Math Problem Statement
Kerosene flows in a pipe to which is connected a differential manometer as shown in the figure. Water is used as the indicating fluid and the water level below the centreline of the pipe is 570 mm at position 1 and 350 mm at position 2. Determine the pressure difference between position 1 and 2. Assume the relative density of kerosene is 0.78.
Solution
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Math Problem Analysis
Mathematical Concepts
Fluid Mechanics
Hydrostatics
Pressure Difference
Formulas
Pressure difference formula: ΔP = ρ_water * g * (h1 - h2) - ρ_kerosene * g * (h1 - h2)
ρ = RD * ρ_water (to calculate kerosene density)
Theorems
Hydrostatic Pressure Law
Relative Density Formula
Suitable Grade Level
Grades 11-12, College Level
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