angular velocity

简明释义

角速度;

英英释义

例句

1.In robotics, controlling the angular velocity of a joint is crucial for precise movements.

在机器人技术中，控制关节的角速度对精确运动至关重要。

2.The angular velocity of the Earth affects the length of a day.

地球的角速度影响着一天的长度。

3.To calculate the angular velocity of a wheel, you need to know the distance traveled and the time taken.

要计算轮子的角速度，你需要知道行驶的距离和所用的时间。

4.The spinning top has a high angular velocity, which keeps it balanced while it spins.

陀螺的角速度很高，这使得它在旋转时保持平衡。

5.In a carousel, each horse moves at a constant angular velocity around the center.

在旋转木马上，每匹马围绕中心以恒定的角速度移动。

作文

In the realm of physics, one of the fundamental concepts that often arises in discussions of motion is angular velocity. This term refers to the rate at which an object rotates around a specific point or axis. More precisely, angular velocity is defined as the change in angular displacement per unit time. It is typically measured in radians per second, although it can also be expressed in degrees per second. Understanding angular velocity is crucial not only in physics but also in various engineering applications, as it helps us analyze rotational motion in systems ranging from simple pendulums to complex machinery.To better grasp the concept of angular velocity, consider the example of a spinning wheel. When the wheel rotates, every point on its circumference moves along a circular path. The speed at which these points travel is directly related to the angular velocity of the wheel. If the wheel completes one full rotation in a given amount of time, we can calculate its angular velocity by dividing the total angle of rotation (which is 2π radians for a full circle) by the time taken for that rotation.The formula for angular velocity can be expressed as: ω = θ / twhere ω represents the angular velocity, θ is the angular displacement in radians, and t is the time in seconds. This relationship shows that a faster rotation results in a higher angular velocity. For instance, if a wheel spins twice as fast, its angular velocity will also double.Moreover, angular velocity is a vector quantity, meaning it has both magnitude and direction. The direction of the angular velocity vector is determined by the right-hand rule. If you curl the fingers of your right hand in the direction of the rotation, your thumb will point in the direction of the angular velocity vector. This directional aspect is particularly important when analyzing systems where multiple rotational motions occur simultaneously, such as in gears and engines.In practical applications, understanding angular velocity is essential for engineers and designers. For example, in the design of roller coasters, engineers must calculate the angular velocity of the cars as they navigate through loops and turns to ensure safety and comfort for riders. Similarly, in robotics, the angular velocity of robotic arms must be controlled precisely to perform tasks accurately without causing damage to objects or the robot itself.In conclusion, the concept of angular velocity plays a significant role in our understanding of rotational motion. By comprehending how angular velocity is defined, calculated, and applied, we can better appreciate the complexities of motion in both natural and engineered systems. Whether we are observing the graceful spin of a figure skater or the intricate movements of a robotic arm, the principles of angular velocity are at work, guiding our understanding of the world around us.

在物理学领域，一个常常在运动讨论中出现的基本概念是角速度。这个术语指的是一个物体围绕特定点或轴旋转的速率。更准确地说，角速度被定义为单位时间内角位移的变化。它通常以弧度每秒为单位进行测量，尽管也可以用度每秒表示。理解角速度不仅在物理学中至关重要，在各种工程应用中也同样重要，因为它帮助我们分析从简单的摆到复杂机械系统的旋转运动。为了更好地理解角速度的概念，可以考虑一个旋转轮子的例子。当轮子旋转时，轮子周边的每一个点都沿着圆形路径移动。这些点移动的速度与轮子的角速度直接相关。如果轮子在给定的时间内完成一次完整的旋转，我们可以通过将总的旋转角度（对于完整的圆来说是2π弧度）除以该旋转所需的时间来计算其角速度。角速度的公式可以表示为：ω = θ / t其中ω代表角速度，θ是以弧度表示的角位移，t是以秒为单位的时间。这个关系表明，旋转越快，角速度就越高。例如，如果轮子的旋转速度加倍，则其角速度也会加倍。此外，角速度是一个矢量量，这意味着它具有大小和方向。角速度矢量的方向由右手法则决定。如果你将右手的手指卷曲成旋转的方向，你的拇指将指向角速度矢量的方向。这一方向性在分析多个旋转运动同时发生的系统时尤其重要，例如在齿轮和发动机中。在实际应用中，理解角速度对工程师和设计师至关重要。例如，在过山车的设计中，工程师必须计算汽车在穿越环形和转弯时的角速度，以确保乘客的安全和舒适。同样，在机器人技术中，机器人手臂的角速度必须被精确控制，以便准确执行任务而不对物体或机器人本身造成损坏。总之，角速度的概念在我们理解旋转运动中扮演着重要角色。通过理解角速度的定义、计算和应用，我们可以更好地欣赏自然和工程系统中运动的复杂性。无论我们是在观察花样滑冰者优雅的旋转，还是机器人手臂的精细动作，角速度的原理都在发挥作用，引导我们理解周围的世界。