1 00:00:00,000 --> 00:00:04,000 The connection between angle and time is what's known as angular velocity, 2 00:00:04,000 --> 00:00:07,000 which we give this symbol ω--it looks sort of like a funny w. 3 00:00:07,000 --> 00:00:12,000 In this quantity describes how quickly in radians we progress around this circle 4 00:00:12,000 --> 00:00:18,000 and so it's units are in radians/second and the equation that describes this 5 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. 6 00:00:25,000 --> 00:00:28,000 I should put a Δ here. This is how much you've changed your angle. 7 00:00:28,000 --> 00:00:32,000 So let's say we started an angle of 0 degrees, 0 radians were down here, 8 00:00:32,000 --> 00:00:36,000 and I have an angular velocity--let's keep it simple of 1 radian/sec. 9 00:00:36,000 --> 00:00:40,000 So what I want to know is how long will it take to complete one cycle 10 00:00:40,000 --> 00:00:44,000 and you'll have to remember what one cycle means in radians when four cycle 11 00:00:44,000 --> 99:59:59,999 given an angular velocity of 1 radian/second--enter your answer here.