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Measuring Fluid Pressure

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Sample data: Alcohol Height (m)Pressure (Pa) 0.131000 0.262000 0.393000 0.524000 0.655000 0.786000

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Slope of Pressure vs height Slope = rise/run = Pressure/height Pa = N = kg m = kg m m m 2 m m 3 sec 2 m 3 sec 2 kg/m 3 = density = ρ m/sec 2 = acceleration

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Best fit equation = slope Alcohol = 7692.3 x Y= mx + b Pressure = 7692.3 h + b ( b can be disregarded. When pressure = 0 then height would = 0)

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Pressure vs height Pressure (Pa) Height (m) Glycerin Salt water Fresh water Alcohol

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Pressure vs density using the best fit lines LiquidDensity (ρ) Kg/m 3 Best fit equation Equation at 0.4 m Alcohol785.47705 h2830 Freshwater10009810 h3924 Saltwater102710075 h4033 Glycerin126113538 h5415

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Pressure is proportional to height P α h and P α ρ So therefore: P α ρ h × some constant C P = C ρ h

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C = P = Pa = N/m 2 * m 3 ρ h kg/m 3 * m kg * m = kg * m * m 3 m 2 * kg * m * sec 2 C = m/ sec 2

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Finding C (using data for seawater) P = C ρ h C = P = 1 P ρ h ρ h C = 1 * 10 075 1027 C = 9.81 m/sec 2 Slope Trend line formula

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