angular velocity

简明释义

角速度

英英释义

例句

1.The spinning top maintains a constant angular velocity 角速度 as long as it is not disturbed.

陀螺在不受干扰的情况下保持恒定的angular velocity 角速度。

2.In robotics, the angular velocity 角速度 of the joints must be precisely controlled for accurate movement.

在机器人技术中，关节的angular velocity 角速度必须被精确控制以实现准确的运动。

3.When analyzing the motion of planets, scientists calculate their angular velocity 角速度 around the sun.

在分析行星运动时，科学家计算它们围绕太阳的angular velocity 角速度。

4.The formula for angular velocity 角速度 is given by the change in angle over time.

对于angular velocity 角速度的公式是由角度变化除以时间。

5.The angular velocity 角速度 of the Earth’s rotation affects satellite orbits.

地球自转的angular velocity 角速度影响卫星轨道。

作文

Understanding the concept of angular velocity is crucial in various fields of physics and engineering. Essentially, angular velocity refers to the rate at which an object rotates around a specific axis. It is a vector quantity, meaning it has both magnitude and direction. The magnitude of angular velocity is usually measured in radians per second, which indicates how many radians an object travels through in one second. This concept is particularly important in mechanics, where it helps to describe the motion of rotating bodies. To better grasp the idea of angular velocity, consider a simple example: a spinning wheel. As the wheel turns, every point on its circumference moves along a circular path. The angular velocity of the wheel tells us how fast that spinning is occurring. If the wheel completes one full rotation in two seconds, we can calculate its angular velocity as π radians per second. This calculation is derived from the fact that one full rotation is equivalent to 2π radians. In addition to its basic definition, angular velocity plays a significant role in various applications. For instance, in the realm of astronomy, understanding the angular velocity of celestial bodies allows scientists to predict their positions and movements over time. Similarly, in the field of robotics, engineers must account for the angular velocity of joints and limbs to ensure precise movements and operations. Moreover, the relationship between angular velocity and linear velocity is another critical aspect to consider. Linear velocity refers to the speed of an object moving along a straight path, while angular velocity pertains to rotational motion. The two are connected through the radius of the circular path. Specifically, the linear velocity (v) of a point on the edge of a rotating object can be calculated using the formula v = r * ω, where r is the radius and ω represents the angular velocity. This relationship emphasizes how changes in angular velocity can directly affect the linear speed of an object. Furthermore, angular velocity can also be influenced by external factors such as torque and moment of inertia. Torque, which is the rotational equivalent of force, can cause changes in angular velocity. For example, when you apply a force to push a merry-go-round, you create torque that increases its angular velocity. On the other hand, the moment of inertia, which depends on the mass distribution of the object, can hinder or facilitate changes in angular velocity. A heavier object or one with mass distributed far from the axis of rotation will have a higher moment of inertia, making it harder to change its angular velocity. In summary, angular velocity is a fundamental concept in understanding rotational motion. Its implications stretch across various disciplines, affecting how we analyze and interact with the physical world. Whether it's a planet orbiting a star or a car turning a corner, recognizing the significance of angular velocity enhances our comprehension of motion and dynamics. As we continue to explore the depths of physics and engineering, mastering this concept will undoubtedly prove invaluable for students and professionals alike.

理解角速度这一概念在物理和工程的多个领域中至关重要。基本上，角速度指的是一个物体围绕特定轴旋转的速率。它是一个矢量量，意味着它具有大小和方向。角速度的大小通常以每秒弧度为单位测量，这表明一个物体在一秒钟内移动了多少弧度。这个概念在力学中尤为重要，它有助于描述旋转物体的运动。为了更好地理解角速度的概念，可以考虑一个简单的例子：旋转的轮子。当轮子转动时，其周长上的每个点沿着圆形路径移动。轮子的角速度告诉我们这种旋转发生的速度。如果轮子在两秒内完成一次完整的旋转，我们可以将其角速度计算为每秒π弧度。这个计算是基于一个完整旋转等于2π弧度的事实。除了基本定义外，角速度在各种应用中也起着重要作用。例如，在天文学领域，理解天体的角速度使科学家能够预测它们随时间的位移和运动。类似地，在机器人技术领域，工程师必须考虑关节和肢体的角速度，以确保精确的运动和操作。此外，角速度与线速度之间的关系也是另一个需要考虑的重要方面。线速度指的是沿直线路径移动的物体的速度，而角速度则涉及旋转运动。两者通过圆形路径的半径相连接。具体而言，旋转物体边缘上的某一点的线速度（v）可以使用公式v = r * ω计算，其中r是半径，ω表示角速度。这个关系强调了角速度的变化如何直接影响物体的线速度。此外，外部因素如扭矩和转动惯量也可能影响角速度。扭矩，即力的旋转等价物，可以导致角速度的变化。例如，当你施加力量推动旋转木马时，你会产生扭矩，从而增加其角速度。另一方面，转动惯量取决于物体的质量分布，可以阻碍或促进角速度的变化。较重的物体或质量分布远离旋转轴的物体将具有更高的转动惯量，使其更难改变其角速度。总之，角速度是理解旋转运动的基本概念。它的影响跨越多个学科，影响我们分析和与物理世界互动的方式。无论是行星围绕恒星旋转还是汽车转弯，认识到角速度的重要性都增强了我们对运动和动力学的理解。随着我们继续探索物理和工程的深度，掌握这一概念无疑将对学生和专业人士来说是极其宝贵的。