Problem 17: (4% of Assignment Value)
You have been hired by a professional musician as an interior designer. Your task is to design a very special enclosed rectangular glass shower stall. The specifications are based on which notes, when sung in the shower, will resonate. Your 1.9 meter tall client takes showers so that the air temperature is Thot = 30.4\deg C . Your client wants the shower stall to resonate precisely at f1 = 151 Hz, f2 = 187 Hz, and f3 = 402 Hz. Note that the stall is to be wider than it is deep, and that no dimension of the shower stall can be less than 50 cm. Assume that each dimension of the shower works like a resonance tube that is closed on both ends. Part (e)
At these frequencies, trained musicians can generally distinguish 2 notes whose ratio is larger than 1.00579 (10 cents). If your client decides to take a shower that is 10\deg C colder than that specified, what is the ratio of the hot to the cold resonant frequencies?
fh / fc =