7.34 A model propeller 1 m in diameter is tested in a wind tunnel.

Air approaches the propeller at 50 m s when it rotates at 1800 rpm.

The thrust and torque measured under these conditions are 100 N and 10 N m, respectively. A prototype eight times as large as the model is to be built. At a dynamically similar operating point, the approach air speed is to be 130 m s. Calculate the speed, thrust, and torque of the prototype propeller under these conditions, neglecting the effect of viscosity but including density.