ERIC Number: EJ1354915
Record Type: Journal
Publication Date: 2022-Jul
Pages: 6
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0031-9120
EISSN: EISSN-1361-6552
Available Date: N/A
Limits of the Simple Pendulum Formula for Classroom Use
Physics Education, v57 n4 Article 045016 Jul 2022
We discuss the limits of the equation of the period of a simple pendulum, T[subscript s] = 2[pi][square root]l/g, frequently used in high-school and university classrooms to measure the acceleration of gravity. We evaluate the relative error in determining the acceleration of gravity with this simple equation instead of a more realistic one, taking into account the string's mass, the bob's radius, and finite angular displacements. We show that the bob radius and finite angular displacements increase the period of oscillation of the pendulum and, hence, contribute to a positive deviation in the value of "g" calculated with the simple pendulum formula. On the other hand, the string's mass decreases the pendulum's period and induces a negative deviation in the value of "g." As a result, it is possible to adapt the pendulum's characteristics to use the simple pendulum formula and calculate "g" with accuracy.
Descriptors: Physics, Teaching Methods, Science Instruction, Accuracy, Equations (Mathematics), Undergraduate Students, Measurement, Computation, Comparative Analysis, Error Patterns, Science Experiments, Foreign Countries
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Portugal (Lisbon)
Grant or Contract Numbers: N/A
Author Affiliations: N/A