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The aerodynamics of jumping rope by Jeffrey M. Aristoff, and Howard A. Stone Proceedings A Volume ():rspa20110389 November 2, 2011 ©2011 by The Royal Society.

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Presentation on theme: "The aerodynamics of jumping rope by Jeffrey M. Aristoff, and Howard A. Stone Proceedings A Volume ():rspa20110389 November 2, 2011 ©2011 by The Royal Society."— Presentation transcript:

1 The aerodynamics of jumping rope by Jeffrey M. Aristoff, and Howard A. Stone Proceedings A Volume ():rspa20110389 November 2, 2011 ©2011 by The Royal Society

2 Notation used for a rope that is rotated at frequency ω about the x-axis and clamped at (0,0,0) and (H,0,0). Jeffrey M. Aristoff, and Howard A. Stone Proc. R. Soc. A doi:10.1098/rspa.2011.0389 ©2011 by The Royal Society

3 Stroboscopic image of a laboratory jump rope that is rotated clockwise and viewed from the side. Jeffrey M. Aristoff, and Howard A. Stone Proc. R. Soc. A doi:10.1098/rspa.2011.0389 ©2011 by The Royal Society

4 Shape of a jump rope with aspect ratio L/H=4 and increasing drag parameters =0, 0.125, 0.25, 0.5 and 1. Jeffrey M. Aristoff, and Howard A. Stone Proc. R. Soc. A doi:10.1098/rspa.2011.0389 ©2011 by The Royal Society

5 Planar projections of the curves shown in figure 3. Jeffrey M. Aristoff, and Howard A. Stone Proc. R. Soc. A doi:10.1098/rspa.2011.0389 ©2011 by The Royal Society

6 Dimensionless tension in the rope versus for four values of L/H. Jeffrey M. Aristoff, and Howard A. Stone Proc. R. Soc. A doi:10.1098/rspa.2011.0389 ©2011 by The Royal Society

7 Universal shape of a jump rope achieved as its length greatly exceeds its separation distance (L/H ≫ 1) and the magnitude of the aerodynamic drag greatly exceeds that of the centrifugal force ( ≫ 1) leading to. Jeffrey M. Aristoff, and Howard A. Stone Proc. R. Soc. A doi:10.1098/rspa.2011.0389 ©2011 by The Royal Society

8 Drag reduction resulting from the airflow-induced deflection of a jump rope for L/H=2, 4, 6 and 8. Jeffrey M. Aristoff, and Howard A. Stone Proc. R. Soc. A doi:10.1098/rspa.2011.0389 ©2011 by The Royal Society


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