What is the direction of oscillations of the particle of the medium through which a longitudinal wave is propagating ?

State the properties of the medium through which mechanical waves can be propagated.

The equation of a travelling plane sound wave has the form y=60 cos (1800t-5.3x) , where y is in micrometres, t in seconds and x in metres. Find (a). The ratio of the displacement amplitude with which the particle of the medium oscillate to the wavelength, (b).the velocity oscillation ammplitude of particles of the medium and its ratio to the wave propagation velocity , (c ).the oscillation amplitude of relative deformation of the medium and its relation to the velocity oscillation amplitude of particles of the medium, (d). the particle acceleration amplitude.

A plane wave xi = a cos ( omega t- kx) propagates in a homongeneous elastic medium, For the moment t=0 draw (a) the plots of xi, delta xi // delta t, and delta xi // deltax vs x, (b) velocity medium direction of the particle of the medium at the points where xi = 0 , for the cases of longitudinal and transverse waves, (c) the approximate plot of density distribution rho (x) of the medium for the case of longitudinal waves.

What are the effects of propagation of earthquake waves on the rock mass through which they travel?

In transverse wave, the contituent particles of the medium oscillate

What is the angle between the particle velocity and wave velocity in longitudinal waves and in transverse ?

The equation of a plane standing wave in a homogeneous elastic medium has the form xi= a cos kx. Cos omegat . Plot : (a) xi and delta xi // delta x as functions of x at the moments t=0 and t=T//2 , where T is the oscillation period, (b) the distribution of density rho(x) of the medium at the moments t=0 and t=T//2 in the case of longitudinal oscillation , (c) the velocity distribution of particles of the medium at the moment t=T//4 , indicate the directions of velocities at the antinodes, both for longitudinal and transverse oscillation.