mass moment of inertia

简明释义

质量惯性矩

英英释义

例句

1.In robotics, understanding the mass moment of inertia 质量矩惯性 is crucial for designing stable movements.

在机器人技术中，理解质量矩惯性 质量矩惯性对于设计稳定的运动至关重要。

2.The mass moment of inertia 质量矩惯性 of a solid cylinder can be calculated using a specific formula.

固体圆柱体的质量矩惯性 质量矩惯性可以通过特定公式计算得出。

3.The designer adjusted the mass moment of inertia 质量矩惯性 of the flywheel to improve engine performance.

设计师调整了飞轮的质量矩惯性 质量矩惯性以提高发动机性能。

4.When analyzing vehicle dynamics, the mass moment of inertia 质量矩惯性 plays a significant role in stability.

在分析车辆动态时，质量矩惯性 质量矩惯性在稳定性中起着重要作用。

5.The engineer calculated the mass moment of inertia 质量矩惯性 of the rotating shaft to ensure it could withstand the applied forces.

工程师计算了旋转轴的质量矩惯性 质量矩惯性，以确保它能够承受施加的力。

作文

The concept of mass moment of inertia is fundamental in the field of physics and engineering, particularly when analyzing rotational motion. In simple terms, the mass moment of inertia refers to a quantity that determines how much torque is needed for a desired angular acceleration about a rotational axis. It plays a similar role in rotation as mass does in linear motion. The greater the mass moment of inertia, the more difficult it is to change the rotational speed of an object. To understand the mass moment of inertia more clearly, consider a solid disk rotating about its central axis. The mass moment of inertia of this disk can be calculated using the formula I = (1/2) m r², where 'I' represents the moment of inertia, 'm' is the mass of the disk, and 'r' is the radius. This formula illustrates that both the mass and the distance from the axis of rotation significantly affect the mass moment of inertia. As the radius increases, the mass moment of inertia increases exponentially, making it harder to accelerate the disk. The significance of mass moment of inertia extends beyond theoretical calculations; it has practical applications in various fields. For instance, in mechanical engineering, understanding the mass moment of inertia is crucial when designing rotating machinery such as turbines and engines. Engineers must ensure that these components can withstand the forces produced during operation without failing. In addition, the mass moment of inertia is essential in vehicle dynamics. When designing vehicles, engineers must consider how the distribution of mass affects handling and stability. A vehicle with a low mass moment of inertia about its vertical axis will respond more quickly to steering inputs, providing better maneuverability. Conversely, a higher mass moment of inertia can lead to a more stable but less responsive vehicle. Moreover, the mass moment of inertia also plays a role in sports science. Athletes, especially those in sports like gymnastics or diving, need to understand how their body movements affect their mass moment of inertia. By altering their body position, they can control their rotational speed during flips and twists, optimizing their performance. In conclusion, the mass moment of inertia is a vital concept in understanding the dynamics of rotating bodies. Its implications are far-reaching, impacting various fields from engineering to sports. By grasping the principles behind the mass moment of inertia, we can better design systems, improve performance, and enhance our understanding of physical phenomena. As technology continues to advance, the importance of mastering concepts like the mass moment of inertia will only grow, highlighting the need for continued education and research in this area.

质量转动惯量的概念在物理学和工程学领域中是基础性的，特别是在分析旋转运动时。简单来说，质量转动惯量指的是一个量，它决定了在某个旋转轴上所需的扭矩，以实现期望的角加速度。它在旋转中发挥的作用类似于质量在直线运动中的作用。质量转动惯量越大，改变物体的旋转速度就越困难。为了更清楚地理解质量转动惯量，可以考虑一个围绕其中心轴旋转的固体圆盘。这个圆盘的质量转动惯量可以使用公式 I = (1/2) m r² 来计算，其中 'I' 代表转动惯量，'m' 是圆盘的质量，'r' 是半径。这个公式表明，质量和距离旋转轴的距离都显著影响质量转动惯量。随着半径的增加，质量转动惯量呈指数增加，使得加速圆盘变得更加困难。质量转动惯量的重要性不仅限于理论计算；它在各个领域都有实际应用。例如，在机械工程中，理解质量转动惯量对于设计旋转机械（如涡轮和发动机）至关重要。工程师必须确保这些组件能够承受在操作过程中产生的力而不会失效。此外，质量转动惯量在车辆动态中也起着重要作用。在设计车辆时，工程师必须考虑质量分布如何影响操控性和稳定性。关于垂直轴的低质量转动惯量的车辆对转向输入的响应会更快，从而提供更好的机动性。相反，更高的质量转动惯量可能导致车辆更稳定，但响应较慢。此外，质量转动惯量在运动科学中也发挥着作用。运动员，尤其是在体操或跳水等运动中，需要理解他们的身体动作如何影响他们的质量转动惯量。通过改变身体姿势，他们可以控制翻转和扭转过程中的旋转速度，从而优化表现。总之，质量转动惯量是理解旋转物体动力学的一个重要概念。它的影响深远，涉及从工程到体育的多个领域。通过掌握质量转动惯量背后的原理，我们可以更好地设计系统、提高性能，并增强对物理现象的理解。随着技术的不断进步，掌握像质量转动惯量这样的概念的重要性只会增加，这突显了在这一领域继续教育和研究的必要性。