A harmonic disturbance travelling through air is represented by the pressure variation
p(x,t)=p0+150cos(1400πt−14πx)Pa,
where p0=1.01×105Pa is the mean pressure.
(i) Determine the frequency of the sound wave.
(ii) Calculate its wavelength.
(iii) Compute the speed of sound implied by the above equation.
(iv) Using a suitable argument based on the phase term, decide whether the wave moves in the positive or negative x–direction.
(v) If a point at x=2.0m registers a maximum pressure at t=0, find the earliest subsequent time at which it again registers a maximum pressure.