Max speed of the oscillation

Question

When a sound wave with a certain intensity is detected by the tympanic membrane (eardrum) the amplitude of the resultant motion is 1.0 nm (1.0 x 10^-9 m). If the frequency of the sound is 600 Hz what is the maximum speed of the membrane oscillation?

Answer 1

displacement = s = Asinwt where A is the amplitude and w= omega = radian frequency = 2pif

velocity = ds/dt =wAcoswt=v ... v(max) =wA = 2pif A = 2pi*600*1E-9=1.2pi *1E-6