From 7592f44c7f9effacef58714f659ac7703fd0a45a Mon Sep 17 00:00:00 2001 From: eggy Date: Wed, 25 Nov 2020 11:09:28 -0500 Subject: [PATCH] phys: add second angular velocity formula --- docs/sph3u7.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/sph3u7.md b/docs/sph3u7.md index dae3354..9247e41 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -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: $$v=\omega r$$