PSYCH 3A03 Lecture Notes - Simple Harmonic Motion, Circular Motion, Unit Circle

• School: McMaster University
• Department: Psychology
• Course: PSYCH 3A03
• Professor: Paul Faure

Document Summary

For any object executing uniform circular motion, we expect the angle to increase linearly with time. = angular rotation frequency ( = 2 t), or the number of radians/s and t = time. A describes the radius of the circle. Is an irrational number (i. e. has an infinite number of decimal places) Is defined as the distance along the circumference from one side to the other of a circle with a radius (r) or length of one (r = 1) The circumference (c) of a circle is defined as c = 2 r. Interesting relationships of the unit circle tan = sin /cos . This can be shown by rearranging the defined equations x = cos ; and y = sin . Other interesting relations that emerge directly from the unit circle are: Moment around the circle is called simple harmonic motion or uniform motion.