Question

Pre-Lab for LAB#11 Waves in air may be represented by oscillations of air molecules or of air pressure. When representing standing waves in air, displacement nodes correspond to pressure antinodes (places of greatest pressure variation), and displacement antinodes correspond to pressure nodes (places of least pressure variation). Problem Consider a pipe that is closed at one end. Sketch the standing wave pattern in each of the following situations to show the regions of greatest and least air pressure variations (pressure antinodes and nodes, which are different from displacement antinodes and nodes). Then formulate equations that relate the wavelength i and frequency f to the length L of the pipe. a) Tube with one open end ("closed tube"): fundamental. 2 = f = b)Tube with one open end ("closed tube”): first overtone (3rd harmonic). = fs = c) Find the ratio of the first overtone and fundamental frequencies: f/f. d) Tube with both ends open ("open tube"): fundamental. 2 = fi e) Tube with both ends open ("open tube”): first overtone (2nd harmonic). in = f2 = f) Find the ratio between fundamental and first overtone frequencies: f2/f =

Answer 1

사 데43 특 v V AL < 3rd Marmonic 이 출뷰 K 34 L L - =4L 다 옮 교 23V 4 c) ty 3rd Harronile overtone t 3r 4 L ed 못 = r V AL १९८१ [두 온 1 = 7 (17FY] [ = 1 v 21 ℓ) 서 Harronic da [ , - 2] } CS Scanned with Cam Scanner