Exploring the Magnus Force Equation

In summary, the Magnus Force equation, also known as the Magnus effect, is a mathematical formula used to describe the force exerted on a spinning object moving through a fluid. It has various applications in science, including aerodynamics, fluid dynamics, and sports science. The magnitude of the force is affected by factors such as speed, spin rate, fluid properties, and object characteristics. It can be applied to all types of fluids, but the properties of the fluid will affect the magnitude of the force. The equation is non-linear, meaning that the relationship between variables is not directly proportional.
  • #1
Chemical Bros
2
0
Hey everyone,

I was researching the magnus force and came upon the equation being:

Fm= S(w x v)

where S is the air resistance coefficient and (w x v) is the cross product of the angular velocity and the velocity of the object.

Well my question is that if the drag coefficient is:

Cd= (2Fd)/[(p)(v^2)(A)]

then couldn't you just sub in Cd for S? I'm assuming they are the same thing...Thanks
 
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  • #2
Can't be the same, since for one thing they don't have the same units.
 

1. What is the Magnus Force equation?

The Magnus Force equation, also known as the Magnus effect, is a mathematical formula that describes the force exerted on a spinning object moving through a fluid. It explains how the rotation of an object affects the fluid flow and results in a force perpendicular to the direction of motion.

2. How is the Magnus Force equation used in science?

The Magnus Force equation is used in various fields of science, such as aerodynamics, fluid dynamics, and sports science. It helps in understanding the behavior of spinning objects, such as balls, projectiles, and aircraft, in a fluid medium. It also has applications in wind turbines, helicopter blades, and other rotating systems.

3. What factors affect the magnitude of the Magnus Force?

The magnitude of the Magnus Force is affected by several factors, including the speed and spin rate of the object, the density and viscosity of the fluid, and the shape and size of the object. The angle of attack and the roughness of the surface can also influence the magnitude of the force.

4. Can the Magnus Force equation be applied to all types of fluids?

Yes, the Magnus Force equation can be applied to any fluid, including air, water, and even liquids with different viscosities. However, the properties of the fluid will affect the magnitude of the force, as mentioned in the previous answer.

5. Is the Magnus Force equation a linear or non-linear equation?

The Magnus Force equation is a non-linear equation, which means that the relationship between the variables is not directly proportional. The magnitude of the force is not constant and can vary based on the different factors mentioned in the second question.

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