State the accepted value of g for Salt Lake City (see below) and describe how you found this value. You wrote this report to describe your measurement of a physical quantity state your answer clearly, in the form g = _±_ m/sec2. ![]() Results and Conclusions First state your answer. Superimpose on this plot the theoretical curve (Equation 2). Corrections to g: Plot your data for the pendulum period as a function of max. Remember: the axes must have titles and units. Attach pictures and sketches if appropriate. The complete solution to the equation of motion of the pendulum without the small angle approximation is given by Nelson and Olsson : □(□□□□) = □□ (□ + □ □ □□□□ □□□□ □ + □ □□ □□□□ □□□□ □ + ⋯ ) (2) Apparatus Describe apparatus and setup very briefly. When we solve Newton’s 2nd law for a simple pendulum, in the small angle approximation, we get T0 2 = 4π2l/g, (1) where T0 is the period and l the length of the pendulum. ![]() ![]() Here we also collect all the equations that will be used in the analysis of the data. This experiment has been described in great detail in Nelson and Olsson. Studying the motion of a simple pendulum achieves several goals for the physics undergraduate: (1) It allows us to actually determine the value of □, a common parameter often encountered in undergraduate physics problems, to greater precision than is available from textbooks (2) it allows us to test a mathematical model of a physical system, namely that the square of the period of a pendulum is proportional to its length and (3) it gives a transparent introduction to sources of errors and their propagation through an experimental calculation and into the result of the experiment. In this report we will determine g including several corrections, and compare it with the accepted value at the location of Salt Lake City. This 2 equation omits effects such as the variation of ω with the amplitude of the motion. Often the angular frequency of a pendulum is written ω2 = g/l, where g is the acceleration of gravity on the surface of the earth and l is the length of the pendulum. Newton formulated his theory of universal gravitation, including the 1/r2 force law, in about 1666. Of the four forces of nature, the first to be understood quantitatively was gravitation. Introduction Importance of this experiment (Motivation). Write it using your own words including the following information: purpose/goal of your work what technique(s), method(s) and model(s) you used what results you obtained (value of g with corresponding uncertainty) comparison with an accepted value for Salt Lake City. The measured value of g is within _ standard deviations of the accepted value of _m/sec2. We calculate that the correction to our measurement from the finite angular displacement of the bob is _%. The value of □ we find, based on measurements taken in Salt Lake City, is _±_ m/sec2. Abstract Using a simple pendulum and the model that the square of the period of a pendulum is proportional to its length, we report that the model is supported by our data because the relationship between the two parameters is linear based on a □□ value of _ for _ degrees of freedom, calculated from our fit. Remember, keep your lab reports short and to the point. Remember that a paper (your lab report in this case) has to be complete, so everything (text, graphs, results, tables, etc.) has to be tied together. But use your own words when you write your lab reports. The unbolded text provides guidance, tips, and other information necessary to carry out this experiment. The bolded text represents wording or ideas that could be stated or included in an actual handout. This example serves as a template to assist you in writing lab reports for PHYS 3719. ![]() Download Determining the Acceleration Due to Gravity with a Simple Pendulum in Lab and more Physics Lab Reports in PDF only on Docsity!1 PHYS 3719 – Spring 2015 Determining the Acceleration Due to Gravity with a Simple Pendulum (Your name) Advanced Undergraduate Lab, Department of Physics and Astronomy, University of Utah, Salt Lake City, Utah 84112 This is an example of a lab report associated with obtaining the acceleration due to gravity (g) and applying mathematical models.
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