Unit conversion - stress-wave propagation speed

[omidd]

Dear Friends,

The stress-wave propagation speed is calculated using : sqrt (elastic modulus/density)
The unit of elastic modulus is GPa, and that of density is gram/cm^dim

Can anyone please tell me how I can convert the resulting value to m/s (meter/second)?

Regards

 

[SteamKing]

Dear Friends,

The stress-wave propagation speed is calculated using : sqrt (elastic modulus/density)
The unit of elastic modulus is GPa, and that of density is gram/cm^dim

Can anyone please tell me how I can convert the resulting value to m/s (meter/second)?

Regards

I'm not sure what cm^dim is.

Any density given in g / cc can also be converted to kg / m³

Pascals are derived units. Write pascals in terms of basic units and see what's left after dividing by density.

 

[Frabjous]

Using these units (GPa and gm/cc) the velocity is in km/s so multiply by 1000

 

[mfb]

Using these units (GPa and gm/cc) the velocity is in km/s so multiply by 1000

Instead of learning 20 different cases, it is easier to learn how to convert units in general:

GPa = 10⁹ Pa
kg = 1000 g
m = 100 cm, which implies m³ = 100³ cm³
All those are universal SI prefixes.

Pa = N/m²

If you plug in your units, convert them and simplify, you'll naturally get the correct result.