How Do You Calculate Air Resistance for Projectiles in Excel?

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SUMMARY

The calculation of air resistance for projectiles in Excel can be accomplished using the standard equation: F_D = C_D (1/2)ρV²S (-V̂). In this equation, C_D represents the coefficient of drag, ρ is the density of air, is the square of the velocity, S is the cross-sectional area normal to the flow, and -V̂ is the unit vector opposite the velocity vector. This formula allows for the modeling of projectile motion while accounting for air resistance, providing a more accurate representation of real-world conditions.

PREREQUISITES
  • Understanding of basic physics concepts related to projectile motion.
  • Familiarity with Excel functions and formulas.
  • Knowledge of fluid dynamics, specifically drag coefficients.
  • Basic understanding of vector mathematics.
NEXT STEPS
  • Research how to implement the air resistance formula in Excel using built-in functions.
  • Learn about different values for the coefficient of drag (C_D) for various projectile shapes.
  • Explore how to calculate the density of air (ρ) under different environmental conditions.
  • Investigate the effects of varying cross-sectional area (S) on projectile motion.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in modeling projectile motion with air resistance using Excel.

Peter G.
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My teacher wants me to use an excel spreadsheet to show the difference in the movement of projectiles using air resistance.

Can anyone help me with the equation for air resistance?

Thanks,
Peter G.
 
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The standard equation for air resistance is:
[tex]\mathbf{F_D} = C_D \frac{1}{2}\rho V^2 S (-\hat{\mathbf{V}})[/tex],
where:
[itex]C_D[/itex] is the coefficient of drag,
[itex]\rho[/itex] is density of air,
[itex]V^2[/itex] is the square of velocity,
S is the cross-sectional area normal to the flow, and
[itex]-\hat{\mathbf{V}}[/itex] is the unit vector opposite the velocity vector.
 

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