Speaker Set Up...Math/Geometry Experts Please Help


Hey guys, I need your help. I am helping a friend of mine set up his speakers and can't figure something out.

His speakers need to be tilted back to time align the drivers. According to the graph supplied from the manufacturer, we need a rake (tilt) of a 1/2 inch. This is measured using a plumb bob hanging from the back of the speaker, (which is perfectly flat). You measure the distance from the string to the back bottom of the speaker. The problem we are having is that even if we let the plumb bob settle, as soon as we try to measure the distance, the string moves just from the air disturbance around the string. We are having trouble getting an exact reading.

My question is: Can you convert the 1/2 inch distance to a degree? I have a really nice digital level that we can put on top of the speaker, start with it perfectly level and zero out the level. My level only reads in degrees, so I need to know how many degrees correspond to 1/2 inch tilt.

I've actually done this a few times in the past and always used the plumb bob method, but with current technology, was hoping to get it perfect.

Maybe this can't be converted? I've tried looking it up online, but Geometry was always my weak subject.

Thanks guys!
128x128mofimadness

Showing 3 responses by almarg

Hi Mofi,

First, let me make sure I understand how the 1/2 inch tilt is being defined. I think what you are saying is that the speaker should end up tilted back such that if the level is rested against the top front edge of the speaker, and the level is placed perfectly horizontally, the top back edge of the speaker would be 1/2 inch below the point where that level passes above it.

If so, the required angle would be arcsin(0.5/the depth of the top of the speaker in inches). "Arcsin" = "the angle whose sine is," also known as "inverse sine."

If my interpretation of the requirement is correct, and you let me know the depth of the top of the speaker, in inches, I have a scientific calculator which can easily compute the answer. Or you can use the calculator that is built into Windows, under "Accessories." You would set the calculator to scientific mode under its "view" menu. You would then press the "inv" button to cause the inverse sine button to appear.

Best,
-- Al
Yes, I was envisioning that the level would be oriented front to back, not side to side.

I get 2.866 degrees, based on the inverse sine of (0.5/10).

Best,
-- Al
Thanks, Minkwelder. Based on your interpretation, which Mofi confirms, and based on the 38 inch height, 0.7539 degrees is correct. That would be the angle between the rear surface of the speaker and vertical, which I'm pretty certain is numerically equal to the angle between the top surface of the speaker and horizontal (assuming that the top and rear surfaces of the speaker form a 90 degree angle with each other).

Best,
-- Al