An accurate formula for the period of a simple pendulum oscillating beyond the small angle regime

被引：69
作者：
Lima, F. M. S.
Arun, P.
机构：
[1] Univ Brasilia, Inst Fis, BR-70919970 Brasilia, DF, Brazil
[2] Univ Nova Delhi, SGTB Khalsa Coll, Dept Phys & Elect, Delhi 110007, India
来源：
AMERICAN JOURNAL OF PHYSICS | 2006年 / 74卷 / 10期
关键词：
D O I：
10.1119/1.2215616
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
A simple approximate expression is derived for the dependence of the period of a simple pendulum on the amplitude. The. approximation is more accurate than other simple relations. Good agreement with experimental data is verified. (c) 2006 American Association of Physics Teachers.
引用
收藏
页码：892 / 895
页数：4
相关论文
共 19 条
[1]  
ABRAMOWITZ M, 1968, HDB MATH FUNCTIONS, P589
[2]   Simple pendulum revisited [J].
Aggarwal, N ;
Verma, N ;
Arun, P .
EUROPEAN JOURNAL OF PHYSICS, 2005, 26 (03) :517-523
[3]   MEASUREMENT OF SIMPLE PENDULUM MOTION USING FLUX-GATE MAGNETOMETER [J].
ARAKI, T .
AMERICAN JOURNAL OF PHYSICS, 1994, 62 (06) :569-571
[4]   EFFECT OF MASS OF CORD ON PERIOD OF A SIMPLE PENDULUM [J].
ARMSTRONG, HL .
AMERICAN JOURNAL OF PHYSICS, 1976, 44 (06) :564-566
[5]  
Curtis RK, 1981, PHYS TEACH, V19, P36
[6]   COMMENT ON EFFECT OF MASS OF CORD ON PERIOD OF A SIMPLE PENDULUM [J].
EPSTEIN, ST ;
OLSSON, MG .
AMERICAN JOURNAL OF PHYSICS, 1977, 45 (07) :671-672
[7]  
Fay T H, 2002, INT J MATH ED SCI TE, V33, P505, DOI DOI 10.1080/00207390210130868
[8]   THEORETICAL AND EXPERIMENTAL STUDY OF MOTION OF SIMPLE PENDULUM [J].
FULCHER, LP ;
DAVIS, BF .
AMERICAN JOURNAL OF PHYSICS, 1976, 44 (01) :51-55
[9]  
Kidd R B., 2002, Phys. Teach, V40, P81, DOI [10.1119/1.1457310, DOI 10.1119/1.1457310]
[10]  
Millet L. E., 2003, Phys. Teach, V41, P162, DOI [10.1119/1.1557505, DOI 10.1119/1.1557505]
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