learning goal: to understand the standard formula for a sinusoidal traveling wave. one formula for a wave with a y displacement (e.g., of a string) traveling in the x direction is y(x,t)

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13-12-2022
Physics

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learning goal: to understand the standard formula for a sinusoidal traveling wave. one formula for a wave with a y displacement (e.g., of a string) traveling in the x direction is y(x,t)

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ShubhamSrivastava ShubhamSrivastava · Answer 1 · 2022-12-20T08:39:07+01:00

Independent variables are those that are freely varied to control the value of the function. In the above equation only x and t are varied to control.

What is sinusoidal wave?

A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function, of which it is the graph. It is a type of continuous wave and also a smooth periodic function. It occurs often in mathematics, as well as in physics, engineering, signal processing and many other fields.

The sine wave is important in physics because it retains its wave shape when added to another sine wave of the same frequency and arbitrary phase and magnitude. It is the only periodic waveform that has this property. This property leads to its importance in Fourier analysis and makes it acoustically unique.

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