Solving the Wave Displacement Equation: y = 0.37 sin(t - 3.88x)

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The wave displacement equation provided is y = 0.37 sin((pi)t - 3.88(pi)x). To find the displacement at t = 34.4 s and x = 6.7 m, the calculation yields y = 0.37 sin((pi)34.4 - 3.88(pi)6.7), resulting in approximately 0.16452 meters. The key issue identified is the need to ensure the calculator is set to radians for accurate results. Proper settings are crucial for correctly solving trigonometric equations in physics. The discussion emphasizes the importance of calculator settings in wave displacement calculations.
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Homework Statement


The displacement (in meters) of a wave is y = 0.37 sin((pi)t - 3.88(pi)x), where t is in seconds and X is in meters.

What is the displacement y when t = 34.4 s and x = 6.7 m?


Homework Equations


y = 0.37 sin(t - 3.88x)


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.
 
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Hi JJones_86,

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.

You need to set your calculator to radians.
 
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