PHYS1001 Lecture Notes - Lecture 20: 30 Foot Fall, Mach Number, Fourier Analysis
Document Summary
The position of a particle x at time t is the same as the motion of the point x = 0 at an earlier time t x y(x, t) = acos[ ( x t)] v v. A wave travelling in the -x direction has the equation y = acos(kx + t) As long as the signs of the two terms in the trig function are the same, it describes a wave travelling in the -x direction. The wave equation d2y(x,t) = 1 d2y(x,t) dt2 dx2 v2. Is the linear density v = f in a 1d transverse wave on a string v = b in a longitudinal wave through some fluid. Which is why speed of sound through water is much faster than air because it is much less compressible. v = (cid:534)rt. Standing waves and harmonics f n = n v.
