Concept explainers
The height of mercury column in water tube.
The height of oil column.
Explanation of Solution
Calculation:
Write the expression for density of the oil.
Here, the density of oil is
Write the expression for pressure at bottom in mercury column.
Here, the pressure at bottom in mercury column is
Write the expression for pressure at the bottom of the water column.
Here, the pressure at bottom in water column is
Write the expression for pressure at bottom in oil column.
Here, the pressure at bottom in oil column is
Substitute
The pressure in the liquid varies according to the depth of fluid. But, the hydrostatic pressure of the fluid is same at same depth.
The pressure at bottom in mercury column is equal to pressure at bottom in water column.
The pressure at bottom in mercury column is equal to pressure at bottom in oil column.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Further simplify.
Thus, the height
Substitute
Further simplify.
Thus, the height
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Chapter 2 Solutions
Fluid Mechanics, 8 Ed
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