Gabriela Gallegos

2023-03-03

The equation describes a water wave moving in a straight line on a lake.

$y(x,t)=3.75\mathrm{cos}(0.450x+5.40t)$

where y is the displacement perpendicular to the undisturbed surface of the lake. How much time does it take for one complete wave pattern to go past a fisherman in a boat at anchor?

$y(x,t)=3.75\mathrm{cos}(0.450x+5.40t)$

where y is the displacement perpendicular to the undisturbed surface of the lake. How much time does it take for one complete wave pattern to go past a fisherman in a boat at anchor?

Troncanizxl

Beginner2023-03-04Added 3 answers

On comparing the equation to $y=A\mathrm{sin}(kx+-wt+\varphi )$. We get $w=5.40{s}^{-1}$

The time required for one complete wave to go part the fisherman, since the fisherman is at rest, is one time period.

$T=\frac{2\pi}{w}=\frac{2\times 3.14}{5.4}=1.16\text{}s$

A full wave takes 1.16 s to go past the fisherman.

The time required for one complete wave to go part the fisherman, since the fisherman is at rest, is one time period.

$T=\frac{2\pi}{w}=\frac{2\times 3.14}{5.4}=1.16\text{}s$

A full wave takes 1.16 s to go past the fisherman.