sinusoidal wave

简明释义

正弦波

英英释义

例句

1.In electrical engineering, alternating current (AC) is often represented as a sinusoidal wave, or 正弦波, due to its periodic nature.

在电气工程中，交流电（AC）通常被表示为一个sinusoidal wave，或正弦波，因为它的周期性特征。

2.When analyzing sound waves, we often break them down into sinusoidal waves, or 正弦波, to understand their frequency components.

在分析声波时，我们经常将它们分解为sinusoidal waves，或正弦波，以理解它们的频率成分。

3.The sound produced by the tuning fork can be described as a sinusoidal wave, which is a 正弦波 that represents a pure tone.

音叉产生的声音可以描述为一个sinusoidal wave，这是一种表示纯音的正弦波。

4.The graph of a sinusoidal wave shows a smooth periodic oscillation, which is characteristic of a 正弦波 function.

一个sinusoidal wave的图形显示出平滑的周期性振荡，这是正弦波函数的特征。

5.The motion of a pendulum can be modeled using a sinusoidal wave, which is a 正弦波 reflecting its oscillation.

摆的运动可以用一个sinusoidal wave来建模，这是一种反映其振荡的正弦波。

作文

Understanding the concept of a sinusoidal wave is crucial in various fields such as physics, engineering, and signal processing. A sinusoidal wave is a mathematical curve that describes a smooth periodic oscillation. It is named after the sine function, which is one of the fundamental trigonometric functions. The sinusoidal wave is characterized by its amplitude, frequency, and phase, making it a fundamental waveform in the study of wave phenomena.In physics, waves are an essential concept, and the sinusoidal wave serves as a model for many types of waves, including sound waves, light waves, and water waves. When we think about sound, for instance, musical notes can often be represented as sinusoidal waves. Each note corresponds to a specific frequency, and the quality of the sound is determined by the wave's amplitude and phase. This relationship between sound and the sinusoidal wave illustrates how integral this concept is to our understanding of acoustics.In engineering, particularly in electrical engineering, the sinusoidal wave plays a vital role in alternating current (AC) circuits. AC voltage and current vary sinusoidally over time, which allows for efficient power transmission over long distances. The ability to analyze and manipulate sinusoidal waves is essential for designing circuits and systems that rely on AC power. Engineers use tools like Fourier analysis to break down complex waveforms into their constituent sinusoidal waves, simplifying the process of circuit design and analysis.Moreover, in signal processing, the sinusoidal wave is a building block for understanding and manipulating signals. For example, when transmitting data over radio waves, information can be encoded onto a carrier wave that is often sinusoidal in nature. By modulating the amplitude or frequency of the sinusoidal wave, we can transmit information effectively. This principle underlies many modern communication technologies, including television, radio, and mobile phones.The mathematical representation of a sinusoidal wave is given by the equation: y(t) = A sin(ωt + φ), where A is the amplitude, ω is the angular frequency, t is time, and φ is the phase shift. This equation not only describes the shape of the wave but also provides insight into its properties. For instance, increasing the amplitude A results in a taller wave, while changing the frequency ω alters how quickly the wave oscillates. Understanding these parameters is essential for anyone working with sinusoidal waves in practical applications.In conclusion, the sinusoidal wave is a fundamental concept that transcends various scientific and engineering disciplines. Its applications range from understanding natural phenomena to designing advanced technologies. By grasping the properties and implications of the sinusoidal wave, we can appreciate its significance in shaping our world. As we continue to explore the realms of science and technology, the sinusoidal wave will undoubtedly remain a cornerstone of our understanding of wave behavior and its myriad applications.

理解正弦波的概念在物理、工程和信号处理等多个领域至关重要。正弦波是描述平滑周期性振荡的数学曲线。它以正弦函数命名，正弦函数是基本的三角函数之一。正弦波的特征包括其振幅、频率和相位，使其成为研究波动现象的基本波形。在物理学中，波是一个重要概念，而正弦波则作为许多类型波的模型，包括声波、光波和水波。当我们考虑声音时，音乐音符通常可以表示为正弦波。每个音符对应于特定的频率，而声音的质量由波的振幅和相位决定。这种声音与正弦波之间的关系说明了这一概念对我们理解声学的重要性。在工程学中，尤其是电气工程中，正弦波在交流电（AC）电路中发挥着重要作用。交流电压和电流随时间呈正弦波变化，这使得长距离电力传输更加高效。分析和操纵正弦波的能力对于设计依赖交流电的电路和系统至关重要。工程师使用傅里叶分析等工具将复杂波形分解为其组成的正弦波，简化电路设计和分析过程。此外，在信号处理中，正弦波是理解和操纵信号的基础。例如，在通过无线电波传输数据时，信息可以编码到通常呈正弦性质的载波上。通过调制正弦波的振幅或频率，我们可以有效地传输信息。这一原理是现代通信技术的基础，包括电视、广播和手机。正弦波的数学表示为：y(t) = A sin(ωt + φ)，其中A是振幅，ω是角频率，t是时间，φ是相位偏移。这个方程不仅描述了波的形状，还提供了对其属性的洞察。例如，增加振幅A会导致波更高，而改变频率ω则会改变波振荡的速度。理解这些参数对于任何从事正弦波实际应用的人来说都是至关重要的。总之，正弦波是一个跨越科学和工程多个学科的基本概念。它的应用范围从理解自然现象到设计先进技术。通过掌握正弦波的属性和意义，我们可以欣赏其在塑造我们世界中的重要性。随着我们继续探索科学和技术的领域，正弦波无疑将继续成为我们理解波动行为及其众多应用的基石。