4al Lab #6.12 - (estimated error There is a fairly...

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Calculation of Q from the resonance peak (with comparisons): Q from resonance peak (driven 50mm) Q from lightly damped 50mm Absolute Difference Percent Difference 29.04 ± 0.0200 32.2878 ± 0.0134 3.2478 10.059 % Where: b Ik Q Q calculated using “I” and “b”. ? = ? ? ∆? Calculating Q from the resonance peak ∆ = |? − ? 𝐿𝑎?? ?𝑖?? | Difference in Q. 𝛿 = 2∆ ?+ ? 𝐿𝑎?? ?𝑖?𝑒 Calculations: The amplitude at resonance is 11.2 rotary counts. When the amplitude falls to 1 √2 this value, there is 7.848 rotary counts. The width of the peak at this point is roughly 0.025 Hz. Thus… ? ??????𝑎??? = ? ? ∆? 0.726?𝑧 0.025?𝑧 = 29.04. ? ??????𝑎??? = 29.04 ± 0.0200 (estimated error)
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Unformatted text preview: (estimated error) There is a fairly significant difference between the calculated values for Q. This is likely due to the fact that although both systems are subjected to the same damping force of the magnets, one of the systems is being driven whereas the other on is not. There also could have been some error in selecting the portion of the graph to take the width at. Further Analysis: It is definitely possible that the bearings of the CI6538 may not have been perfect and caused and the friction in the pendulum might have caused the pendulum to slow a bit during the trials. One way to estimate the effect of this frictions is to just allow the pendulum system to...
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