Week - 1 - Consistency of Units

AIM: Calculate the conversion factor units and assign the specified values in detail.

Objective:

Make a note of the data values that are presented.

Comprehensive calculation to convert the gm/mm/ms unit system from the SI unit system.
contents of the table showing the residual values following any necessary conversion from SI to different unit values.

Body of content:

So here we just simply have to convert the SI units according to the given measurement.

Measurements are as follows:

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 according to the given SI unit:

Kg cm ms

Kg cm s

gm 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

Now here we convert units accordingly.

1. Basic SI conversion

Mass: 1kg = 1000gm = 10^3 g

Length: 1m = 100 cm = 10000 mm = 10^3 mm

Time: 1s = 1000 ms = 10^3 ms

2. Force: 1N = 1×kg×(ms2)

= 1×(103g) ×103mm106ms2

Force: 1N = 1 gm*mm/ms^2

3. Stress: 1Pa = 1×(Nm2)

= 1×1gm×mmms2106mm

Stress: 1Pa = 10−6gmmm×ms2 = 10^-6 gm / mm*ms^2

4. Energy: 1Nm = 1×1gm×mmms2×103mm

Energy: 1Nm = 103gm×mm2ms2 = 10^3 gm * mm^2 * / ms^2

5. Density: 1KG/m^3 = 1×KGm3

= 1×103g109mm3

Density: 1KG/m^3 = 10−6gmm3 = 10^-6 g/mm^3

6. Young’s Modulus: 210GPa = 210×109×Pa

=210×109×Nm2

= 210×109×(1gm×mm106mm2×ms2)

Young’s Modulus = 210GPa = 210×103gmmm×ms2 = 210 x 10^3 gm/mm*ms^2

7. Velocity: 56.33 KMPH = 56.33×(KMhr)

= 56.33×106mm3600×(103ms)

Velocity: 56.33 KMPH = 15.647mmms = 15.647 mm/ms

8. Gravity: 9.8 m/s^2 = 9.8×ms2

= 9.8×103mm106ms

Gravity: 9.8 m/s^2 = 9.8×10−3mmms2 = 9.8*10^-3 mm/ms^2

Below is the table in excel format.

Conclusion

The process of translating the values from SI units to the necessary conversion units has been completed, and the results have been published in tabular form. A computation section for the "gm/mm/ms" is displayed.