Hopper Angles
Hopper Angles
(OP)
Can someone tell me how to calculate the angle between sides of a hopper if I know the angles and dimensions of the sides and the valley angle?
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RE: Hopper Angles
Theta = arccos[ -cos(A) * cos(B) ]
Explanation ;
Calculating the angle between any two planes can be done by finding the angle between the normals to the planes. Each normal line has its own direction cosines, (these are cosines of the angles between a line and X,Y and Z respectively), [i,j,k] and the equation is;
Theta = arccos[(i1*i2) + (j1*j2) + (k1*k2)]
Assuming the hopper is rectangular then most of the above cancels out as some of the i and j values are zero. If the hopper is, for example, hexagonal in plan view then all i,j and k values may be used.
Be careful with the signs of the angles, or you will be getting the supplementary angle to the one you're after.