# Question ce032

Feb 27, 2017

For motion in a circle of radius $r$, where period for one rotation is $T$ the angular velocity ω is given by the expression

$\setminus \omega = \setminus \frac{2 \setminus \pi}{T} = 2 \setminus \pi f = \setminus \frac{d \setminus \theta}{\mathrm{dt}}$
It has units radians per second

Also the linear speed $v$ of the object traveling in the circle is
v = (2 π r)/ T = ω r #

For angular velocity to be zero, either
1. $T = \infty$, or
2. Frequency $f = 0$, or
3. $v = 0$ or
4. radius $r = \infty$