Physics

Problem

A longitudinal wave is described by

y(x,t)=0.04\sin\bigl(8x-1200t+\tfrac{\pi}{3}\bigr)

(SI units). a. (i) Obtain an expression for the transverse velocity

v_y(x,t)

of a particle of the medium. b. (ii) Evaluate

v_y

x=0.25\,\text{m}

and

t=0.001\,\text{s}