What is a typical constant for air resistance in relation to velocity?

In summary, air resistance can be proportional to either velocity or velocity squared, represented by the equation dV/dt=kv. The constant k varies depending on the shape and texture of the object, with a typical value of 0.5 for a spherical object like a baseball. There are also tables available for reference when calculating this constant.
  • #1
BigStelly
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Hey I am just wondering about something, air Resistance is proportional to the velocity in some cases or velocity squared in others.

dV/dt=kv what is a typical constant for k, i know it varies so let's just say a baseball at sea level(im sure you all can guess why I am asking this... :smile: ) Also is there a way to calculate this "k"...
any help greatly appreciated thanks!
 
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  • #2
It depends very much on the shape and texture of objects, if you use the formula [tex]D = \frac{1}{2}CA\rho v^2[/tex]. For a spherical body like the baseball it should be around 0.5.
Have a look here also: http://www.ac.wwu.edu/~vawter/PhysicsNet/Topics/Dynamics/Forces/DragCoeficientValues.html for a table of constants.
 
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  • #3


The typical constant for air resistance, also known as drag coefficient, can vary depending on the object's shape, size, and surface properties. In general, it ranges from 0.1 to 1 for most objects moving through air. For a baseball at sea level, the drag coefficient would be around 0.3 to 0.4.

There are various methods to calculate the drag coefficient, such as wind tunnel experiments and computational fluid dynamics simulations. However, for a simple estimation, you can use the formula k = Fd/(1/2 * ρ * v^2 * A), where Fd is the drag force, ρ is the density of air, v is the velocity, and A is the cross-sectional area of the object. This will give you a rough estimate of the drag coefficient for a specific object at a given velocity.

I hope this helps and happy calculating!
 

FAQ: What is a typical constant for air resistance in relation to velocity?

What is air resistance constant?

The air resistance constant is a value that represents the amount of resistance an object experiences when moving through air. It is also known as the drag coefficient and is affected by factors such as the shape and speed of the object.

How is air resistance constant calculated?

The air resistance constant is typically calculated using experimental data and mathematical models. It involves measuring the force of air resistance on an object at different velocities and using this information to determine the drag coefficient.

Why is air resistance constant important?

Air resistance constant is important because it affects the motion and behavior of objects moving through air. It can impact the speed, trajectory, and stability of objects and is a crucial factor in fields such as aerodynamics and fluid mechanics.

How does air resistance constant differ for different objects?

The air resistance constant can vary greatly for different objects depending on their shape, size, and surface properties. For example, a streamlined object such as a bullet will have a lower drag coefficient compared to a bulky and irregularly shaped object like a feather.

Can air resistance constant be reduced?

Yes, air resistance constant can be reduced by making changes to the shape and surface of an object. This is why many vehicles, such as cars and airplanes, are designed to be aerodynamic in order to minimize the effects of air resistance and improve their efficiency and performance.

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