As one of Elon Musk's top engineers, you have been tasked to determine the heat transfer rate into the side of one of his newly designed rockets.

You know that the nose cone of the rocket will reach a surface temperature (T_surface) of 2700^oC upon re-entry into the Earth's atmosphere. Cold air at a temperature (T_air) of -50^oC flows over the nose cone having a surface area of 20m². The convective heat transfer coefficient, h is 75 w/m^2oC.

Calculate: The heat transfer rate, "q" in watts going into the side of the rocket. (give the equation and calculation)