Speed of sound in steel dependance on temperature

[Karlos]

Hello,

Nice easy question for you all today:

I would like to know how the speed of sound in steel varies with temperature. A google search didnt reveal a great deal, so if a physicist could confirm the relationship, that would be much appreciated.

I know that: v = √shear modulus/density

However, I am also aware that both shear modulus and density ought to decrease with increasing temperature.

So I suppose its a matter of which one decreases by the largest fraction for a given temperature rise! I don't know the answer.

So...does the speed of sound in steel increase or decrease with increasing temeprature?

A secondary question...is there any dependence on frequency? (ultrasound vs low freq for example)

Thank you for your time.

 

[sophiecentaur]

You could look up the temperature coefficients of those two quantities in steel and plot yourself a graph. You have the correct formula.
I think this link could be useful for dispersion information.