Physics Unit 4 Oscillations and Waves

So far this shows the 4.1 part of unit 4 and will soon be added to. I will also soon be uploading lots of worked examples in more detail. 

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  • Created by: Milly
  • Created on: 08-04-13 09:54
Preview of Physics Unit 4 Oscillations and Waves

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4.1 Kinematics of simple harmonic motion
Oscillations: the movement of a body about a central position
a regular periodic variation in a value about a mean
4.1.1 Describe examples of oscillations
Swings, pendulums and springs create oscillations
A complete oscillation is ACA. This is called one cycle or 2 radius
At B the bob will rest if undisturbed and this is the equilibrium position
4.1.2 Define terms
Displacement: vector quantity of distance, meaning it has direction. Unit: m
Amplitude: (Xo) the maximum displacement from the equilibrium position (BA or
BC) Unit: m
Frequency: (f) the number of cycles the pendulum makes per unit time. Unit: s-1 or
hertz (Hz) F=1/T
Time period: (T) time taken for one complete cycle. Unit=second T=1/f
Phase difference: the measure of how 'in step' different particles are.
(Angular frequency: () 2radss-1 means the body makes one revolution per
second. Unit: s-1 or hertz (H)

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Worked Example: A pendulum completes 10 swings in 8 seconds, what is its angular
frequency?
8/10= 0.8 s (T)
f=1/T f=1/0.8=1.25Hz
=2f =21.25=7.8 radss-1
4.1.3 Define SHM
Simple harmonic motion: an oscillation where the acceleration is proportional to the
disturbance from the equilibrium position and always directed towards it
a= -2x
4.1.4 Solve problems using the defining equation of SHM
Worked example: A pendulum is swinging with a frequency of 0.5 Hz.…read more

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Solve problems, graphically and by calculation, for acceleration, velocity and
displacement during SHM.…read more

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