Calculate the maximum number of turns of a mainspring when the barrel has an interior diameter of 7.60mm, the barrel arbour, core has a diameter of 2.20mm and the mainspring thickness (strength) is 0.09mm.
Radius of interior diameter 3.8 (R)
Radius of arbour 1.1 (r)
Thickness of spring 0.09 (e)
(Square root of 2(R²+r²)) – R – r
e
(Square root of 2 x (14.44 x 1.21)) – 3.8 – 1.1
0.09
(Square root of 2 x 15.65) – 3.8 – 1.1
0.09
(Square root of 31.3) – 3.8 – 1.1
0.09
5.5946 – 3.8 – 1.1
0.09
0.6946
0.09
=
7.718
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