Question
Download Solution PDFA tank contains oil of specific gravity of 0.9, The depth of the point below free surface is (where, the pressure intensity is 9 kg(f)/cm2)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Pressure at a depth in a fluid is given by:
\( P = \rho g h \)
Where,
- \( P \) = pressure intensity (in N/m²)
- \( \rho \) = density of fluid
- \( g \) = acceleration due to gravity = 9.81 m/s²
- \( h \) = depth
Calculation:
Given specific gravity: \( SG = 0.9 \Rightarrow \rho = 0.9 \times 1000 = 900~kg/m^3 \)
Pressure: \( P = 9~kgf/cm^2 = 9 \times 10^4~kgf/m^2 \)
\( 1~kgf = 9.81~N \Rightarrow P = 9 \times 10^4 \times 9.81 = 8.829 \times 10^5~N/m^2 \)
\( h = \frac{P}{\rho g} = \frac{8.829 \times 10^5}{900 \times 9.81} = 100~m \)
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