How do I calculate scale weight for testing a scale glider?

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SUMMARY

The calculation of scale weight for a glider model involves understanding the relationship between weight, volume, and length. For a 1:4 scale model of a glider with a 10m wingspan, the model's weight should be 1.5625 kg if the full-scale design weighs 100 kg. This is derived from the principle that weight scales with the cube of the length ratio (4^3 = 64). Additionally, to accurately replicate aerodynamics, the speed must be increased by a factor of 4, contrary to the initial assumption of reducing speed.

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  • Familiarity with aerodynamic concepts, particularly Reynolds number
  • Basic grasp of glide ratio calculations
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Moomba
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Hello all - I'm new to the forum - I hope some kind person can help with a question of calculating scale weight in a scale model of a glider.

I want to test the glide ratio of a glider design by making a 1:4 scale model and thowing it from a certain height at a certain speed and measuring how far the model glides.
Suppose the design has 10m wingspan and the model has 2.5m ws.
The question is: if the full scale design weighs, say, 100kg (including pilot) what should the 1:4 scale model weigh?

(And, I'm supposing that the scale speed should just be reduced to 1/4 ?)
 
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Typically, weight, being proportional to volume scales as the cube of length. If typical lengths on the actually glider are 4 times the model lengths, then its weight will be 4^3= 64 times the model's weight. If the full scale is 100 kg,the model should weigh 100/64= 1.5625 kg.

Yes, speed= length/time and, since time is not scaled, will scale the same way as length.
 
Moomba said:
(And, I'm supposing that the scale speed should just be reduced to 1/4 ?)

Actually to properly reproduce the aerodynamics the speed would have to be increased by a factor of 4. Are you familiar with the Reynolds number?
 

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