﻿[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.00,0:00:04.00,Default,,0000,0000,0000,,The connection between angle and time is what's known as angular velocity, Dialogue: 0,0:00:04.00,0:00:07.00,Default,,0000,0000,0000,,which we give this symbol ω--it looks sort of like a funny w. Dialogue: 0,0:00:07.00,0:00:12.00,Default,,0000,0000,0000,,In this quantity describes how quickly in radians we progress around this circle Dialogue: 0,0:00:12.00,0:00:18.00,Default,,0000,0000,0000,,and so it's units are in radians/second and the equation that describes this Dialogue: 0,0:00:18.00,0:00:25.00,Default,,0000,0000,0000,,is that the angle is equal to the ω*t--the angular velocity times the elapsed time. Dialogue: 0,0:00:25.00,0:00:28.00,Default,,0000,0000,0000,,I should put a Δ here. This is how much you've changed your angle. Dialogue: 0,0:00:28.00,0:00:32.00,Default,,0000,0000,0000,,So let's say we started an angle of 0 degrees, 0 radians were down here, Dialogue: 0,0:00:32.00,0:00:36.00,Default,,0000,0000,0000,,and I have an angular velocity--let's keep it simple of 1 radian/sec. Dialogue: 0,0:00:36.00,0:00:40.00,Default,,0000,0000,0000,,So what I want to know is how long will it take to complete one cycle Dialogue: 0,0:00:40.00,0:00:44.00,Default,,0000,0000,0000,,and you'll have to remember what one cycle means in radians when four cycle Dialogue: 0,0:00:44.00,9:59:59.99,Default,,0000,0000,0000,,given an angular velocity of 1 radian/second--enter your answer here.