Week - 1 - Consistency of Units

Aim:

To convert the given measurements in the given different system of units and also mention their conversion factors.

Procedure:

The conversion of SI unit to gm/mm/ms system for the given measurement is as follows:

1. Conversion from SI Unit to gm/mm/ms system
   • Mass = 1 kg = 1000 gm
   • Length = 1 m = 1000 mm
   • Time = 1s = 1000ms
   • Force = 1 N = (1*1000 g)*(1*1000mm)/(1*1000ms)² = 1 (g*mm)/ms²
   • Stress = 1Pa = (1*1000 g)/(1*1000mm)*(1*1000ms)² = 10^-6 g/mm-ms²
   • Energy = 1 Nm = (1*1000 g)*(1*1000mm)²/(1*1000ms)² = 10³ gm-mm²/ms²
   • Density = 1 kg/m³ = (1*1000 g)/(1*1000mm)³ = 10^-6 g/mm³
   • Youngs modulus = 1 GPa = 10⁹ *10^-6 g/mm-ms² = 10³ g/mm-ms²
   • Velocity = 1 km/hr = (1*10⁶ mm)/(60*60*1000) = 0.277 mm/ms
   • Gravity = 9.81 m/s² = 9.81*(1*1000mm)/(1*1000ms)² = 9.81*10^-3 mm/ms²

2. Given measurements converted into different units
   

3. Conversion factor:
   

Conclusion:

The given measurements have been converted the given different system of units and also their conversion factors have been mentioned.