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phys: add second angular velocity formula

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eggy 2020-11-25 11:09:28 -05:00
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@ -559,8 +559,8 @@ Circular motion is any motion along a circular path. The instantaneous velocity
**Angular displacement** ($\Delta \theta$) is the change in angle an object has rotated relative to a reference position. By convention, angular displacement anti-clockwise is positive.
**Angular speed** ($\omega$) is the rate of angular displacement, and is expressed in radians per second. It is also known as angular frequency.
$$\omega=\frac{\Delta \theta}{\Delta t}$$
**Angular speed/velocity** ($\omega$) is the rate of angular displacement, and is expressed in radians per second. It is also known as angular frequency.
$$\omega=\frac{\Delta \theta}{\Delta t}=\frac{2\pi}{\Delta T}$$
An object in uniform circular motion has an angular speed of $2\pi f$. Since distance travelled in one period is the circumference of a circle, the **speed** of an object is:
$$v=\omega r$$