You are to conduct wind tunnel testing of a new football design that has a smaller lace height than previous designs. It is known that you will need to maintain Re and St similarity for the testing. Based on standard college quarterbacks, the prototype parameters are set at \(V=40 \mathrm{mph}\) and \(\omega=300 \mathrm{rpm}\), where \(V\) and \(\omega\) are the speed and angular velocity of the football. The prototype football has a 7-in. diameter. Due to instrumentation required to measure pressure and shear stress on the surface of the football, the model will require a length scale of 2:1 (the model will be larger than the prototype). Determine the required model freestream velocity and model angular velocity.