Legal. All of our measured values were systematically lower than expected, as our measured periods were all systematically higher than the \(2.0\text{s}\) that we expected from our prediction. Save my name, email, and website in this browser for the next time I comment. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Repeat step 4, changing the length of the string to 0.6 m and then to 0.4 m. Use appropriate formulae to find the period of the pendulum and the value of g (see below). /F1 6 0 R Useful for B.Sc., B.Tech Students. %PDF-1.5 To determine the acceleration due to gravity 'g' by using bar pendulumBar PendulumBar Pendulum ExperimentCompound Pendulum ExperimentAcceleration due to grav. We repeated this measurement five times. The period for one oscillation, based on our value of \(L\) and the accepted value for \(g\), is expected to be \(T=2.0\text{s}\). Now for each of the 4 records, we have to calculate the value of g (acceleration due to gravity)Now see, how to calculate and what formula to use.we know, T = 2(L/g) => T2 = (2)2 (L/g) => T2 = 42 (L/g) (i) => g = 42 L / T2 (ii) [equation to find g]. 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. The rod is displaced 10 from the equilibrium position and released from rest. The restoring torque can be modeled as being proportional to the angle: The variable kappa (\(\kappa\)) is known as the torsion constant of the wire or string. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. The period is completely independent of other factors, such as mass and the maximum displacement. /F2 9 0 R The distance between two knife edges can be measured with great precision (0.05cm is easy). 27.8: Sample lab report (Measuring g using a pendulum) (ii) To determine radius of gyration about an axis through the center of gravity for the compound pendulum. The period of a pendulum (T) is related to the length of the string of the pendulum (L) by the equation:T = 2(L/g). Pendulum 1 has a bob with a mass of 10 kg. The mass, string and stand were attached together with knots. The acceleration of gravity decreases as the observation point is taken deeper beneath the surface of the Earth, but it's not the location of the compound pendulum that's responsible for the decrease. Recall that the torque is equal to \(\vec{\tau} = \vec{r} \times \vec{F}\). Reversible (Kater's) Pendulum | Harvard Natural Sciences Lecture We also worry that we were not able to accurately measure the angle from which the pendulum was released, as we did not use a protractor. (PDF) To Determine The Value of g Acceleration due to gravity by means of a compound pendulum Home Acceleration To Determine The Value of g Acceleration due to gravity by. Object: To determine the acceleration due to gravity (g) by means of a compound pendulum. The various results that I have found, reveals that the average value of acceleration due to gravity for Azare area of Katagum Local Government is 9.95m/s 2 which approximately equal to the accepted value of 10.0m/s 2. Thus, by measuring the period of a pendulum as well as its length, we can determine the value of \(g\): \[\begin{aligned} g=\frac{4\pi^{2}L}{T^{2}}\end{aligned}\] We assumed that the frequency and period of the pendulum depend on the length of the pendulum string, rather than the angle from which it was dropped. Experiment-4(Compound pendulum) - E4-Name of the experiment - Studocu Using a simple pendulum, the value of g can be determined by measuring the length L and the period T. The value of T can be obtained with considerable precision by simply timing a large number of swings, but comparable precision in the length of the pendulum is not so easy. Determining the acceleration due to gravity by using simple pendulum. PDF The Simple Pendulum - University of Tennessee A pendulum exhibits simple harmonic motion (SHM), which allowed us to measure the gravitational constant by measuring the period of the pendulum. Accessibility StatementFor more information contact us atinfo@libretexts.org. [] or not rated [], Copyright 2023 The President and Fellows of Harvard College, Harvard Natural Sciences Lecture Demonstrations, Newton's Second Law, Gravity and Friction Forces, Simple Harmonic (and non-harmonic) Motion. This page titled 27.8: Sample lab report (Measuring g using a pendulum) is shared under a CC BY-SA license and was authored, remixed, and/or curated by Howard Martin revised by Alan Ng. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. For the torsion pendulum that rotated around the suspension fiber, it has a high potential sensitivity, while its response to thrust is slow due to the long period. Kater's pendulum - Amrita Vishwa Vidyapeetham The value of g for Cambridge MA is 9.8038 m/s2.Alternatively, one can set up a photogate and time the period of a swing with a laboratory frequency counter.
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