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Unformatted text preview: Physics study guide Amplitude • Its position x as a function of time t is: where A is the amplitude of motion: the distance from the centre of motion to either extreme • T is the period of motion: the time for one complete cycle of the motion • Its position x as a function of time t Frequency • The frequency of motion, f, is the rate of repetition of the motion -- the number of cycles per unit time. There is a simple relation between frequency and period: Angular frequency • Angular frequency is the rotational analogy to frequency. Represented as , and is the rate of change of an angle when something is moving in a circular orbit. This is the usual frequency (measured in cycles per second), converted to radians per second. That is SHM and circular motion Velocity and acceleration Once you know the position of the oscillator for all times, you can work out the velocity and acceleration functions x(t) = A cos (wt + f) • The velocity is the time derivative of the position so: •...
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This note was uploaded on 12/13/2011 for the course MATH 132 taught by Professor Julies during the Fall '08 term at Michigan State University.
- Fall '08