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Immersed Weight Calculator Formula

Immersed Weight Formula:

\[ W_{immersed} = m g - \rho_f V g \]

kg
kg/m³

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1. What is the Immersed Weight Formula?

The immersed weight formula calculates the apparent weight of an object when submerged in a fluid. It accounts for the buoyant force acting on the object, which reduces its apparent weight.

2. How Does the Calculator Work?

The calculator uses the immersed weight formula:

\[ W_{immersed} = m g - \rho_f V g \]

Where:

Explanation: The formula subtracts the buoyant force (\( \rho_f V g \)) from the object's actual weight (\( m g \)) to determine its apparent weight in the fluid.

3. Importance of Immersed Weight Calculation

Details: Calculating immersed weight is crucial for designing floating structures, understanding buoyancy, and solving problems in fluid mechanics and hydrostatics.

4. Using the Calculator

Tips: Enter mass in kilograms, fluid density in kg/m³, and volume in cubic meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between immersed weight and buoyant force?
A: Immersed weight is the apparent weight of the object in fluid, while buoyant force is the upward force exerted by the fluid on the object.

Q2: What happens when immersed weight is zero?
A: When immersed weight equals zero, the object is neutrally buoyant and will float at constant depth in the fluid.

Q3: How does fluid density affect immersed weight?
A: Higher fluid density results in greater buoyant force, making the immersed weight smaller for the same object.

Q4: Can this formula be used for partially submerged objects?
A: Yes, but you must use only the volume of the object that's actually submerged in the calculation.

Q5: What are typical applications of this calculation?
A: Ship design, submarine operations, hot air balloons, hydrometers, and any engineering involving floating or submerged objects.

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