Determining energy delivered from critical angle

AI Thread Summary
The discussion revolves around calculating the critical angle at the urine-kidney stone interface and estimating the energy delivered to the stone by an ultrasound shock wave. The critical angle was calculated as 22° using the velocities of sound in urine and the stone. However, the user is uncertain about how to proceed with determining the energy delivered to the stone. They seek guidance on relevant equations, particularly the transmission coefficient, to facilitate this calculation. Understanding these concepts is essential for accurately estimating the energy transfer in this scenario.
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Q. An ultrasound shock wave is incident on a kidney stone which is immersed in urine. Using the data below, calculate the critical angle at the urine-kidney stone interface, and thus estimate the energy that will be delivered to the spherical stone. Assume intensity is uniform across the stone.

\rho_{urine} = 1000kg/m^{3},<br /> c_{urine} = 1000m/s,<br /> \rho_{stone} = 2000kg/m^{3},<br /> c_{stone} = 4000m/s
Diameter of kidney stone d = 10mm
RMS intensity of shock wave I_{rms}=200MW/m^{2}

Attempt at an answer
I have been able to do the first part of the question. I calculated the critical angle as \theta_{c}=arcsin(c_{urine}/c_{stone})=22°

However, I don't know how to go from this to determining the energy delivered.

Thanks for any input.
 
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I don't know enough to answer the question, but I can see that you are missing some relevant equations. Do you have one for transmission coefficient?
 

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