[力] 转动惯量；转动惯性；惯性矩
A new set-up for measuring the rotational inertia of electric machine rotor is presented in this paper.
本文提出了一种新装置，用于测量电机转子的转动惯量。
The transverse shearing deformation and rotational inertia are taken into consideration in the chosen thick plate strips.
所取厚板条考虑横向剪切变形和转动惯量，并取它的各阶振型为条向连续函数。
The i'esults of kinematiCs' analysis can be adopted to solve the rotational inertia of fly wheel mounted on the driving crank.
在运动分析的基础上，对系统进行受力分析，求解主动曲柄上需安装飞轮的转动惯量。
The rotational inertia of human entire body and each segment is one of the fundamental parameters in sports biomechanics research.
人体整体及环节的转动惯量是研究人体运动生物力学的基本参数。
A new measuring instrument of rotational inertia has been devised by the fixed - axis rotation principle and parallel axis theorem of compound pendulum.
利用复摆定轴转动原理和刚体平行轴定理设计的一种新型转动惯量测定仪。
|rotary inertia/processional moment;[力]转动惯量；转动惯性；惯性矩
Rotational inertia（转动惯量）是描述物体抵抗旋转运动状态改变的物理量。它在旋转动力学中的作用类似于质量在直线运动中的作用，即转动惯量越大，物体角加速度越小（在相同力矩下）。以下是详细解释：
基本定义
转动惯量（符号通常为$I$）的数学表达式为：
$$
I = sum m_i r_i
$$
其中$m_i$是物体中每个质点的质量，$r_i$是该质点到旋转轴的垂直距离。对于连续体，公式变为积分形式：
$$
I = int r , dm
$$
物理意义
典型示例
影响因素
| 因素 | 对转动惯量的影响 |
|---|---|
| 总质量增加 | 增大 |
| 质量远离旋转轴 | 显著增大 |
| 旋转轴位置变化 | 完全改变计算结果（例如同一物体绕端点或中心旋转的$I$不同） |
与直线运动的对比
$$
begin{aligned}
text{直线运动} &: F = ma
text{旋转运动} &: tau = Ialpha
end{aligned}
$$
其中$tau$是力矩，$alpha$是角加速度。
理解转动惯量对分析旋转系统（如陀螺仪、行星自转、机械齿轮）至关重要。实际计算时可直接查标准几何体的转动惯量表（如实心球$I=frac{2}{5}mr$，圆环$I=mr$）。
Rotational inertia（旋转惯量）, also known as moment of inertia（转动惯量）, is a physical quantity that describes an object's resistance to rotational motion around a specific axis. It depends on the object's mass distribution and the distance of each mass element from the axis of rotation.
Rotational inertia can be calculated using the following formula:
$I = sum m_i r_i^2$
where $I$ is the rotational inertia, $m_i$ is the mass of each element, and $r_i$ is the distance of each element from the axis of rotation.
Rotational inertia plays an important role in many physical phenomena, such as the motion of a spinning top or a rotating planet.
Rotational inertia is a fundamental concept in classical mechanics and is used in the analysis of various objects and systems that involve rotational motion, such as wheels, gears, and flywheels. It is also used in engineering applications, such as the design of engines and turbines.
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