sinusoidal wave
Quick Summary
A sine wave, also known as a sine curve, is a waveform that depicts periodic oscillations. In this type of wave, the amplitude of displacement at any point is directly proportional to the sine of the displacement's phase angle.1
Wave motion, in general, is the propagation of disturbances from one place to another in an organized manner. This concept is fundamental across physical sciences and engineering, as it applies to phenomena like sound, light, and even the behavior of subatomic particles.2
The simplest forms of wave motion involve sinusoidal oscillations, which are crucial for understanding linear wave motion. These pure tones, like those produced by a single sine wave in sound, form the basis for analyzing more complex wave patterns. In electronics, sinusoidal waves are used to generate radio waves.2
Cosine functions are closely related to sine waves and are used to describe periodic motion, including simple harmonic motion. Both sound waves and alternating current (AC) follow sinusoidal patterns that can be represented using cosine functions.3
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- electricityBasic phenomena and principles
…users involves voltages that vary sinusoidally in time, at a frequency of 60 hertz (Hz) in the United States and Canada and 50 hertz in Europe. (One hertz equals one cycle per second.) This means that in the United States, for example, the current alternates its direction in the electric…
Read More…users involves voltages that vary sinusoidally in time, at a frequency of 60 hertz (Hz) in the United States and Canada and 50 hertz in Europe. (One hertz equals one cycle per second.) This means that in the United States, for example, the current alternates its direction in the electric…
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electric generatorSynchronous generators…alternating current used is a sine wave, which has the shape shown in Figure 1. This has been chosen because it is the only repetitive shape for which two waves displaced from each other in time can be added or subtracted and have the same shape occur as the result.…
Read More…alternating current used is a sine wave, which has the shape shown in Figure 1. This has been chosen because it is the only repetitive shape for which two waves displaced from each other in time can be added or subtracted and have the same shape occur as the result.…
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- soundBeats
…case, beats result when two sinusoidal sound waves of equal amplitude and very nearly equal frequencies mix. The frequency of the resulting sound (F) would be the average of the two original frequencies (f1 and f2):
Read More…case, beats result when two sinusoidal sound waves of equal amplitude and very nearly equal frequencies mix. The frequency of the resulting sound (F) would be the average of the two original frequencies (f1 and f2):
Read More - soundDynamic range of the ear
…change in intensity of a sinusoidal sound wave that can be observed, called the intensity just noticeable difference, is about one decibel (further reinforcing the value of the decibel intensity scale). One decibel corresponds to an absolute energy variation of a factor of about 1.25. Thus, the minimum observable change…
Read More…change in intensity of a sinusoidal sound wave that can be observed, called the intensity just noticeable difference, is about one decibel (further reinforcing the value of the decibel intensity scale). One decibel corresponds to an absolute energy variation of a factor of about 1.25. Thus, the minimum observable change…
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