Projectile motion with air friction

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Discussion Overview

The discussion centers on the analysis of projectile motion considering the effects of air resistance. Participants are exploring the equations used to model this scenario and the validity of the results obtained from these equations.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant shares their attempt to calculate projectile motion with air resistance using specific equations and initial conditions.
  • The equations provided involve parameters such as velocity, angle, mass, diameter, and temperature, but the participant reports obtaining invalid results.
  • Another participant questions the nature of the invalid results, seeking clarification on what is meant by "invalid."
  • There is a mention of a link to a resource that details the necessary equations, although its validity is questioned by one participant.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the validity of the results, as one participant expresses confusion about the calculations while another seeks clarification on the reported issues.

Contextual Notes

The discussion does not clarify the assumptions made in the calculations or the specific conditions under which the equations are applied. There is also a lack of detail regarding the nature of the invalid results.

106267
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I'm trying to understand the motion of projectile motion under the influence of air resistance. A website such as this details the necessary equations available to approximate this model: http://claymore.engineer.gvsu.edu/~michels/index_files/Golf%20Ball%20Paper%20Final%20draft.pdf
However, i am unable to calculate vaild results.
I'm using the constant air friction equation
x(t)=(24τV cosθ)/(C_D Re) e^(-((C_D Re)/24τ)t)+(24τV cosθ)/(C_D Re)
&
y(t)=〖(V sinθ+24τg/(C_D Re))( -24τ/(C_D Re) e^(-((C_D Re)/24τ)t) )+((V sinθ+24τ/(C_D Re))(24τ/(C_D Re)))-(24τ/(C_D Re))t

Reading on the linked website will provide in detail what these variables equal.

My results are
Velocity:v=2.85ms
Angle 60 degrees
mass: 0.004kg
Diameter: 0.016m
This is all done in the fluid of air
at around 20°C
 
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In what way are these not valid results?

[aside: the link is not valid]
 
Sorry what I'm meant to say is that my results are my initial values. When i sub these into the equation listed the results i obtain are invalid. Try the link again it should be vaild. If not just type into google search and click the most common url located
 
106267 said:
...my results are my initial values. When i sub these into the equation listed the results i obtain are invalid.
me said:
In what way are these not valid results?

However I now have the pdf linked to. Thanks.
 

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