Monday, January 23, 2012

How to calculate percentage error when the denominator is zero in the % error formula?

I got this problem when calibrating the water intake weighing Scale of a concrete batching plant.

After the loading of weights in multiples of 20 upto 500kg and while unloading to zero weights the meter reading at the end still showed -0.5kg.It was set in a higher altitude and the conditions were very windy.How to calculate percentage error when the denominator is zero in the % error formula?
The numerator is the error and not the denominator. Further, when weight placed is 0 and error is .5, the error calculation will show infinite error. The trick is to ensure that error is calculated as percentage of total of scale and not of reading. If error is 0.2,0.5, -0.5Kg at 20, 40 and 60 kg, the %age error is 0.2*100/500, 0.5*100/500 and -0.5*100/500. the denominator will ne the full sacle value.

See in web how the error is specified for weigh scales. Often it is as percentage of FS. In some cases, it could be +/- 1kg below 200kG and 0.5% of scle value above 200Kg. In this case, even for 0 weight placed, one can have error of +/- 1Kg. at 300 Kg, error allowed is +/- 1.5KgHow to calculate percentage error when the denominator is zero in the % error formula?
You have a difference which is NOT zero.The error is small and shows a few things might need oiling but might be calculated as 100 (0.5/500) % =50/500 =0.1% which is an excellent degree of accuracy.
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