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©2016flippedaroundphysics.com
6.2.1OscillationsOscillationsaremovementsbackandforthinarepeatingpattern.Twoexamplesarethesimplependulumandthemassonaspring(springpendulum).
Pendulum
(1)!Sketchthedisplacementofthebob(fromequilibrium)withtime.
(2)!Whatmathematicalfunctioncouldbeusedtodescribethisgraph?
Massonaspring
Themassoscillatesupanddowninarepeatingpattern.
(3)!Sketchagraphofthedisplacementofthemassfromtheequilibriumpositionagainsttime.
(4)!Markonyourgraphtheperiodoftheoscillation.LabelitT.
(5)!Atwhatpointswouldthemassbemovingfastest?Markonthegraphwherethiswouldoccur.Labelitvmax.
(6)!Onthegraph,above,markontheamplitudeoftheoscillation(labelitA),anddescribewhatamplitudeis.
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©2016flippedaroundphysics.com
Angularfrequency
Angularfrequencyisdefinedas:
𝜔 =2𝜋𝑇 = 2𝜋𝑓
Theunitsareradianspersecond(rads-1).
(7)!Ifaparticularoscillatoroscillateswithaperiodof0.125s,whatistheangularfrequency?
(8)!Describewhatyouthinkangularfrequencyrepresents.
PhaseDifference
Youhavecomeacrossphasedifferencebeforeinthetopicofwaveinterference.Phasedifferenceisanangle,andrepresentstheangulardifferencebetweentwooscillationswiththesamefrequency.
Phasedifferencecanbeexpressedasanangleindegreesorinradians.
(9)!Sketchwaveswhichhaveaphasedifferenceofi)90°,ii)π/8rad