A particular flow meter allows the volumetric flow rate Q to be calculated from a measured pressure drop Δp. Theory predicts Q ∝ sqrt(Δp), and a calibration provides the following data: Q…  (m^3/min†): 10, 20, 30, 40 Δp  (…Pa†):  1,000 , 4,271 , 8,900 , 16,023 What uncertainty in the measurement of Δp is required to yield an uncertainty of 0.25% in Q over the range of flow rates from 10 to 40 m3/min?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A particular flow meter allows the volumetric flow rate Q to be calculated from a measured pressure drop Δp. Theory predicts Q ∝ sqrt(Δp), and a calibration provides the following data:

Q…  (m^3/min†): 10, 20, 30, 40

Δp  (…Pa†):  1,000 , 4,271 , 8,900 , 16,023

What uncertainty in the measurement of Δp is required to yield an uncertainty of 0.25% in Q over the range of flow rates from 10 to 40 m3/min?

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