Fluid Pressure Calculation
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Questions and Answers

What are the conditions for the fluid at rest in the container?

Resultant horizontal forces should be zero and the resultant vertical forces should balance the weight of the element.

What is the relationship between the pressures P1 and P2 at two different points in the fluid?

The difference in pressure (P2 - P1) multiplied by the base area (A) equals the weight of the fluid in the cylindrical element (mg).

How is the weight of the fluid in the cylinder related to the mass density (ρ) and volume (V) of the fluid?

The weight (m) of the fluid is equal to the product of mass density (ρ) and volume (V), where V = hA.

Express the relationship between pressure difference (P2 - P1) and the gravitational constant (g) in terms of mass density (ρ) and height (h) of the fluid.

<p>The pressure difference (P2 - P1) is equal to ρgh.</p> Signup and view all the answers

What is the significance of the pressure difference (P2 - P1) in understanding fluid behavior?

<p>The pressure difference indicates the force imbalance that is necessary for maintaining equilibrium in the fluid.</p> Signup and view all the answers

What is the equation that relates the pressure difference (P2 - P1), gravitational constant (g), mass density (ρ), and height (h) of the fluid in the cylinder?

<p>P2 - P1 = ρgh</p> Signup and view all the answers

What are the conditions required for the resultant horizontal forces in a fluid at rest in a container?

<p>The resultant horizontal forces should be zero.</p> Signup and view all the answers

How is the weight of the fluid in the cylinder related to the pressure at the top (P1A) and the pressure at the bottom (P2A)?

<p>Weight of the fluid = (P2 - P1)A</p> Signup and view all the answers

What is the mass of the fluid in the cylinder expressed in terms of mass density (ρ), height (h), and base area (A) of the cylinder?

<p>m = ρhA</p> Signup and view all the answers

Explain the significance of the resultant vertical forces balancing the weight of the fluid element in understanding fluid behavior.

<p>Balancing vertical forces shows that the fluid is in equilibrium, helping us analyze pressure differences and fluid stability.</p> Signup and view all the answers

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