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

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SUMMARY

Air resistance is a crucial factor in understanding the motion of objects through the atmosphere, particularly for a baseball at sea level. The drag force can be modeled using the equation D = 0.5 * C * A * ρ * v², where C is the drag coefficient, A is the cross-sectional area, ρ is the air density, and v is the velocity. For a spherical object like a baseball, the typical drag coefficient (C) is approximately 0.5. The constant k in the equation dV/dt = kv varies based on the object's shape and texture, making it essential to refer to established tables for accurate values.

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  • Understanding of fluid dynamics principles
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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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It depends very much on the shape and texture of objects, if you use the formula D = \frac{1}{2}CA\rho v^2. 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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