WEBVTT 00:00:00.000 --> 00:00:04.000 The connection between angle and time is what's known as angular velocity, 00:00:04.000 --> 00:00:07.000 which we give this symbol ω--it looks sort of like a funny w. 00:00:07.000 --> 00:00:12.000 In this quantity describes how quickly in radians we progress around this circle 00:00:12.000 --> 00:00:18.000 and so it's units are in radians/second and the equation that describes this 00:00:18.000 --> 00:00:25.000 is that the angle is equal to the ω*t--the angular velocity times the elapsed time. 00:00:25.000 --> 00:00:28.000 I should put a Δ here. This is how much you've changed your angle. 00:00:28.000 --> 00:00:32.000 So let's say we started an angle of 0 degrees, 0 radians were down here, 00:00:32.000 --> 00:00:36.000 and I have an angular velocity--let's keep it simple of 1 radian/sec. 00:00:36.000 --> 00:00:40.000 So what I want to know is how long will it take to complete one cycle 00:00:40.000 --> 00:00:44.000 and you'll have to remember what one cycle means in radians when four cycle 00:00:44.000 --> 99:59:59.999 given an angular velocity of 1 radian/second--enter your answer here.