JJones_86 said:The Attempt at a Solution
y = 0.37 sin((pi)34.4-3.88(pi)6.7)
y = .16452 meters
What am I missing here? All I should have to do is plug the t and x values into the given equation right? For some reason I'm getting it wrong.
The variable y represents the displacement of the wave from its equilibrium position, while t represents time and x represents the position along the wave.
To solve the wave displacement equation, you need to plug in values for the variables t and x and calculate the corresponding value for y. This can be done using a calculator or by hand.
The number 0.37 is the amplitude of the wave, which represents the maximum displacement from the equilibrium position. In this case, it means that the wave has a maximum displacement of 0.37 units.
The number 3.88 represents the phase shift of the wave, which is the horizontal displacement of the wave from its starting position. In this case, it means that the wave starts at a position 3.88 units to the right of the origin.
The wave displacement equation is used in various fields of science and engineering, such as acoustics, optics, and electromagnetics. It is used to model and study the behavior of waves in different systems, such as sound waves in air, light waves in water, and electromagnetic waves in space.