Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Torque Calculation

力矩计算
In the diagram, the angle is the angle <= 180 degrees between the r and F vectors when they are drawn from the same origin. The direction of the torque is given be the right hand rule, which gives a vector out toward the reader in this case. Note that the torque is maximum when the angle is 90 degrees.
在图中,角度是当r和F矢量从同一点出发时所形成的小于180度的角。力矩的方向由右手法则确定,本例中力矩矢量指向读者。注意当角度为90度时,力矩最大。

A practical way to calculate the magnitude of the torque is to first determine the lever arm and then multiply it times the applied force. The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force.

计算力矩大小的一种实用方法是首先确定力臂,然后将其乘以作用力。力臂是从旋转轴到力作用线的垂直距离。
If a force of magnitude F = N is applied
at a distance r = m from the axis of rotation
in an orientation where r makes the angle θ = degrees
with respect to the line of action of the force,
then the lever arm = m
and the magnitude of the torque is τ = N m.

The direction of the torque associated with the illustration above is toward you. That is, it is along the rotation axis in the direction out of the screen.

Torque as a vector product
力矩作为矢量积
若在距离旋转轴 r = m 处施加一个大小为 F = N 的力,且该力的作用线与力的方向成 θ = 度角,则力臂为 m,力矩的大小为 τ = N·m。上述示意图中力矩的方向是朝向你,即沿着旋转轴方向,指向屏幕外。
中文译文中的待填/计算数值依次对应:1:f 2:r 3:th 4:la 5:tor。实际数值以上方原输入框为准。
Index

Rotation concepts

Torque concepts
索引 旋转概念 力矩概念
 
HyperPhysics***** Mechanics ***** Rotation
HyperPhysics ***** 力学 ***** 转动
R Nave
Go Back
返回





Lever Arm

杠杆臂

The magnitude of the torque with respect to a given axis of rotation can be approached as the force times the lever arm with respect to that axis. The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force. The direction of the torque is given by the right hand rule.

相对于给定旋转轴的力矩的大小可以近似为力乘以该轴的力臂。力臂是旋转轴到力作用线的垂直距离。力矩的方向由右手法则确定。
Index

Torque concepts
索引 力矩概念
 
HyperPhysics***** Mechanics ***** Rotation
HyperPhysics ***** 力学 ***** 转动
R Nave
Go Back
返回