Physics I Lab Manual 2011 26

# Physics I Lab Manual 2011 26 - string to follow a circle of...

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EXPERIMENT 2. MEASUREMENT AND PRECISION be careful not to quote more than the appropriate number of signiﬁcant ﬁgures in your value of π and to include the uncertainty in your result. To calculate the uncertainty in c/d given your measured uncertainties in c and d you can use the rules given in appendix B in the back of the lab manual 2. Determine your measured value of π by averaging the results from each disk. You will have to use the formulas given in appendix B to determine the uncertainty in this value given the calculated uncertainty in π measured for each disk. 3. Determine the percent diﬀerence between the average value of π you have calculated and the accepted value of π =3.14159 ... ± ± ± ± π measured - π accepted π accepted ± ± ± ± × 100% Your accepted value of π should only contain the same number of signiﬁcant ﬁgures as your calculated value. 4. Consider the possibility of a systematic error caused by the width of the string wrapped around the circumference of the circle. Since the ﬁnite width causes the (center of the)
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Unformatted text preview: string to follow a circle of greater diameter than the outer edge of the plexiglas circle, the measured circumference is likely for a larger circle than the measured diameter. Would this systematic error cause the measured value of π to be too big or too small? How can this systematic error be eliminated? ( hint: how much greater is the distance from the center of the circle to the center of the string than to the edge of the circle? ). Explain in your report the cause of this systematic error, and draw a diagram to support your description. Correct the values for the circle diameters to account for this error and recompute π . Example Data and Results Table Disk # Circumference ( c ) Diameter ( d ) c / d 1 393 ± 8 mm 124 ± 2 mm 3 . 17 ± . 08 2 625 ± 2 mm 200 ± 1 mm 3 . 13 ± . 02 3 943 ± 3 mm 290 ± 1 mm 3 . 25 ± . 02 4 1310 ± 10 mm 410 ± 2 mm 3 . 20 ± . 03 16...
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