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 w=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 2.3:1 (the model will be larger than the prototype). Determine the required (a) model freestream velocity and (b) model angular velocity. (a) Vm= (b) wm= ft/s rpm
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 w=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 2.3:1 (the model will be larger than the prototype). Determine the required (a) model freestream velocity and (b) model angular velocity. (a) Vm= (b) wm= ft/s rpm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 w=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 2.3:1 (the model will be larger than the prototype). Determine the required (a) model freestream velocity and (b) model angular velocity.
(a) Vm=
(b) wm=
ft/s
rpm
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