IB+DP+Engineering+physics

B.4 - Forced vibrations and resonance **Essential idea:** In the real world, damping occurs in oscillators and has implications that need to be considered. Published on 2 Apr 2016 || [|Resonance: A Perfect Experiment] from youtube.com by [|perihelion.gr] Published on 10 Nov 2012 ||
 * media type="youtube" key="ATAKE76-hTk" width="560" height="315" || media type="youtube" key="iyw4AcZuj5k" width="560" height="315" ||
 * [|The World's Busiest Airport : Engineering Connections]

// Risk assessment: The ideas of resonance and forced oscillation have application in many areas of engineering ranging from electrical oscillation to the safe design of civil structures. In large-scale civil structures, modelling all possible effects is essential before construction. (4.8) //
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// • Natural frequency of vibration // // • Q factor and damping // // • Periodic stimulus and the driving frequency // // • Resonance //
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// • Qualitatively and quantitatively describing examples of under-, over- and criticallydamped oscillations //
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// • Communication through radio and television signals is based on resonance of the broadcast signals //
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// • Science and technology meet head-on when the real behaviour of damped oscillating systems is modelled // • Graphically describing the variation of the amplitude of vibration with driving frequency of an object close to its natural frequency of vibration • Describing the phase relationship between driving frequency and forced oscillations • Solving problems involving Q factor • Describing the useful and destructive effects of resonance
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• Only amplitude resonance is required
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• Q = 2 π (energy stored / energy dissipated per cycle) • Q = 2π × resonant frequency × (energy stored / power loss)
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• Aim 6: experiments could include (but are not limited to): observation of sand on a vibrating surface of varying frequencies; investigation of the effect of increasing damping on an oscillating system, such as a tuning fork; observing the use of a driving frequency on forced oscillations • Aim 7: to investigate the use of resonance in electrical circuits, atoms/molecules, or with radio/television communications is best achieved through software modelling examples
 * // Aims: //**

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