02 | 1.000E+03 | |
| Time | s | 1 | 1.000E+03 | 1.000E+00 | 1.000E+03 | 1.000E+00 | 1.000E+00 | 1.000E+06 | 1.000E+00 | 1.000E+00 | 1.000E+00 | 1.000E+00 | 1.000E+03 | 1.000E+03 | |
| Force | N | 1 | 1.000E-04 | 1.000E+02 | 1.000E+00 | 1.000E+00 | 1.000E+05 | 1.000E-07 | 1.000E+06 | 1.000E+00 | 2.248E-01 | 1.000E+03 | 1.000E-01 | 1.000E-03 | |
| Stress | Pa | 1 | 1.000E-08 | 1.000E-02 | 1.000E-06 | 1.000E+00 | 1.000E+01 | 1.000E-11 | 1.000E+00 | 1.000E-06 | 2.089E-02 | 1.000E-03 | 1.000E-05 | 1.000E-09 | |
| Energy | N-m | 1 | 1.000E-02 | 1.000E+04 | 1.000E+03 | 1.000E+00 | 1.000E+07 | 1.000E-05 | 1.000E+09 | 1.000E+03 | 7.376E-01 | 1.000E+06 | 1.000E+01 | 1.000E+00 | |
| Density | Kg/m^3 | 1 | 1.000E-06 | 1.000E-06 | 1.000E-06 | 1.000E+00 | 1.000E-01 | 1.000E-03 | 1.000E-06 | 1.000E-12 | 1.940E-03 | 1.000E-09 | 1.000E-03 | 1.000E-06 | |
| Youngs | Gpa | 210 | 2.100E+03 | 2.100E+09 | 2.100E+05 | 2.100E+11 | 2.100E+12 | 2.100E+00 | 2.100E+11 | 2.100E+05 | 4.386E+09 | 2.100E+08 | 2.100E+06 | 2.100E+02 | |
| Velocity | Km/hr | 56.33 | 1.565E+00 | 1.565E+03 | 1.565E+01 | 1.565E+01 | 1.565E+03 | 1.565E-03 | 1.565E+04 | 1.565E+04 | 5.134E+01 | 1.565E+04 | 1.565E+00 | 1.565E+01 | |
| Gravity | m/s^2 | 9.8 | 9.800E-04 | 9.800E+02 | 9.800E-03 | 9.800E+00 | 9.800E+02 | 9.800E-10 | 9.800E+03 | 9.800E+03 | 3.215E+01 | 9.800E+03 | 9.800E-04 | 9.800E-03 | |