Answer to Question #105304 in Electricity and Magnetism for Ali hamza

Question

The waves near the deep end of the wave pool in the chapter photo have amplitude of 0.50
m. For the 0.40-Hz waves. What is the maximum vertical speed of a swimmer floating on the surface?
What is the maximum vertical acceleration experienced by that swimmer?

Answer 1

$\rvert v_{max}\rvert=A\cdot \omega=A\cdot2\pi\nu=0.5\cdot 2\cdot3.14\cdot0.4=1.26$ $m/s$

$\rvert a_{max}\rvert=A\cdot \omega^2=A\cdot(2\pi\nu)^2=0.5\cdot (2\cdot3.14\cdot0.4)^2=0.03$ $m/s^2$