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角频率 - Wikipedia

角频率

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角频率是对物体旋转快慢的度量
角频率是对物体旋转快慢的度量

物理学(特别是力学电子工程)中,角频率 ω 有时也叫做角速度,是对旋转快慢的度量,它是角速度向量\vec{\omega}的模。角频率的国际单位弧度。由于弧度是无量纲的,所以角频率的量纲T −1

因为旋转一周的弧度是2π,所以

\omega = \frac{2\pi}{T} = 2 \pi f = v / r  = \frac{ds}{dt} \cdot \frac{1}{r} = \frac{d\theta}{dt}

其中

ω 是角频率(单位为弧度每秒)
T周期(单位为秒)
f频率(单位为赫兹
v 是绕轴旋转的线速度(单位为米每秒)
r 是旋转的半径(单位为

角频率在数值上是频率的2π倍。很多情况下,使用角频率而不是频率作为变量可以避免出现额外的π,从而简化公式。物理学中包含周期运动的领域通常都使用角频率作为记号,例如量子力学电动力学

例如:

a = − ω2x

如果用频率作为变量,这一等式要写作:

a = − 4π2f2x

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