A comparison of gravitational acceleration measurement methods for undergraduate experiment

Suwanpayak, N.; Sutthiyan, S; Kulsirirat, Kathawut; Srisongkram, P; Teeka, C.; Buranasiri, Prathan

doi:10.1088/1742-6596/1144/1/012001

Cited by 8 publications

(9 citation statements)

References 9 publications

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“…This indicates an error rate below 1%, values comparable to some results reported in the literature and conducted with traditional experiments to calculate the acceleration of gravity. For example, Suwanpayak et al [22] obtained error percentages of 0.41%, 1.43%, 10.91%, and 6.73% for the free fall, simple pendulum, physical pendulum, and Atwood machine experiments, respectively. Qiang and Fugang [23] obtained error percentages of 0.96%, 4.83%, 4.18%, and 0.44% in similar practices to get accelerated gravity.…”

Section: Resultsmentioning

confidence: 99%

“…To have a reference gravity value to compare the measurements conducted in the two Colombian cities, we used an approximation based on the International Gravity Formula (IGF) of 1980 ([15]). In this approximation, the System Geodetic Reference (GRS80) parameters, which take into account gravity from latitude position, and Free Air Correction (FAC), which corrects for height above and below mean sea level [13, 21, 22] in the open air. This expression is:

\text{IGF}\,=9.780327(1+0.0053024{\sin }^{2}\varphi -0.0000058{\sin }^{2}2\varphi ),\text{FAC}\,=-3.086\times {10}^{-6}\times {\rm{h}},g=\text{IGF}+\text{FAC},

where g is the local theoretical gravity, IGF is the International Gravity Formula, FAC is the Free Air Correction, Φ is the latitude, and h is the height relative to sea level [13].…”

Section: Description Of the Experimentsmentioning

confidence: 99%

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Measurement of gravity in laboratories for fundamental physics using mobile devices: An approach from the Internet of Things

Muñoz‐Hernandez,

Maria Metaute,

Lopera Sepulveda

et al. 2023

Comp Applic In Engineering

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In this work, we present IoT, a freeware application for Android mobile devices that belongs to the remote laboratory platform called IoT.PhysicsSensor Mobile Edition. It incorporates the potentialities of the IoT to acquire, store, visualize, and analyze data using smartphones. This application, integrated into low‐cost hardware, can be used to conduct online and real‐time laboratory practices. Additionally, hundreds of users can be connected to the lab without limiting their participation due to the physical location or equipment available in the facilities. To test the capabilities of the architecture proposed in this work, a practice to measure the value for the acceleration of gravity from a free‐fall experience was designed. A group of 101 students from the Universidad Nacional de Colombia‐Sede Medellin and another of 63 students from Universidad Nacional de Colombia‐Sede de La Paz, Cesar, participated in the practice, thus obtaining results with a high degree of accuracy and precision and excellent reproducibility. This platform is emerging as a critical tool to face the digital transformation of educational environments, including those generated by the COVID‐19 pandemic.

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Section: Resultsmentioning

confidence: 99%

\text{IGF}\,=9.780327(1+0.0053024{\sin }^{2}\varphi -0.0000058{\sin }^{2}2\varphi ),\text{FAC}\,=-3.086\times {10}^{-6}\times {\rm{h}},g=\text{IGF}+\text{FAC},

where g is the local theoretical gravity, IGF is the International Gravity Formula, FAC is the Free Air Correction, Φ is the latitude, and h is the height relative to sea level [13].…”

Section: Description Of the Experimentsmentioning

confidence: 99%

Measurement of gravity in laboratories for fundamental physics using mobile devices: An approach from the Internet of Things

Muñoz‐Hernandez,

Maria Metaute,

Lopera Sepulveda

et al. 2023

Comp Applic In Engineering

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“…It can also be applied to the class of experiments in which a cart slides on the air track (inclined or horizontal) subject to a tension force of a string tied to a pending mass, in the experiments performed to verify the Newton's second law [15]. Note that this acceleration measure can also be applied to experiments without the presence of the air track, as in the measurement of the free-fall acceleration with an Atwood machine [16].…”

Section: Discussionmentioning

confidence: 99%

Optimizing acceleration measurements using a single photogate

2021

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Measuring the acceleration of a glider on a slightly inclined air track is a typical activity in different experiments in didactic physics laboratories. In this paper, we discuss acceleration measurements derived directly from the quantity Δv/Δt, testing its reproducibility with several time sensors (photogates). Using a standard lab equipment we show that acceleration measurements using two photogates strongly depend on the photogates used and even on the distance between them, what can frustrate the goals of the experiment. The technical aspects behind that unexpected behavior can be partially overcome by working with a single photogate in a method where the glider is launched uphill and its speed is measured in the ascending and the descending motion. Using this alternative approach we were able to reduce discrepancies by a factor of 6, down to less than 1%. For both methods, the systematic errors between photogates surpass the statistical uncertainties for each photogate. Finally, we show that these discrepancies can be explained by an offset of the order of 1 ms in time measurements.

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“…There are several experiments that can be used to determine the value of the Earth's gravitational acceleration. Example: Simple Classical pendulum, A rotating water column, and the establishment of the focal length of the resulting inner column water paraboloid, and Atwood's machine [2,3]. However, the current balance is used because this equipment is still relatively new in determining the value of the Earth's gravitational acceleration in the laboratory (gLab).…”

Section: Methodsmentioning

confidence: 99%

“…One of the basic parameters attached to the Earth is the acceleration due to gravity, which is closely related to everyday life [2]. Acceleration due to the gravity of the Earth is the acceleration of a body caused by the gravitational field acting on the body towards the center of the Earth [3]. Earth's gravitational acceleration is influenced by the position of the height and mass of the object so that the magnitude of the Earth's gravitational acceleration value in each region will be different [4].…”

Section: Introductionmentioning

confidence: 99%

The Magnetic Properties Measurement of Coil for Gravitational Acceleration Determination

Salawane

Supriyadi

Talapessy

et al. 2020

SPEKTRA

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The value of the gravitational acceleration of the earth above the earth’s surface depends on the position of the latitude and longitude of the earth’s surface, in other words, because the shape of the earth’s surface is not round like a ball. The magnitude of gravity is not the same everywhere on the surface of the earth. The purpose of this study is to analyze the value of the earth’s gravitational acceleration in a laboratory using a current balance with a graphical method. Fluctuations in the value of the magnetic field strength (B) and the value of the electric current strength (i) on the current balance cause the value of laboratory gravitational acceleration (glab) to vary in the transfer of electric charge (q) according to coil type. The magnitude of the earth’s gravitational acceleration value obtained in a laboratory with a current balance for each type of coil is as follows: SF-37 glab-nr=9.89 m/s2, SF-38 glab-nr=9.90 m/s2, SF-39 glab-nr=9.76 m/s2, SF-40 glab-nr=9.95 m/s2, SF-41 glab-nr=9.75 m/s2 dan SF-42 glab-nr=9.93 m/s2. The results obtained indicate that the value of the earth’s gravitational acceleration in a laboratory close to the literature value is the value of the glab-nr in the SF-37 coil type of 9.89 m/s2.

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A comparison of gravitational acceleration measurement methods for undergraduate experiment

Cited by 8 publications

References 9 publications

Measurement of gravity in laboratories for fundamental physics using mobile devices: An approach from the Internet of Things

Measurement of gravity in laboratories for fundamental physics using mobile devices: An approach from the Internet of Things

Optimizing acceleration measurements using a single photogate

The Magnetic Properties Measurement of Coil for Gravitational Acceleration Determination

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