The vertical displacement due to a traveling wave moving horizontally is given by y(x,t)= 5.4 cos (0.4(rad/cm)x - 45(rad/s)t (sec))where x and y are in centimeters.The horizontal distance between the points whose phase differs by $\pi$/3 rad is
A)1.05 cm.
B)2.62 cm.
C)7.86 cm.
D)9.81 cm.
E)13.6 cm.

Question

Quizplus · Accepted Answer

We want to find the distance between two points whose phase differs by F1F1F1S1F1F1F10/3 rad, which can be expressed as:

F1F1F1S1F1F1F10/3 = 0.4(rad/cm)Δx

Solving for Δx, we get:

Δx = (3F1F1F1S150.4π) cm = 2.62 cm

Therefore, the horizontal distance between the two points is 2.62 cm.

The Vertical Displacement Due to a Traveling Wave Moving Horizontally π\piπ

The Vertical Displacement Due to a Traveling Wave Moving Horizontally $\pi$