Acceleration due to gravity by using Bar Pendulum | Compound Pendulum The period is completely independent of other factors, such as mass and the maximum displacement. We first need to find the moment of inertia of the beam. We transcribed the measurements from the cell-phone into a Jupyter Notebook. The mass of the string is assumed to be negligible as compared to the mass of the bob. Length . Best on the results findings, it showed that the Rafin Tambari has the highest value of acceleration due to gravity which is (10.2 m/s 2). This experiment is discussed extensively in order to provide an example of how students should approach experiments and how experimental data should be processed. Solved 1. In an experiment to determine the acceleration due - Chegg The length should be approximately 1 m. Move the mass so that the string makes an angle of about 5 with the vertical. The angular frequency is, \[\omega = \sqrt{\frac{mgL}{I}} \ldotp \label{15.20}\], \[T = 2 \pi \sqrt{\frac{I}{mgL}} \ldotp \label{15.21}\]. In the case of the physical pendulum, the force of gravity acts on the center of mass (CM) of an object. Surprisingly, the size of the swing does not have much effect on the time per swing . Experiment-4(Compound pendulum) - E4-Name of the experiment - Studocu Some of our partners may process your data as a part of their legitimate business interest without asking for consent. To determine the acceleration due to gravity (g) by means of a compound pendulum. Retort stand, boss head, and clamp, string and mass bob, Stopwatch, rulerif(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[300,250],'physicsteacher_in-box-4','ezslot_5',148,'0','0'])};__ez_fad_position('div-gpt-ad-physicsteacher_in-box-4-0'); Record the data in the table below following the instructions in the section above. We thus expect that we should be able to measure \(g\) with a relative uncertainty of the order of \(1\)%. /F6 21 0 R The period is completely independent of other factors, such as mass. Find more Mechanics Practical Files on this Link https://alllabexperiments.com/phy_pract_files/mech/, Watch this Experiment on YouTube https://www.youtube.com/watch?v=RVDTgyj3wfw, Watch the most important viva questions on Bar Pendulum https://www.youtube.com/watch?v=7vUer4JwC5w&t=3s, Please support us by donating, Have a good day, Finally found the solution of all my problems,the best website for copying lab experiments.thanks for help, Your email address will not be published. This removes the reaction time uncertainty at the expense of adding a black-box complication to an otherwise simple experiment. We and our partners use data for Personalised ads and content, ad and content measurement, audience insights and product development. xZnF}7G2d3db`K^Id>)_&%4LuNUWWW5=^L~^|~(IN:;e.o$yd%eR# Kc?8)F0_Ms
reqO:.#+ULna&7dR\Yy|dk'OCYIQ660AgnCUFs|uK9yPlHjr]}UM\jvK)T8{RJ%Z+ZRW+YzTX6WgnmWQQs+;$!D>Dpll]HxuC0%X/3KU{AaLKKVQ j!uw$(0ik. This method for determining g can be very accurate, which is why length and period are given to five digits in this example. We and our partners use cookies to Store and/or access information on a device. gravity by means of a compound pendulum. University Physics I - Mechanics, Sound, Oscillations, and Waves (OpenStax), { "15.01:_Prelude_to_Oscillations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "15.02:_Simple_Harmonic_Motion" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "15.03:_Energy_in_Simple_Harmonic_Motion" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "15.04:_Comparing_Simple_Harmonic_Motion_and_Circular_Motion" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "15.05:_Pendulums" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "15.06:_Damped_Oscillations" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "15.07:_Forced_Oscillations" : "property get [Map 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"zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, [ "article:topic", "Pendulums", "authorname:openstax", "simple pendulum", "physical pendulum", "torsional pendulum", "license:ccby", "showtoc:no", "program:openstax", "licenseversion:40", "source@https://openstax.org/details/books/university-physics-volume-1" ], https://phys.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fphys.libretexts.org%2FBookshelves%2FUniversity_Physics%2FBook%253A_University_Physics_(OpenStax)%2FBook%253A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)%2F15%253A_Oscillations%2F15.05%253A_Pendulums, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), Example \(\PageIndex{1}\): Measuring Acceleration due to Gravity by the Period of a Pendulum, Example \(\PageIndex{2}\): Reducing the Swaying of a Skyscraper, Example \(\PageIndex{3}\): Measuring the Torsion Constant of a String, 15.4: Comparing Simple Harmonic Motion and Circular Motion, source@https://openstax.org/details/books/university-physics-volume-1, State the forces that act on a simple pendulum, Determine the angular frequency, frequency, and period of a simple pendulum in terms of the length of the pendulum and the acceleration due to gravity, Define the period for a physical pendulum, Define the period for a torsional pendulum, Square T = 2\(\pi \sqrt{\frac{L}{g}}\) and solve for g: $$g = 4 \pi^{2} \frac{L}{T^{2}} ldotp$$, Substitute known values into the new equation: $$g = 4 \pi^{2} \frac{0.75000\; m}{(1.7357\; s)^{2}} \ldotp$$, Calculate to find g: $$g = 9.8281\; m/s^{2} \ldotp$$, Use the parallel axis theorem to find the moment of inertia about the point of rotation: $$I = I_{CM} + \frac{L^{2}}{4} M = \frac{1}{12} ML^{2} + \frac{1}{4} ML^{2} = \frac{1}{3} ML^{2} \ldotp$$, The period of a physical pendulum has a period of T = 2\(\pi \sqrt{\frac{I}{mgL}}\).
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