Small challenge
06-11-2017, 10:59 AM
Post: #16
 Csaba Tizedes Senior Member Posts: 500 Joined: May 2014
RE: Small challenge
(06-09-2017 01:14 PM)Vtile Wrote:  I'll throw in another small and easy challenge ( especially since I give a picture. ). You are making cones out of cardboard, what are the measures of the cut out piece when it is then bend to cone and the dimensions for the cone are as follows.

angle Alpha: 30 deg.
R: 30
Hx: 5

From these equations ($$\beta$$ in radian):
$$R_2 · \beta=2 · r · \pi$$, and

$$(R_2+s) · \beta=2 · R · \pi$$

we get:
$$R_2=\frac{\frac{h_x}{cos \alpha}}{\frac{R}{R-h_x}-1}$$, and

$$\beta=\frac{2 · (R-h_x) · \pi}{R_2}$$