Live-Experiment: 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Spring oscillator experiment on the didacta.
This experiment uses the accelerometer to measure the oscillator movement and calculates the oscillation period T. Additionally, on the resonance tab, it plots the amplitude against the detected frequency. This way, you can construct a driven oscillator and change its frequency to measure a resonance curve.
Further details:
The oscillation period is obtained through the autocorrelation of the sum of all three accelerometer components. The autocorrelation is then analyzed for its first maximum for a first estimate and then the last maximum of the autocorrelation is used to get a more precise result.
Live-Experiment: FederpendelExperimentalphysik I
Federpendel-Experiment auf der didacta.
Dieses Experiment nutzt den Beschleunigungssensor um die Pendelbewegung zu erfassen und berechnet hieraus die Schwingungsperiode T. Außerdem wird auf der Resonanz-Seite die Amplitude der Schwingung gegen die ermittelte Frequenz geplottet. Auf diese Weise kannst du ein getriebenes Pendel (erzwungene Schwingung) bauen und durch verstellen der Frequenz die Resonanz ausmessen.
Weitere Details:
Die Schwingungsperiode wird durch eine Autokorrelation der Summe der drei Komponenten des Beschleunigungs-Vektors ermittelt. Im Ergebnis der Autokorrelation wird dann nach dem ersten Maximum gesucht, die als erste Schätzung der Frequenz genutzt wird. Die genaue Frequenz folgt dann aus dem letzten Maximum der berechneten Autokorrelation.
ErgebnissePeriodeFrequenzResonanzRel. Amplitude (a.u.)Frequenz (Hz)AutokorrelationKorrelation (a.u.)RohdatenBeschleunigung zAuf dieser Seite wird die Amplitude gegen die ermittelte Frequenz aufgetragen. Du kannst hiermit die Resonanz eines getriebenen Pendels ausmessen. Die Amplitude wird auf den Bereich 0 bis 1 normiert.Beschleunigung xBeschleunigung yRel. AmplitudeKorrelationMasseQualitättaccXaccYaccZaccSummaxTminTsubAccsubTautocorrelation_tautocorrelationdtt0t1t2search_tsearch_yperiodEstimatefactorsmultiplesmultipleFactormultiplePeriodperiodHalffineSearchMinfineSearchMaxfineSearchfineSearch_tfineSearchResultfineSearchMaxfirstMaxqualityperiodfrequencyavgmstatetimeageuniqueIDmfrequencyquality
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