moment of inertia

简明释义

转动惯量

英英释义

例句

1.A higher moment of inertia 惯性矩 means that more torque is required to change an object's rotational speed.

更高的惯性矩 moment of inertia 意味着需要更多的扭矩来改变物体的旋转速度。

2.In physics, the moment of inertia 惯性矩 is crucial for understanding angular momentum.

在物理学中，惯性矩 moment of inertia 对理解角动量至关重要。

3.The moment of inertia 惯性矩 affects how easily an object can be rotated about an axis.

一个物体围绕某个轴旋转的难易程度受其惯性矩 moment of inertia 的影响。

4.The moment of inertia 惯性矩 of a solid cylinder is calculated using the formula I = 1/2 * m * r^2.

一个实心圆柱体的惯性矩 moment of inertia 可以通过公式 I = 1/2 * m * r^2 计算得出。

5.Engineers must consider the moment of inertia 惯性矩 when designing rotating machinery to ensure stability.

工程师在设计旋转机械时必须考虑惯性矩 moment of inertia 以确保稳定性。

作文

The concept of moment of inertia is a fundamental principle in physics and engineering that describes how mass is distributed in an object and how this distribution affects its resistance to rotational motion. In simple terms, the moment of inertia (转动惯量) quantifies how difficult it is to change the rotational speed of an object about a specific axis. The more mass an object has and the farther this mass is from the axis of rotation, the greater its moment of inertia will be.Understanding the moment of inertia is essential for various applications, from designing vehicles to understanding the dynamics of celestial bodies. For instance, when engineers design a car, they must consider how the weight is distributed across the vehicle. A car with a low moment of inertia will be more agile and responsive to steering inputs, making it easier to maneuver. Conversely, a car with a high moment of inertia may be more stable at high speeds but can be sluggish in turning.In addition to vehicles, the moment of inertia plays a crucial role in sports. Consider a figure skater performing a spin. As the skater pulls their arms in close to their body, they reduce their moment of inertia, allowing them to spin faster. This principle illustrates how athletes can manipulate their body position to enhance performance.The mathematical expression for moment of inertia varies depending on the shape of the object. For simple shapes, such as cylinders or spheres, there are standard formulas that provide the moment of inertia based on the mass and the radius. For example, the moment of inertia of a solid cylinder rotating about its central axis is given by the formula I = 1/2 * m * r², where 'I' is the moment of inertia, 'm' is the mass, and 'r' is the radius. Understanding these equations allows engineers and scientists to predict how objects will behave under different conditions.Moreover, the moment of inertia is not just limited to rigid bodies; it also applies to systems of particles. When analyzing complex systems, such as a group of molecules in a gas, the total moment of inertia can be calculated by summing the contributions from each particle. This broader application highlights the versatility of the concept in various fields of study.In conclusion, the moment of inertia is a vital concept that impacts many aspects of physics and engineering. Its implications can be seen in everyday life, from the way we drive cars to the performance of athletes in sports. By understanding the moment of inertia, we gain insight into the fundamental principles governing motion and stability. As technology advances and our understanding of mechanics deepens, the moment of inertia will continue to be a key factor in designing efficient systems and improving performance across various disciplines.

转动惯量（moment of inertia）的概念是物理学和工程学中的一个基本原理，它描述了物体的质量如何分布，以及这种分布如何影响其对旋转运动的抵抗力。简单来说，转动惯量（moment of inertia）量化了改变物体围绕特定轴的旋转速度的难易程度。物体的质量越大，且该质量离旋转轴越远，其转动惯量（moment of inertia）就越大。理解转动惯量（moment of inertia）对于各种应用至关重要，从设计车辆到理解天体的动态。例如，当工程师设计汽车时，他们必须考虑重量在车辆中的分布。转动惯量（moment of inertia）低的汽车将更加灵活，对方向盘输入的反应更快，使其更容易操控。相反，转动惯量（moment of inertia）高的汽车在高速行驶时可能更稳定，但在转弯时可能会显得迟缓。除了车辆，转动惯量（moment of inertia）在体育运动中也发挥着重要作用。考虑一名花样滑冰运动员在旋转时的表现。当滑冰者将手臂拉近身体时，他们减少了自己的转动惯量（moment of inertia），从而使他们能够旋转得更快。这个原理说明了运动员如何操控自己的身体姿势来提升表现。转动惯量（moment of inertia）的数学表达式因物体的形状而异。对于简单的形状，如圆柱体或球体，有标准公式提供基于质量和半径的转动惯量（moment of inertiamoment of inertiamoment of inertiamoment of inertia）不仅限于刚体；它同样适用于粒子系统。在分析复杂系统时，例如气体中的一组分子，可以通过汇总每个粒子的贡献来计算总转动惯量（moment of inertia）。这种更广泛的应用突显了该概念在各个研究领域的多样性。总之，转动惯量（moment of inertia）是一个重要的概念，影响着物理学和工程学的许多方面。其影响可以在日常生活中看到，从我们驾驶汽车的方式到运动员在体育运动中的表现。通过理解转动惯量（moment of inertia），我们获得了对支配运动和稳定性的基本原理的深入见解。随着技术的发展和我们对力学的理解加深，转动惯量（moment of inertia）将继续成为设计高效系统和改善各个学科表现的关键因素。