4. Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency w (see Fig.). Assume that w 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. The constant, k, has dimensions of Nm. (a) Develop a suitable set of pi terms for this problem using b, V, and p as repeating variables. (b) List all the other possible combinations of repeating variables that could have been utilized for this problem. SPEED LIMIT 40
4. Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency w (see Fig.). Assume that w 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. The constant, k, has dimensions of Nm. (a) Develop a suitable set of pi terms for this problem using b, V, and p as repeating variables. (b) List all the other possible combinations of repeating variables that could have been utilized for this problem. SPEED LIMIT 40
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Transcribed Image Text:4. Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign
to oscillate with a frequency w (see Fig.). Assume that w 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. The
constant, k, has dimensions of Nm.
(a) Develop a suitable set of pi terms for this problem using b, V, and p as repeating variables.
(b) List all the other possible combinations of repeating variables that could have been utilized for
this problem.
SPEED
LIMIT
40
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