Week - 1 - Consistency of Units

AIM:

To convert the given SI units into different systems of units.

OBJECTIVE:

1.To Convert the given SI units into different standard units.

2.To write the detailed factors involves in conversion for gm, mm, ms.

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

CALCULATION:

UNIT SYSTEM	gm mm ms	Conversion Factor
Mass	1000 gm	103
Length	1000 mm	103
Time	1000 ms	103
Force	1N = 1kg * 1m/s^2 = (1gmm *mm) / ms^2	1
Stress	1Pa = N/m^2 =10-6gm /(mm*ms^2)	10-6
Energy	1Nm = 1(kg*m^2/s^2) = 103 gmm*mm^2/ms^2	103
Density	1kg/m^3 = 1000gm/(1000mm*1000mm*1000mm) = 10-6gm/ms^3	10-6
Youngus Modulus 210GPa	210GPa = 210*109 *(N/m^2) = 210*103 gm/mm*ms^2	103
Velocity	1KMPH = 106mm /(3600*1000ms) 1KM = 106mm = 10/36 = 0..277mm/ms 1Hr = 3600 * 1000ms 56.33KMPH = 56.33*0.277 =15.64 mm/ms	5/18
Gravity 9.8m/s	1m/s^2 = 1000 mm/(1000ms * 1000ms) = 10-3 mm/ms^2 9.8m/s^2 = 9.8*10^-3 mm/ms^2	10-3

The calculation for conversion from SI unit for

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

References: LS Dyna Support link: https://www.dynasupport.com/howtos/general/consistent-units

Result:

Thus i learn to convert SI units and understand the factors involves in conversion.