WOLFRAM SYSTEM MODELER
MagnusForceComponent calculating the magnus force |
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Diagram
Wolfram Language
In[1]:=
SystemModel["EducationExamples.Physics.FreeKick.Components.MagnusForce"]
Out[1]:=
Information
The Magnus force is dependent on the geometry and size of the object, the density of the air, the spin factor, the velocity of the object, and the so-called Reynolds number. In this implementation, the equation describing the Magnus force has been taken from the book Physics for Game Programmers, equation 7.56 on page 194, defined as:
- FM = (1/2) ρ v^2 A CL
where ρ is the air density, v is the velocity of the ball, A is the cross-sectional area of the ball, and CL is the lift coefficient. The lift coefficient is a tricky variable to describe and is normally measured from experiments. In Physics for Game Programmers, experimental data is used to create a function to describe CL. This results in the expression:
- CL = 0.385(r*ω/v)^0.25
where r is the radius of the ball, ω is the angular velocity, and v is the velocity of the ball.
Parameters (1)
| rho |
Value: 1.225 Type: Density (kg/m³) Description: Density of the fluid (1.225 kg/m^3 for air) |
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Connectors (1)
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frame_b |
Type: Frame_b Description: Coordinate system fixed to the component with one cut-force and cut-torque (non-filled rectangular icon) |
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Components (1)
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force |
Type: WorldForce Description: MultiBody force component applying the Magnus force |
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Used in Components (1)
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EducationExamples.Physics.FreeKick.Components Ball subject to magnus forces. |