PHYSICS 1A03 Lecture Notes - Lecture 22: Wave Vector, Particle Displacement, Sound

• School: McMaster University
• Department: Physics
• Course: PHYSICS 1A03
• Professor: S. Cormier, K. Dalnoki-Veress

Document Summary

*sound wave -> in terms of particle displacement or pressure. Pressure is proportional to the density of particles. Displacement and pressure are related, but out of phase. *fixed boundary -> displacement node & pressure anti-node. *free boundary -> displacement anti-node & pressure node. Wave vector k: k = (cid:2870)(cid:3090) =(cid:2870) y(x,t) = a sin(kx t) y(x,t) = 4sin((cid:2870)x t) The tension of a rope and its mass influence the wave speed c = (cid:3091) t -> tension in the rope (cid:2020) -> mass density (mass per length) The pile is 25cm long and is open at both ends. Take the speed of sound in the pipe to by 340m/s. L=1. 5 (cid:2019) -> (cid:2019)=(cid:2870)(cid:2871)l = (cid:2870)(cid:2871)(0. 25m) f =(cid:3090)= (cid:3118)(cid:3119)=(cid:2871)(cid:2870)=(cid:2871)(cid:4666)(cid:2871)(cid:2872)(cid:2868)(cid:4667) (cid:2870)(cid:4666)(cid:2868). (cid:2870)(cid:2873)(cid:4667)=2040 hz. An empty bottle is to be used as a musical instrument in a band. In order to be tuned properly, the fundamental frequency of the bottle must be 440. 0 hz.