In a yogurt-filling line, the containers are filled with 1
Chapter , Problem 7.26(choose chapter or problem)
In a yogurt-filling line, the containers are filled with 1 kg of yogurt. The mass of the yogurt is measured while the filling nozzle is open. The nozzle flow rate is 0.25 kg per second. Several factors affect the flow rate, including the density and the viscosity of the yogurt, which, combined, can introduce an uncertainty of about 1 % of the flow, based on statistical analysis of the data. The dispensing time of the yogurt is controlled mechanically through a cam system. The uncertainty in the time during which the nozzle is open was established to be 0.1 sec in a calibration process. (a) Calculate the filling time of each container. (b) Categorize each of the foregoing uncertainties as systematic or random. (c) Calculate the uncertainty in the mass of the filled yogurt containers. (d) If the plant managers decide to reduce the uncertainty in the mass of the yogurt, on what do you suggest they concentrate?
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