[Solved] Derive Equation for Force due to Air Resistance (Drag) ¬ CHALLENGE  

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Myself and another PlanckTime contributor @saeed were challenged by our teacher to come up with an equation for the Force on an object due to to air resistance (or drag). We challenge you guys to do the same- it's pretty cool when you get a plausible answer.

Assumptions you may make:

  • Object falling with a constant velocity "v"
  • Object much more massive than mass of air particles it collides with (call its mass "m")
  • We recommend starting with a cubic object, we may challenge more difficult shapes in the future 
  • Assume constant, uniform density of air

 

I ended up taking a different route to the teacher, but our answer came to be even more realistic!

Good Luck Guys!

My solution will be up in a day or two.

 

PlanckTime - Amin

 
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*cubic object. The particles can be modelled as point masses 😉

 

If you want a REAL challenge, try doing the same for a body in freefall, as that has many more potential pitfalls, but is also more applicable to the real world.

 

Also, answers to the accelerating a couple of days after the the answers to the constant velocity one is posted.

"Either this wallpaper goes, or I go"- Oscar Wilde's last words

 
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Hi Lucas,

Here is my solution and how I worked through it. Make sure you sign your name on your work from now on- we don't want people stealing yours or our stuff!

PlanckTime - Amin

 
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Posted by Saeed:
If you want a REAL challenge, try doing the same for a body in freefall, as that has many more potential pitfalls, but is also more applicable to the real world.

Also, answers to the accelerating a couple of days after the the answers to the constant velocity one is posted.

Saeed the accelerating one will be a separate challenge thread 🙂 !

PlanckTime - Amin

 
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Gotta tease it 😛

And you should have a site announcement. We need to sign our work, thanks for the realisation.

"Either this wallpaper goes, or I go"- Oscar Wilde's last words

 
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