Week - 1 - Consistency of Units

• Objective: To convert the given data from S.I unit system to different unit system.

• Given data:

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

• Conversion from S.I units to g/mmm/ms units system

Mass:

1 Kg = 10³ g

Conversion factor: 10³

Length:

1 m = 10³ mm

Conversion factor:  10³

Time:

1 s = 10³ ms

Conversion factor: 10³

Force:

1N = 1kg x 1 m/s² (since F= ma)

 

Conversion factor: 1

Stress:

Conversion factor: 10^-6

Energy:

Conversion factor = 10³

Density:

Conversion factor = 10^-6

Young's modulus:

E = 210 GPa

  

Conversion factor = 10³

Velocity:

Conversion factor = 5/18

Gravity:

Conversion factor = 10^-3

Similarly, the S.I units are converted into other diffferent unit system as shown below:

• Thus, the given S.I unit system is converted into different unit system and the conversions are tabulated.