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Math Help - Real Life: Need To Find Dead Center On Both Ends Of A Wooden Drum

  1. #1
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    Real Life: Need To Find Dead Center On Both Ends Of A Wooden Drum

    I have a vintage drum set I am restoring. All the drums have the heads and hardware removed. I need to find dead center on both ends of each drum.

    Here is an example. One drum is 14 inches in diameter. I am going to cut out two 16 inch diameter plywood disks that will be temporarily affixed to each end of the drum while I paint the drum. Finding dead center of the plywood disks is no problem. However, how do I line up dead center of the plywood disks with dead center of the open end of each drum?

    I have measuring instruments like a ruler, a carpenter's square, as well as other materials commonly found in a shop or home.

    Thank you in advance for your replies.
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  2. #2
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    Here's what I would do. Choose any point on the circumference of the circle (drum). Hold your ruler fixed there and "swing" it slightly on the other side, pivoting on your fixed point. The opposite point on the circumference will be at the shortest distance from the fixed point. Mark that point and run a string between the two points, marking a diameter. (Another way to do this is to use a tape measure to measure the length of the entire circumference, then measure half that distance from the first point. But I don't think that is quite as accurate.)

    Now choose a new point and do the same thing. For the most accuracy this new point should be well away from the previous two points. Half way between them, around the circuference would be good but being accurate with that is not necessary.

    The point where the two strings (diameters) intersect is the center of the circle.
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  3. #3
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    Quote Originally Posted by HowdeeDoodee View Post
    I have a vintage drum set I am restoring. All the drums have the heads and hardware removed. I need to find dead center on both ends of each drum.

    Here is an example. One drum is 14 inches in diameter. I am going to cut out two 16 inch diameter plywood disks that will be temporarily affixed to each end of the drum while I paint the drum. Finding dead center of the plywood disks is no problem. However, how do I line up dead center of the plywood disks with dead center of the open end of each drum?

    I have measuring instruments like a ruler, a carpenter's square, as well as other materials commonly found in a shop or home.

    Thank you in advance for your replies.
    That's what I would have done:

    1. Draw 2 diameters on the disc (nearly perpendicular)

    2. Draw on each diameter 2 points which are 1 inch from the circumference of the disk.

    3. Place the drum on the disk such that the rim of the drum is placed on the 4 points of the diameters.
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  4. #4
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    Thank you very much for the comments.
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