Aim: Aim of this challenege is to find the conversion factor, to convert the given values into required unit system.
Procedure:- Lets start with the unit system- gm/mm/ms. The value which we have to convert are-
MASS 1kg
To convert Kg to gm, we have to multiply it by 10^3, so conversion factor will be 10^3 and final value will be 10^3 gm
LENGTH 1m
To convert m to mm, we have to multiply it by 10^3, so conversion factor will be 10^3 and final value will be
=10^3 mm
TIME 1s
To convert s to ms, we have to multiply it by 10^3, so conversion factor will be 10^3 and final value will be
=10^3 ms
FORCE 1N
The SI unit of force is Kg-m/sec^2, so we have to convert kg to gm-(multiply by 10^3), m to mm- (multiply by 10^3) and sec to ms- (multiply by 10^3). So final conversion factor will be
= 10^3*10^3/(10^3^2) = 1
STRESS 1Pa
SI unit of stress is Kg/m-sec^2, so, converting kg to gm, m to mm and sec to ms, this gives the conversion factor of
= (1000/(1000*1000^2) = 10^-6
ENERGY 1Nm
SI unit of energy = kg-m^2/sec^2, so converting kg to gm, m to mm, and sec to ms, this gives conversion factor of
= 1000*1000^2/1000^2 = 10^3
DENSITY 1Kg/m3
SI unit of density is Kg/m^3, so converting kg to gm, m to mm
= 10^3*10^-9 = 10^-6
YOUNG'S Modulus 210GPa
SI unit of stress is Kg/m-sec^2, so, converting kg to gm, m to mm and sec to ms, this gives the conversion factor of
= (1000/(1000*1000^2) = 10^-6
= 210 * 10^9 * 10^-6
=210 * 10^3
Velocity 56.33KMPH
we have to convert KM to mm, hrs to ms
= 10^6 / (3600*1000)
= 0.27
final value will be = 0.27*56.33
= 15.201 mm/ms
GRAVITY 9.8m/s2
we have to convert m to mm, and sec to ms
= 1000/1000^2
= 10^-3
final value = 9.81 *10 ^-3 mm/ms^2
For rest of the values, the conversion factor with table is given below-