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Calculating Perpendicularity

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cclaerbo

Mechanical
Jul 8, 2009
1
I am using a laser tracker which will not automatically calculate perpendicularity as a cmm would. I can calculate an angle between two planes for instance, but do not know what equation I would need to use to calculate the error of the angle as an amount in thousands of an inch.

I need to know the math behind calculating perpendicularity between two surfaces.

Thanks
 
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Assuming you know the length of the face, it should be simple trigonometry.

KENAT,

Have you reminded yourself of faq731-376 recently, or taken a look at posting policies: What is Engineering anyway: faq1088-1484
 
I agree with Kanat as long as the perpendicularity is not shown in GD&T. In that case, it combines angle and flatness (could be straightness) of the surface and trig won't help.

Dave D.
 
Good point dingy, if the CMM has worked out it's angle from an averaged face that may affect results.

KENAT,

Have you reminded yourself of faq731-376 recently, or taken a look at posting policies: What is Engineering anyway: faq1088-1484
 
-take two points on each of two perpendicular faces. Using the coordinates of the two points you can calculate the slope of the two lines.
-By taking tangent-inverse of the slopes you will get the angle.
-Then you can calculate the difference between the two angles and see if they are perpendicular.
 
Take perfect spherical surface like a ping pong ball divide it exactly in two and fixture the edge of one of the spherical segments perfectly perpendicular to a slab surface. Now measure the perpendicularity of the inner spherical surface to the slab surface.

What is its value?
How would you measure that using a laser tracker?

Paul
 
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