圆盘的转动惯量怎么算?

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2024-12-26 15:02:27
推荐回答(5个)
回答1:

圆盘的转动惯量算法如下:

转动惯量(Moment of Inertia)是刚体绕轴转动时惯性(回转物体保持其匀速圆周运动或静止的特性)的量度,用字母I或J表示。 在经典力学中,转动惯量(又称质量惯性矩,简称惯距)通常以I 或J表示,SI 单位为 kg·m²。对于一个质点,I = mr²,其中 m 是其质量,r 是质点和转轴的垂直距离。转动惯量在旋转动力学中的角色相当于线性动力学中的质量,可形式地理解为一个物体对于旋转运动的惯性,用于建立角动量、角速度、力矩和角加速度等数个量之间的关系。

回答2:

圆盘的转动惯量 J=m*R*R*1/2

回答3:

用积分推导,将离盘心距离为X的各点写出其X关于动能EK的关系函数式,最后积分,OK,可以参照物理竞赛辅导!

回答4:

扭摆法测物体转动惯量

回答5:

I=mr^2。
转动惯量的计算公式是:I=mr^2。转动惯量(MomentofInertia)是刚体绕轴转动时惯性(回转物体保持其匀速圆周运动或静止的特性)的量度,通常以/或J表示。
刚体绕轴转动惯性的度量。其数值为J=∑mi*ri^2,式中mi表示刚体的某个质点的质量,ri表示该质点到转轴的垂直距离,求和号(或积分号)遍及整个刚体。

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