Calculating Projectile Trajectories: Aerodynamics of a 2.5cm Ball

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SUMMARY

This discussion focuses on calculating projectile trajectories for a 2.5 cm diameter ball, emphasizing the impact of air resistance. The user has developed software based on the drag force equation F = -k * A * v^2, where k represents the drag coefficient and A is the frontal area. The user seeks to determine the appropriate value for the drag coefficient k for a smooth sphere weighing approximately 5 grams and launched at speeds between 5 to 7 m/s. Relevant resources for further understanding of drag coefficients are provided.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces and motion.
  • Familiarity with the drag force equation F = -k * A * v^2.
  • Knowledge of SI units for measuring mass and velocity.
  • Experience with computational modeling or simulation software.
NEXT STEPS
  • Research the drag coefficient k for spheres in fluid dynamics.
  • Explore computational fluid dynamics (CFD) tools for simulating projectile motion.
  • Learn about the effects of air resistance on different projectile shapes.
  • Investigate the use of Python libraries for physics simulations, such as Pygame or VPython.
USEFUL FOR

Physics students, aerospace engineers, software developers working on simulation tools, and anyone interested in the dynamics of projectile motion and aerodynamics.

sigma
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Hi! I've written a simple software to calculate projectile trajectories when air resistane can't be neglected. I'm planning to test the software with a light ball and a cannon.

My model simply say
F = -k * A * v^2
The force of drag F is proportional to the velocity v squared. k and A are constant of drag and frontal area respectively.

Can anyone tell me what the constant k would be for a sphere?

The ball I'm planning to use is about 2.5 cm in diameter, weighs about 5 g (guess) and is pretty smooth. It will be launched at speeds of about 5 - 7 m/s.

If the information is insufficient, please ask.

Edit: Please use SI units, thanks!

//Sigma
 
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