Interactive tool. Splits a required balance correction between two available angular positions, returning the two component masses, the total mass, and the mass penalty of the split. SI and US units, with a printable record.
This calculator splits a required balance correction between two available angular positions. Enter the required correction mass and angle and the two available angles; it returns the two component masses, the total mass, and the mass penalty of the split, in SI or US units, with an explanation in prose of what each result means and a printable record. Companion tool to Low Speed Balancing Procedure. Part of the balancing series.
The calculator's results have been compared with those of a separately written program in 6,000 randomized cases, and every displayed value agreed with it to the last digit. Further tests confirmed that the two component masses always combine, as vectors, into the required correction, and that the split never weighs less than the direct correction. The calculator also reproduces the worked example of a split between two balance holes in Jackson, “Single Plane Balancing” (1991), to within the source's stated precision.
Sample output
The calculator's output for its first example, Split between 15° and 75°: a required correction of 10 g at 40°, split with the equations of the Correction Splitting section of Low Speed Balancing Procedure.
Result
Value
Component mass at θ1, m1 (g)
6.623
Component mass at θ2, m2 (g)
4.88
Total mass, m1 + m2 (g)
11.5
Mass penalty vs direct correction (%)
15.03
The printed record of the same example. Click the image to enlarge it.
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