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Mathematics, 19.03.2021 04:50 BlehBlehBlehBleh

In measuring the power of a three-phase electrical motor running a pump, the following data were obtained (based on one-phase current measurement) V(volts) 460 459 458 460 461 462 460 459 I (amps) 30.2 31.3 30.4 32.0 31.7 30.7 30.8 31.2 PF 0.78 0.80 0.79 0.82 0.81 0.77 0.78 0.80 Where PF is the power factor. The power is determined by: 1- Calculate the mean, the standard deviation, and the random uncertainty of the mean of each parameter, at a 95% confidence level. 2- Calculate the mean value of the power and the random uncertainty of the mean of the power at a 95% confidence level. 3- If all the measured parameters have an accuracy of 1% of the reading of the measuring device, calculate the systematic uncertainty in the power measurement at a 95% confidence level. 4- Calculate the total uncertainty in the power measurement at a 95% confidence level.

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