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Will a precise 200:1 scale model of a feather float gracefully to the ground in a similar manner to a normal feather?

I have been taught that acceleration due to gravity is affected by surface area and not mass. I still find it hard to believe that a situation like in my question would be possible?

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Tags: float, gravity, acceleration, falling.

 

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topazlink says:

 

please correct me if i am wrong!

weight is the force of gravity acting upon a mass, so for an object to have weight, there must be gravity. acceleration due to gravity is about 9.81m/s²

let us assume the measurements of the original feather are:

  • 10cm (L), 2cm (W), 0.005cm (D), and has a mass of 2 grams.
  • this would mean: 0.1cm³ volume and a density of 20g/cm³

then the scaled up feather would be (assuming the ratio is for cm, so every 1cm of the original is 200cm on the scaled up model):

  • 2000cm (L), 400cm (W), 1cm (D) and 800,000cm³ volume
  • the density would be the same, so the mass would be 16,000kg

so i think this means it won't behave in the same way, much like a massive paper airplane doesn't work the same as a normal sized one.

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posted on 2011-01-15 14:48:10 | Report abuse


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PeteFowler365 says:

Your 200:1 scale model would have 200^3= 8 million times the weight of a real feather but only 200^2= 40 000 times the surface area to slow it down.  This is why a slater can fall from the top of the Burj al Arab and walk away but you, me and an elephant can't, and why parachutes work.

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posted on 2011-01-16 01:48:54 | Report abuse


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mjwalshe says:

Yes but the force acting on the model of the feather of the model would be much smaller as the mass would be so much less.

And at such a small-scale the effects of wind resistence and so on would be greater.

 

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posted on 2011-01-19 10:29:27 | Report abuse


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kimholburn says:

As Jon says scale affects aerodynamics.  There are tiny insects called thrips that are so small their wings are like tiny feathers (http://www.dpi.qld.gov.au/images/Biosecurity_GeneralPlantHealthPestsDiseaseAndWeeds/Sunflower-Thrips-500.jpg).  Normal insect wings wouldn't work at that scale. 

As for how the scale model would fall - difficult, depends for a start on what the model was made of.  For instance if it was made of lead or uranium it might fall faster.  If it was made of feather material it would fall much slower, barely at all.

And for the desciption of your question: force due to gravity acts only on the mass of the object.  Force due to the surround air acts only on the surface and shape.

 

 

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Tags: float, aerodynamics, gravity, acceleration, scale, falling.

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posted on 2011-01-23 00:00:35 | Report abuse

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Jon-Richfield says:

You said: >As for how the scale model would fall - difficult, depends for a start on what the model was made of.<

That is quite correct, but I would recommend that anyone interested go further and consider the feather's shape and probable function as well.  Make a habit of examining any discarded feather you find, trying to guess what part of the bird it came from, and seeing how it behaves when dropped. There are drastic differences in the behaviour of say flight feathers, tail feathers, down feathers and contour feathers. In fact, feather morphology is a startlingly complex and intriguing field of study.

Of course, considering feather behaviour in the absence of the bird is in some ways as artificial as considering bird behaviour in the absence of feathers. A roast chicken for example, whatever its other attractions, is in many ways a misleading object of study of ornithology. So is an egg.

Then again, I cannot vouch for the accuracy or verity of the story, but I read (in New Scientist? Not sure; it was years ago) of, I think it was Nancy Mitford's family, who bought a live goose for Xmas during the food rationing days of WWII. Apparently they were too squeamish to kill it in the traditional manner by beheading, so they (ugh!) strangled the poor creature, then plucked it (a seriously challenging job with geese, trust me!) By then it was pretty late, so they put the carcase in the fridge for more detailed attention the next morning, where they were horrified to find it cold, but conscious and functional when they opened the fridge...

Apparently they could not face the obvious  alternative, and seeing that it was after all winter, and a cold one at that, knitted it a sort of cardigan to see it through till the feathers grew back.  It remained a member of the family for years till it died of old age. (I doubt that they ate it even then!)

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Tags: float, aerodynamics, gravity, acceleration, scale, falling.

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posted on 2011-01-23 07:24:55 | Report abuse


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Patrick says:

The larger feather would not fall as fast as the smaller feather because though mass does not affect how fast things fall, the larger surface area would slow down the larger feather more than the smaller one.

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posted on 2011-01-31 04:16:17 | Report abuse


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