# The wave function for a traveling wave on a taut string is (in SI units) y(x,t) = 0.380 sin (7 pi...

## Question:

The wave function for a traveling wave on a taut string is (in SI units) {eq}\rm y(x,t) = 0.380 \sin \large \left (7 \pi t - 2 \pi x + \frac{\pi}{4} \right ) {/eq}. What is the vertical position of an element of the string at t = 0, x = 0.162 m?

## Wave Propagation:

A wave is described as an oscillation in matter. This oscillation will sometimes vary in magnitude depending on its position and time of travel. A type of wave that needs a medium to travel to is the mechanical wave. Mechanical waves are produces due to the disturbance of matter and vibrations of the molecules of matter. An example is a wave travelling through a string

## Answer and Explanation:

To solve this problem, we just need to insert the values of x and t into the equation. With this, we write,

{eq}y(0.162,0) = 0.380 \sin \large \left...

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