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Rowing: a similarity analysis.

T A McMahon

    Science (New York, N.Y.)
    |July 23, 1971
    PubMed
    Summary
    This summary is machine-generated.

    Racing shell speed increases with the number of oarsmen, following a 1/9 power law. This model helps optimize shell design for both lightweight and heavyweight crews to achieve similar performance.

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    Area of Science:

    • Fluid dynamics and biomechanics applied to rowing.
    • Application of dimensional analysis to sports equipment.

    Background:

    • Understanding the factors influencing racing shell speed is crucial for competitive rowing.
    • Previous models may not fully capture the relationship between crew size and shell velocity.

    Purpose of the Study:

    • To calculate the speed of geometrically similar racing shells using the theory of models.
    • To establish a theoretical relationship between the number of oarsmen and shell speed.
    • To explore implications for optimizing shell design for different crew types.

    Main Methods:

    • Utilizing the theory of models for theoretical calculations.
    • Comparing theoretical predictions with observational data.
    • Developing mathematical implications for shell proportions.

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    Main Results:

    • A theoretical prediction shows shell speed is proportional to the number of oarsmen to the 1/9 power.
    • This theoretical prediction shows excellent agreement with empirical observations.
    • The study provides insights into achieving equal speeds for lightweight and heavyweight eight-oared shells.

    Conclusions:

    • The theory of models provides an accurate framework for predicting racing shell speed.
    • The 1/9 power relationship offers a quantifiable basis for crew size optimization.
    • Design strategies can be informed to equalize speeds between different weight classes of rowing shells.