The response and consequent sound radiation of a thin rectangular panel excited by convected boundary‐layer turbulence has been examined. By taking averages over a frequency band, and including many modes in this average, the detailed characteristics of the system are bypassed and only gross features such as panel modal density, ratio of radiation to total resistance, and the boundary‐layer characteristics are of interest. A large portion of the sound power is transmitted in the region of the hydrodynamic coincidence condition. The hydrodynamic coincidence frequency is the most important feature in determining the shape of the transmitted power spectrum, and the power law for the total power radiated. Good agreement between theory, and experiment serve to verify the basic assumptions of the theory.