Aperiodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.1e-05 m. the motion produces a sound wave that travels at a velocity of v = 340 m/s with a frequency of f = 35 hz. take the density of air as rhoa = 1.20 kg/m3.

wavelength=9.71m

wave number=k=0.64/m

angular velocity    ω=219.91rad/s

Explanation:

A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.1E-05 m. The motion produces a sound wave that travels at a velocity of v = 340 m/s with a frequency of f = 35 Hz. Take the density of air as rhoa = 1.20 kg/m3.

Parameters are

density= 1.20 kg/m3.

smax=3.1E-05 m

frequency of f = 35 Hz.

velocity of v = 340 m/s

v=f*wavelength

340=35*wavelength

wavelength=9.71m

wave number k

k=

k=2*3.14/9.71

k=0.64/m

Angular velocity

ω=

2*3.14*35

ω=219.91rad/s

true tan speed = ang vel x radius