Lab.

Objectives

The learning objective of this lab is for you to practice linearizing a set of data and extracting useful information from it. This type of analysis is very common throughout all of science and engineering. It will also serve you well in future Physics lab reports.

While that summarizes the learning objecting, the experimental goal of this lab is for you to measure the constant from data that I provide to you. You'll also get accustomed to some of the required components of formal physics lab reports. Briefly, the typical sections in a formal lab report that I require are:

• Introduction: Explains what the goal of the lab is and what you expect
• Theory: Explains what physics predicts in terms of relationships, including slopes of graph.
• Procedure: Explains how data was gathered and how uncertainty of the raw data was determined.
• Data: Provides the reader all raw data and uncertainty.
• Analysis: Uses the data and as described previously in theory to calculates the final answer. This is often done using the slope of some new graph.
• Conclusion: Reminds the reader what the goal was and states clearly the outcome and gives any other useful discussion.

You won't be doing all of the sections above, only Theory, Data, Analysis, & Conclusion since those are typically the areas that students need the most practice on.

You are welcome to work together on this lab, but every person must turn in their own assignment, and what you turn in must represent your own understanding. Don't hesitate to ask me or others questions if you need help.

4. NJ 9'. Eventually you will plot A vs D2, but before that you will need to compute the D2 values and the associated uncertainties (\"132). Thus, create a new table of the A and 02 values that you will plot, along with their uncertainties. Don't forget units, and round all values using the conventions discussed in lecture; this means there shouldn't be any mistakes in your table as there were in the original given data above. (FYI, tables like this where you are manipulating the original data usually belong in the Analysis section.) . Now make a graph ofA vs D2. Your graph should have (1) good axes, (2) a title, {3) uncertainty bars for every data point, and (4) straight "best fit\" lines that will make it easy for you to get the best slope and the slope's uncertainty. Make sure your graph is easily readable in your document; the numbers on the axes and any t info should be easily readable. (FYI, graphs like this typically belong in the Analysis section of formal lab reports.) . State clearly what your best-fit slope is and what its uncertainty is. Be sure to simplify any units. . State clearly what your vertical intercept is and what its uncertainty is. Be sure to simplify any units. . Now that you know the slope and its uncertainty. use them to calculate the value of n and its uncertainty. (FYI, this and the previous two items are typically done in the Analysis portion of formal lab reports. Notice how we are getting a single value ofn from all the data points all at once, rather than six individual values of :7.) Determine whether your value of it agrees or disagrees with the accepted value of 3.1416 i 0.0001. Explain in one sentence how you know it agrees or disagrees. Data Imagine that a group of students have circles of different sizes. They measure the diameter and area of each circle along with the uncertainty of each of their measurements. Their data is provided below. There are also some mistakes in the data; we'll deal with the mistakes soon. Diameter Area [cmA 2) {cm} 355i019 12i1 4.7 i 0.2 18.0 i 1.1 6.81 i 0.3 32 i 2 84:03 55 i2.0 8.8 : 0.4 58.9 : 1.8 8.9 : 0.2 62.6 : 4.9