Thursday 13 October 2011

Does Size Matter?

I recently posted a problem about scale modelling. Scalextric models are constructed to a scale of 1:32, unfortunately the commonest scale for dioramas etc. is 1:35. Is this difference 'significant' when modelling real life items that might only be 1m high?

Capacity of oil barrel is 0.159 cubic metres.
Height = 0.9m
Implies Area of cross-section = 0.177 square metres
Area = pi x radius squared so,
radius = square root (.177 / 3.14) = 0.24 m
Hence Diameter of barrel = 0.47m (allowing for rounding errors)

26 mm : 0.9 m = 25 : 900 = 1 : 34.6

Diameter of model is 16mm

16 mm : 0.47 m = 16 : 470 = 1 : 30

Supposedly the barrels were made to a scale of 1:35


1 : 32 = (1 / 32) x 900 : 900mm = 28mm : 900mm
1 : 32 = (1 / 32) x 470 : 470mm = 15mm : 900mm

So barrels (at a scale of 1:32) should be 28mm tall and 15mm in diameter. In my model below the dimensions are 26mm tall and 16mm in diameter.

The modeller has to decide if this difference is acceptable. Look at the image and make up your own mind.


1 comment:

  1. I, personally, am really happy with the scale of the drums for modelling on the Scalextric. I think if the drums were to be exactly to scale they would be too tall and thin.

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Thank you for taking the time to comment on the Math Bully Blog. Mr Marlow