You are to conduct wind tunnel testing of a new football design that has a smaller lace height than previous designs (see the videos a and b). 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 mph and ω = 300 rpm. 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 2.2: 1 (the model will be larger than the prototype). determine the required

(a) model freestream velocity and
(b) model angular velocity.