A model propeller \(1 \mathrm{~m}\) in diameter is tested in a wind tunnel. Air approaches the propeller at \(50 \mathrm{~m} / \mathrm{s}\) when it rotates at \(1800 \mathrm{rpm}\). The thrust and torque measured under these conditions are \(100 \mathrm{~N}\) and \(10 \mathrm{~N} \cdot \mathrm{m}\), 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 \(130 \mathrm{~m} / \mathrm{s}\). Calculate the speed, thrust, and torque of the prototype propeller under these conditions, neglecting the effect of viscosity but including density.