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Equation for Egg Volume Calculation Based on Smart’s Model

Author

Listed:
  • Yu-Kai Weng

    (Department of Bio-Industrial Mechatronics Engineering, National Chung Hsing University, Taichung 40227, Taiwan)

  • Cheng-Han Li

    (Department of Bio-Industrial Mechatronics Engineering, National Chung Hsing University, Taichung 40227, Taiwan)

  • Chia-Chun Lai

    (Department of Bio-Industrial Mechatronics Engineering, National Chung Hsing University, Taichung 40227, Taiwan)

  • Ching-Wei Cheng

    (Department of Computer Science and Information Engineering, National Taichung University of Science and Technology, Taichung 40401, Taiwan)

Abstract

In the egg industry, it is necessary to estimate the egg volume accurately when estimating egg quality or freshness in a non-destructive method. Egg volume and weight could obtain egg density and could be used to determine egg freshness. Therefore, the egg geometric must be obtained first to establish a volume equation with a geometric shape. This research proposes an innovative idea to derive the mathematical model and volume equation of egg shape, calculate its volume, and verify the accuracy of the mathematical equation proposed using the volume displacement method. Using the proposed equation, the minimum error between the calculated egg volume) and actual egg volume is 0.01%. The maximum volume error does not exceed 2%. The egg shape equation can accurately draw the outer contour curve of the egg by the half-length of the maximum long axis and maximum breadth of the short axis, and the distance from the center point of the egg to the maximum breadth ( x m ).

Suggested Citation

  • Yu-Kai Weng & Cheng-Han Li & Chia-Chun Lai & Ching-Wei Cheng, 2022. "Equation for Egg Volume Calculation Based on Smart’s Model," Mathematics, MDPI, vol. 10(10), pages 1-9, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1661-:d:814267
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    Cited by:

    1. Wen Zhang & Xiaofeng Xu & Jun Wu & Kaijian He, 2023. "Preface to the Special Issue on “Computational and Mathematical Methods in Information Science and Engineering”," Mathematics, MDPI, vol. 11(14), pages 1-4, July.

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