Graphical analysis physics lab9/3/2023 ![]() ![]() In order to obtain better precision I repeated each measurement 10 times. On the Vernier Caliper the smallest difference between markings is 0.01 cm which I assume to be equal to the precision. Therefore I assume that the precision of a value is half the distance between the closest markings: 0.05 cm. Data analysis: Random errors: Reading errors on measuring devices: The circumference was determined using a meter stick with millimeter markings. 2 Transcripts of the raw measurement data are added in Table A1 – A2 at the end of this document. Method 2: Wrap a piece of g around the cylinder and obtain the circumference.Method 1: Roll the cylinder on a piece of paper and measure the distance traveled by a marking on the cylinder after one complete revolution.Method 1: Ruler/meter stick with millimeter markings.Experimental setup and procedure: Measurement of the diameter (d): Hypothesis: the accuracy and precision of the determination of π increases for larger cylinders and are obtained by measuring the diameter with a Vernier Caliper and the circumference by wrapping paper around the cylinder. Since π is known with arbitrary accuracy it is a good example that allows me to evaluate accuracy and precision of my measurements simultaneously. The experiment consisted of determining π from the measurement of the diameter and circumference of cylinders with different diameters. Goal of this lab: Learn about the relationship between measurement and error analysis, how to calculate precision errors and the appropriate use of the terms accuracy and precision. ![]() But we may also ask how consistent our observations are all by themselves, in this case we are interested in precision. When we compare our observations to the measurements of other scientists or to literature values we ask how accurate our obervations are. For the interpretation of our observations it is crucial that we understand the magnitude and origin of errors. An example is the repeated measurement of the length of a piece of paper. ![]() Random errors may be due to reading errors that are sometimes too large, sometimes too small, but appear random. The former is often related to the equipment, for example the needle on a pressure gauge does not go to zero but is slightly off, or we are not looking head down on a scale, or the aero mark of a meter stick is not correctly aligned. To be more specific we distinguish systematic and random errors. Examples are sloppy experimentation, limitations of the equipment, inappropriate equipment… The understanding of the magnitude and origin of these limitations is essential for the discussion of the observations in the context of current knowledge. Experiment 1: Measuring and Error Analysis Introduction: Observations generally have limitations that originate from a variety of sources. The graph shows a linear relationship between mass and extension, with its slope giving the spring’s constant.Download Experiment 1: Measuring and Error Analysis - Sample Lab Report | PHYS 217 and more Physics Lab Reports in PDF only on Docsity!1 Sample lab report PHYS 217 Lab Fall 2008 Lab report: Boris Kiefer 08/20/08 Lab group: Boris Kiefer and John Doe. In this experiment, three different masses were used in three trials, and the data was recorded for graphical representation. The direction of the restoring force is always opposite to the force acting on the spring. If a compression force is used, then the spring shrinks in size in a measure proportional to the force. The extension is directly proportional to the force exerted, in the case of a pulling force. According to Hooke’s law, whenever weight is exerted on a vertically hanging spring, it extends. ![]() Every free object is acted on by the gravitational force of acceleration, giving its weight. Mass is the quantity of matter in an object, given in Kg. Hooke’s law is one of the fundamental principles in physics that defines the relationship between mass exerted and the extension/compression of an elastic material. For this reason, the varying factors were only the mass and extension. In the above equation, the gravitational acceleration was a constant value of 10N/Kg. In essence, although one experiment would give sufficient results, the three trials were important to confirm the application of Hooke’s law. The third trial was used as a control experiment in which the same mass was used twice to show that no change in extension would occur unless an extra weight was added. In the first two trials, different masses were used to show the variation between mass and extension. Since the value is a constant for a particular spring, it has no negative values. From the above equation, the spring constant can be derived from the equation for force. ![]()
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