Challenge

Week - 1 - Consistency of Units

Aim:Write the given measurements in the above different system of units. Also, mention the conversion factors. The assignment should show detailed calculation for conversion from SI unit to gm/mm/ms unit system

Procedure:

1)Mass-1Kg=1000 gm

2)Length- 1m=1000 mm

3)Time-1sec=1000 ms

4)Force- F=Mass*Acceleration

=gm * mm/ ms2

=((kg/1000) *(m/1000))/ (s/1000)2

=kg*m/s2

=1N

5)Stress-S=Force/Area

=N/mm2

= N/ (m/1000)2

= MPa

6)Energy-E=N*mm

=N*(m/1000)

=mJ

7)Density=kg/m3

=e-6*g/mm3

8)Young's modulus=2.1e11*N/m2

=2.1e5*N/mm2

9)Velocity=15.65*m/s

=15.65*mm/ms

10)g=9.81*m/s2

=9.81e-3 mm/ms2

Mass Length Time Force Stress Energy Density Young's modulus Velocity g
Kg cm ms 1e4N 100MPa 1e-4J 1e-3 2.1e3 1.56 9.81e-4
Kg cm s 1e-2N 1e2Pa 1e-4J 1e-3 2.1e+9 1560 981
g cm s 1e-5 0.1Pa 1e-7J 1e3 2.1e12 1560 981
g cm ms e7N 100GPa 1e5J 1e3 2.1 1.56e-3 9.81e-10
g mm s 1e-6N Pa 1E-9J 1e-6 2.1e+7 1.56e+4 9810
kg mm s 1e-3N KPa 1e-6J 1e-6 2.1e+8 15650 9810
kg mm ms kN GPa J 1e-6 2.1e+21 15.65 9.81e-3
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