Measurement of the Speed of Sound in Air Medium using Lissajous Patterns

International Journal of Electrical and Electronics Engineering
© 2015 by SSRG - IJEEE Journal
Volume 2 Issue 11
Year of Publication : 2015
Authors : P. B. Varvadiya, P. D. Patel, A. McEwan
: 10.14445/23488379/IJEEE-V2I11P102
pdf
Citation:
MLA Style:

P. B. Varvadiya, P. D. Patel, A. McEwan, "Measurement of the Speed of Sound in Air Medium using Lissajous Patterns" SSRG International Journal of Electrical and Electronics Engineering 1.1 (2015): 5-8 .

APA Style:

P. B. Varvadiya, P. D. Patel, A. McEwan,(2015). Measurement of the Speed of Sound in Air Medium using Lissajous Patterns. SSRG International Journal of Electrical and Electronics Engineering 2(11), 5-8 .

Abstract:

Our present work focuses on the beautiful but simple technique for determination of the speed of sound using analysis of the Lissajous patterns obtained on the oscilloscope. The horizontal axis displays the signal input to a loudspeaker while the vertical axis displays the changing signal picked up by a microphone as it is moved to a known distance away from the source. We have taken into consideration the approach of acoustic interferometer in order to predict the Lissajous patterns.

References:

[1] Hisham A. H. AL-KHAZALI, Mohamad R. ASKARIJ.;IOSR Journal of Engineering,May 2012, Vol. 2(5) pp: 971-978.
[2] D. Wells, The penguin dictionary of curious and interesting geometry (London: Penguin, 1991).
[3] J. D. Lawrence, A catalog of special plane curves (New York: Dover, 1972).
[4] Mac Tutor History of Mathematics Archive. Lissajous Curves. http://wwwgroups. dcs.stand.ac.uk/~history/Curves/Lissajous.html.
[5] Speed of Sound Using Lissajous Figures; Richard E. Berg and Dieter R. Brill.
[6] H.J. Wintle, “Measurement of the velocity of sound in gases,” Am. J. Phys.31, 942–943 (Dec. 1963).
[7] Jon P. Vickery, “Determination of the velocity of sound in air,” Phys. Teach. 3, 170–171 (April 1965).
[8] W.W. Sleator, “Proofs of the equation U= (E/ )1/2 for the velocity of sound,” Am. J. Phys.17,51–62 (Feb. 1949).
[9] Austin J. O’Leary, “On a derivation of the equation for the speed of sound by W.W. Sleator,” Am. J. Phys.25, 115–116 (Feb. 1957).
[10] H. Cundy, and A. Rollett, Lissajous's figures in mathematical models (3rd ed. Stradbroke, England: Tarquin Pub., 1989).
[11] A. Gray, Modern differential geometry of curves and surfaces with mathematica (2nd ed. Boca Raton, FL: CRC Press, 1997)
[12] J. D. Lawrence, A catalog of special plane curves (New York: Dover, 1972).
[13] W. Eric. Weisstein, Lissajous Curve from MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/LissajousCurve.html.
[14] Z. Yu-feng, L. Xiao-hui, LI Di-kang, The vibrating frequency and the curve of energy attenuation obtained by using Laser Lissajous Figure, Journal of Foshan University (Natural Science Edition, Physics School of Physics & Telecommunication Engineering, South China Normal University, Guangzhou 510006, 3, China, 2011.
[15] L. Jianjun, W. Baihai, W. Guocheng, Contrastive research on algorithm for real-time estimate of phase difference of pair of ultrasonic rays, Journal Machine Tool & Hydraulics; (Faculty of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510090, 8, China, 2006.
[16] H. Xian-qun, Z. Qing, Using excel study on the synthesis of harmonic vibration, Journal of Science & Technology Information, Department of Physics and Electronic Engineering, Hanshan Normal University, Chaozhou Guangdong,521041, 1, China, 1997.
[17] L. Xiao-yong Lu Pei Huang Xu-chu1 Jing Qun Tang Guanghui, Virtual Simulation of Lissajous Figure by Computer, Journal of Science & Technology Information; Key Laboratory of Ecology and Department of Physics, Teachers College, Shihezi University, Shihezi Xinjiang, 832003, China; College of Information Science & Technology, Shihezi University, Shihezi Xinjiang,832003, 13, China, 2010.
[18] Y. Ji-Xian, Study on the properties of lissajous' figures, Journal of Xihua University (Natural Science Edition); Physics Experiment Centre, Xihua University, Chengdu 610039,6, China, 2008.
[19] W. Jian-bo, H. Shi-hua, Z. Jian-long, L. Wei, Theoretical and experimental research of Lissajous figures of square wave, Journal of Physics Experimentation; Department of Physics, Zhejiang Normal University, Jinhua 32100,4, China, 2008.
[20] D. E. Bentley, C. T. Hatch, and B. Grissom, Fundamentals of rotating machinery diagnostics, (Bentley Pressurized Bearing Press, Minden, Nev., USA, 2002).
[21] D. J. Ewins, Modal testing: theory and practice (John wily & Sons, London, England, 1984).
[22] M.S. Wu and W.H. Tsai, Corrections for Lissajous figures in books, American Journal of Physics, 52, 1984, 657-658.
[23] Y. Ji-xian, Study on the synthesized path of two simple harmonic vibrations with one vertical to another, Journal of Xihua University (Natural Science Edition); (Physics Experiment Centre, Xihua University, Chengdu 610039, 2, China, 2008.
[24] H. Guang, Yiyang, Demonstrating Lissajous figures with MATLAB and their applications, Journal of China Science and Technology Information; Electronic & Industrial College, Yiyang Hunan 413054, 2, China, 2008.

Key Words:

 Speed of Sound, Lissajous Patterns, Acoustic Interferometer.