Under certain conditions, wind blowing past a rectangular speed limit Sign can cause the sing to oscillate with a frequency omega. Assume that omega is a function of the Sign width, b, Sign height, h, wind velocity, V, air density p, and an elastic constant, K, for the supporting pole. Hint: The constant, k, has dimensions of [force x length]. (i) How many (non-dimensional) Pi-groups are there? (ii) Find these non-dimensional groups. (iii) Can one of the pi-groups be considered a Reynolds number?
image: SPEED LIMIT 25