moment of inertia

简明释义

惯性矩

英英释义

例句

1.The moment of inertia 转动惯量 of a thin rod about its end is calculated as (1/3)ml².

一根细杆绕其端点的转动惯量 moment of inertia 计算为 (1/3)ml²。

2.Engineers must consider the moment of inertia 转动惯量 when designing rotating machinery.

工程师在设计旋转机械时必须考虑转动惯量 moment of inertia。

3.The moment of inertia 转动惯量 of a solid cylinder is calculated using the formula I = (1/2)mr².

一个实心圆柱体的转动惯量 moment of inertia 通过公式 I = (1/2)mr² 计算。

4.A higher moment of inertia 转动惯量 means that more torque is required to rotate an object.

更高的转动惯量 moment of inertia 意味着需要更多的扭矩来旋转物体。

5.In physics, the moment of inertia 转动惯量 is crucial for understanding rotational dynamics.

在物理学中，转动惯量 moment of inertia 对于理解旋转动力学至关重要。

作文

The concept of moment of inertia is fundamental in the field of physics and engineering, particularly in the study of rotational motion. It serves as a measure of an object's resistance to changes in its rotation about a specific axis. Essentially, the moment of inertia quantifies how difficult it is to rotate an object based on its mass distribution relative to the axis of rotation. The greater the moment of inertia, the more torque is required to achieve a desired angular acceleration. This principle is crucial in various applications, from designing vehicles to understanding the dynamics of celestial bodies.To better understand the moment of inertia, let’s consider a simple example: a solid disk and a hollow cylinder, both with the same mass and radius. While they share these characteristics, their moments of inertia differ significantly due to the distribution of mass. The solid disk has its mass concentrated closer to the center, resulting in a lower moment of inertia. In contrast, the hollow cylinder, with its mass located further from the center, possesses a higher moment of inertia. This distinction highlights how the shape and mass distribution of an object directly influence its rotational behavior.In practical applications, engineers often need to calculate the moment of inertia to ensure stability and efficiency in mechanical systems. For instance, when designing rotating machinery, such as turbines or flywheels, understanding the moment of inertia helps in selecting appropriate materials and shapes to optimize performance. A well-designed system minimizes energy loss and enhances safety, making the moment of inertia a critical parameter in engineering calculations.Furthermore, the moment of inertia plays a significant role in sports science. Athletes, especially those involved in gymnastics or figure skating, can manipulate their body positions to change their moment of inertia. By pulling their limbs closer to their body, they reduce their moment of inertia, allowing them to spin faster. Conversely, extending their arms increases their moment of inertia, which slows down their rotation. Understanding this concept enables athletes to refine their techniques and improve their performance.In conclusion, the moment of inertia is an essential concept that bridges the gap between theoretical physics and practical application. Whether in engineering, sports, or everyday life, recognizing the implications of the moment of inertia allows for better design, improved performance, and a deeper understanding of the physical world. As we continue to explore the principles of motion, the moment of inertia will remain a pivotal factor in our quest to understand and harness the forces that govern our universe.

转动惯量（moment of inertia）的概念在物理学和工程学领域中是基础性的，尤其是在研究旋转运动时。它作为一个物体关于特定轴旋转时对变化的抵抗力的度量。基本上，moment of inertia量化了一个物体基于其质量分布相对于旋转轴的旋转难易程度。转动惯量越大，所需的扭矩就越多，以达到所需的角加速度。这个原理在各种应用中至关重要，从设计车辆到理解天体的动力学。为了更好地理解moment of inertia，让我们考虑一个简单的例子：一个实心圆盘和一个中空圆柱体，它们的质量和半径相同。虽然它们共享这些特性，但由于质量的分布不同，它们的moment of inertia显著不同。实心圆盘的质量集中在离中心较近的地方，导致其转动惯量较低。相比之下，中空圆柱体的质量位于离中心较远的位置，具有更高的转动惯量。这一区别突显了物体的形状和质量分布如何直接影响其旋转行为。在实际应用中，工程师通常需要计算转动惯量（moment of inertia），以确保机械系统的稳定性和效率。例如，在设计旋转机械时，如涡轮机或飞轮，了解转动惯量有助于选择适当的材料和形状，以优化性能。一个设计良好的系统可以最小化能量损失并增强安全性，使得转动惯量成为工程计算中的关键参数。此外，转动惯量（moment of inertia）在体育科学中也发挥着重要作用。运动员，尤其是那些参与体操或花样滑冰的运动员，可以通过操控身体姿势来改变他们的转动惯量。当他们将四肢拉近身体时，他们降低了自己的转动惯量，从而可以更快地旋转。相反，伸展手臂会增加他们的转动惯量，从而减慢旋转速度。理解这一概念使运动员能够完善他们的技术，提高表现。总之，转动惯量（moment of inertia）是一个重要的概念，架起了理论物理与实践应用之间的桥梁。无论是在工程、体育还是日常生活中，认识到转动惯量的影响使得我们能够更好地进行设计、提高性能，并更深入地理解物质世界。随着我们继续探索运动的原理，转动惯量将始终是我们理解和利用支配宇宙的力量的关键因素。