Find the speed of an ocean wave whose displacement is given by y = 3.7 cos(2.2x - 5.6t)where x and y are in meters and t is in seconds.

Name: Find the speed of an ocean wave whose displacement is given by y = 3.7 cos(2.2x - 5.6t)where x and y are in meters and t is in seconds.
Brand: Quizplus
Rating: 4.7 (45 reviews)

Question

Quizplus · Accepted Answer

The wave equation is in the form y = A cos(kx - ωt), where k is the wave number and ω is the angular frequency. Here, k = 2.2 and ω = 5.6. The wave speed v is given by v = ω/k = 5.6/2.2 = 2.545 m/s, which rounds to 2.5 m/s.

Find the Speed of an Ocean Wave Whose Displacement Is