Week - 1 - Consistency of units
Objective- Write the given measurment according to thr=eir unit conversion system.
Value of the given parameters-
MASS 1kg
LENGTH 1m
TIME 1s
FORCE 1N
STRESS 1Pa
ENERGY 1Nm
DENSITY 1Kg/m3
YOUNG'S Modulus 210GPa
Velocity 56.33KMPH
GRAVITY 9.8m/s2
Unit Conversion Rules-
Mass----- 1kg= 1000 grms
Length----1m= 1000 mm
Time----1s= 1000ms
Unit conversion system-
Units---
| Units | MASS 1kg | LENGTH 1m | TIME 1s | FORCE 1N | STRESS 1Pa | ENERGY 1N/m | DENSITY 1kg/m^3 | YOUNGS MODULUS 210GPa |
VELOCITY 56.33kmph |
GRAVITY 9.81m/s^2 |
| Kg cm ms | 1kg | 100cm | 1000ms | 10^-4 kg.cm/ms^2 | 10^-8 kg/cm.ms^2 | 10^-2 kg.cm^2/ms^2 | 10^-6 kg/cm^2 |
210 kg/cm.ms^2 |
156.4 *10^-2 cm/ms | 9.8*10^-4 cm/ms^2 |
| Kg cm s | 1kg | 100cm | 1s | 10^2 kg.cm/s^2 | 10^-2 kg/cm.s^2 | 10^4 kg.cm^2/s^2 | 10^-6 kg/cm^2 |
210*10^7 kg/cm.s^2 |
15647.22 cm/s | 980 cm/m^2 |
| gm mm ms | 1000g | 1000mm | 1000ms | 1 g.mm/ms^2 | 10^-6 g/mm.ms^2 | 10^3 g.mm^2/ms^2 | 10^-6 g/mm^3 |
210000 g/mm.ms^2 |
15.64 mm/ms | 980 mm/ms^2 |
| kg m s | 1kg | 1m | 1s | kg.m/s^2 | kg/m.s^2 | kg.m^2/s^2 | 1kg/m^3 |
210*10^9 kg/m.s^2 |
15.64 m/s | 9.8m/s^2 |
| g cm s | 1000g | 100cm | 1s | 10^5 g.cm/s^2 | 10 g/cm.s^2 | 10^7 g.cm^2/s^2 | 10^-3 g/cm^2 |
210*10^10 g/cm.s^2 |
1564 cm/s | 9.8cm/s^2 |
| g cm us | 1000g | 100cm | 10^6 us | 10^-7 g.cm/us^2 | 10^-11 g/cm.us^2 | 10^-5 g.cm^2/us^2 | 10 g/cm^2 |
210*10^-2 g/cm.us^2 |
1564*10^-6 cm/us | 9.8*10^-10 cm/us^2 |
| g mm s | 1000g | 1000mm | 1s | 10^6 g.mm/s^2 | 1 g/mm.s^2 | 10^9 g.mm^2/s^2 | 10^-6 g/mm^2 |
210*10^9 g/mm.s^2 |
15647 mm/s | 9.8*10^3 mm/s^2 |
| ton mm s | 0.001ton | 1000mm | 1s | 1ton.mm/s^2 | 10^-6 ton/mm.s^2 | 10^3 ton.mm^2/s^2 | 10^-12 ton/mm^2 |
210*10^3 ton/mm.s^2 |
15647 mm/s | 9.8*10^3 mm/s^2 |
| slug ft s | 0.068slug | 3.28ft | 1s | 0.223slug.ft/s^2 | 0.020 slug/ft.s^2 | 0.731 slug.fit^2/s^2 | 1.92*10^-3 slug/ft^2 |
210*10^9 slug/ft.s^2 |
51.33 ft/s | 32.144 ft/s^2 |
| kg mm s | 1kg | 1000mm | 1s | 1000 kg.mm/s^2 | 10^-3 kg/mm.s^2 | 10^6 kg.mm^2/s^2 | 10^-9 kg/mm^2 |
210*10^6 kg/mm.s^2 |
15647.22 mm/s | 9.8*10^3 mm/s^2 |
| g cm ms | 1000g | 100cm | 1000ms | 0.1g.cm/ms^2 | 10^-5 g/cm.ms^2 | 10 g.cm^2/ms^2 | 10^-6 g/cm^2 |
210*10^4 g/cm.ms^2 |
1564*10^-3 cm/ms | 9.8*10^-4 cm/ms^2 |
| kg mm ms | 1kg | 1000mm | 1000ms |
10^-3 kg.mm/ms^2 |
10^-9 kg/mm.ms^2 | 1 kg.mm^2/ms^2 | 10^-9 kg/mm^2 |
210 kg/mm.ms^2 |
156476*10^-3 mm/ms | 9.8*10^-3 mm/ms^2 |