half cycle

简明释义

半周期

英英释义

A half cycle refers to one complete oscillation or movement of a periodic function, typically representing either the ascending or descending phase in a wave or cycle.

半周期指的是周期性函数的一个完整振荡或运动,通常表示波动或循环中的上升或下降阶段。

例句

1.During the experiment, we observed that the system stabilized after a half cycle (半个周期) of oscillation.

在实验中,我们观察到系统在一个半个周期的振荡后稳定下来。

2.The data collection process was completed in a half cycle (半个周期), ensuring timely results.

数据收集过程在一个半个周期内完成,确保及时获得结果。

3.The motor operates for a half cycle (半个周期) to reduce energy consumption during idle time.

电机在空闲时运行一个半个周期以减少能耗。

4.The signal generator can be set to output a waveform with a frequency that allows for a half cycle (半个周期) duration.

信号发生器可以设置为输出一个频率,使其持续时间为一个半个周期

5.In a sinusoidal wave, a complete wave consists of one full cycle, while a single peak represents a half cycle (半个周期).

在正弦波中,一个完整的波由一个完整的周期组成,而一个峰代表一个半个周期

作文

In the study of physics and engineering, the concept of a half cycle (半个周期) is crucial for understanding waveforms and oscillations. A half cycle refers to the period during which a wave completes half of its full oscillation. This means that if we consider a complete wave cycle as consisting of two halves, then the half cycle represents the transition from one peak to the next trough or vice versa. Understanding this concept is essential for various applications, including signal processing, sound waves, and even electrical engineering.For example, when analyzing an alternating current (AC) waveform, each half cycle corresponds to a change in direction of the current flow. During the first half cycle, the current flows in one direction, reaching its maximum positive value, while in the second half cycle, it reverses direction, reaching its maximum negative value. This alternating nature of AC is what allows it to be efficiently transmitted over long distances, making it a fundamental aspect of modern electrical systems.Moreover, the concept of a half cycle is not limited to just electrical phenomena. In acoustics, sound waves can also be described in terms of their cycles. Each half cycle of a sound wave contributes to the overall pitch and tone that we hear. Musicians often utilize this understanding when tuning their instruments, ensuring that each note resonates correctly by considering the half cycle of the sound waves produced.In the realm of mathematics, periodic functions such as sine and cosine are also defined in terms of cycles. The half cycle of these functions is particularly important in trigonometry, where it helps to determine the values of angles and their corresponding sine and cosine values. For instance, the sine function reaches its maximum at the end of the first half cycle and returns to zero at the end of the complete cycle. This knowledge is pivotal for solving problems involving waves and oscillations in both theoretical and applied mathematics.In engineering, particularly in the design of mechanical systems, understanding the half cycle is vital for analyzing vibrations and resonance. Engineers must take into account how materials respond during each half cycle of vibration to ensure the safety and durability of structures and machines. Failure to properly account for these factors can result in catastrophic failures, emphasizing the importance of this concept in practical applications.Overall, the significance of the half cycle (半个周期) extends across multiple fields, from physics and engineering to music and mathematics. It serves as a foundation for understanding complex phenomena and is a key element in both theoretical studies and practical applications. By comprehensively grasping the idea of a half cycle, students and professionals alike can better analyze and interpret the behavior of various systems, leading to advancements in technology and science. As we continue to explore the intricacies of waves and oscillations, the half cycle will remain an essential concept that bridges diverse disciplines and enhances our comprehension of the world around us.

在物理学和工程学的研究中,半个周期这一概念对于理解波形和振荡至关重要。半个周期指的是波完成其完整振荡的一半的时间段。这意味着,如果我们将一个完整的波周期视为由两个半部分组成,那么半个周期就代表了从一个波峰到下一个波谷或反之的过渡。理解这一概念对于各种应用都是必不可少的,包括信号处理、声波甚至电气工程。例如,在分析交流电(AC)波形时,每个半个周期对应于电流流动方向的变化。在第一个半个周期中,电流朝一个方向流动,达到其最大正值,而在第二个半个周期中,它则反向流动,达到最大负值。这种交流电的交替特性使其能够高效地在长距离上传输,使其成为现代电力系统的基本方面。此外,半个周期的概念并不仅限于电气现象。在声学中,声波也可以用周期来描述。每个半个周期的声波都对我们听到的整体音调和音色产生影响。音乐家在调音时常常利用这种理解,确保每个音符通过考虑所产生声波的半个周期而正确共鸣。在数学领域,周期函数如正弦和余弦也以周期为定义。这个半个周期在三角学中尤为重要,因为它有助于确定角度及其对应的正弦和余弦值。例如,正弦函数在第一个半个周期结束时达到其最大值,并在完整周期结束时返回零。这一知识对于解决涉及波和振荡的问题在理论和应用数学中都是至关重要的。在工程领域,特别是在机械系统的设计中,理解半个周期对于分析振动和共振至关重要。工程师必须考虑材料在每个半个周期振动期间的响应,以确保结构和机器的安全性和耐久性。如果未能妥善考虑这些因素,可能会导致灾难性的故障,这突显了这一概念在实际应用中的重要性。总的来说,半个周期(半个周期)的重要性跨越多个领域,从物理学和工程学到音乐和数学。它作为理解复杂现象的基础,是理论研究和实际应用中的关键要素。通过全面掌握半个周期的概念,学生和专业人士都可以更好地分析和解释各种系统的行为,从而推动技术和科学的进步。当我们继续探索波和振荡的复杂性时,半个周期将始终是一个重要概念,连接着不同学科,增强我们对周围世界的理解。

相关单词

half

half详解:怎么读、什么意思、用法

cycle

cycle详解:怎么读、什么意思、用法