# Speed of sound through a plate

1. Sep 13, 2010

### saurabh_2110

Speed of sound through a plate!!

Hi,

I wanted to know the formula for the transverse velocity and longitudinal velocity of sound through a rectangular plate.
Any help will be greatly appreciated!..

Thanks

2. Sep 13, 2010

### Staff: Mentor

Re: Speed of sound through a plate!!

What is the context? And what do you mean by transverse and longitudinal velocity?

3. Sep 13, 2010

### Dr Lots-o'watts

Re: Speed of sound through a plate!!

What is the plate made of? Seems like you're looking for numbers, not formulas.

4. Sep 14, 2010

### saurabh_2110

Re: Speed of sound through a plate!!

Well the plate could be made of any material. It would use the Young's modulus, poisson's ratio and density. I have some formulas but im not sure about them

Longitudnal = sqrt(E/(rho*(1-nu^2)))
Transverse (Bending) = ((2*pi*f)^2*B/rho/h)^(1/4)

where, E = Young's Modulus,
rho = density;
nu = poisson's ratio
f = frequency
B = Bending stiffness of plate

The context is that, I need these velocities to find sound transmission loss through a plate. These formulas weren't stated very explicitly, so I'm not quite sure...
Any help will be greatly appreciated!!

5. Sep 14, 2010

### Staff: Mentor

Re: Speed of sound through a plate!!

I googled speed of sound in solids, and got some pretty good hits. Check out the hit list to see if these are any help: