# 角频率

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

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

${\displaystyle a=-\omega ^{2}x}$

${\displaystyle a=-4\pi ^{2}f^{2}x}$

## 例子

### 弹簧振动

${\displaystyle \omega ={\sqrt {\frac {k}{m}}}}$

• ${\displaystyle k}$是弹簧的劲度系数
• ${\displaystyle m}$是物体的重量

${\displaystyle \omega }$被称为自然频率（有时被记为${\displaystyle \omega _{0}}$）。

${\displaystyle a=\omega ^{2}x}$

${\displaystyle a=-4\pi ^{2}f^{2}x}$

### LC电路

${\displaystyle \omega ={\sqrt {\frac {1}{LC}}}}$

## 参见

1. ^ Serway, Raymond; Jewett, John. Principles of Physics: A Calculus-Based Text. Principles of physics. Cengage Learning. 2006. ISBN 978-0-534-49143-7 （英语）.
2. ^ Nahvi, Mahmood; Edminister, Joseph. Schaum's Outline of Electric Circuts. Schaum's outline of theory and problems of electric circuits. Mcgraw-hill. 2002-12-20. ISBN 978-0-07-139307-2 （英语）.