Weight of Body in Liquid Calculator

Formula Used:

\[ W_b = W_a - (D_{im} \times \gamma \times A) \]

Air Weight (W_a):

Immersed Depth (D_im):

Fluid Specific Weight (γ):

N/m³

Cross Section Area Level (A):

m²

Body Weight in Liquid (W_b):

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1. What is the Weight of Body in Liquid Formula?

The Weight of Body in Liquid formula calculates the apparent weight of an object when submerged in a fluid. It accounts for the buoyant force acting on the object due to the displacement of fluid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W_b = W_a - (D_{im} \times \gamma \times A) \]

Where:

\( W_b \) — Body Weight in Liquid (kg)
\( W_a \) — Air Weight (kg)
\( D_{im} \) — Immersed Depth (m)
\( \gamma \) — Fluid Specific Weight (N/m³)
\( A \) — Cross Section Area Level (m²)

Explanation: The formula subtracts the buoyant force from the object's weight in air to determine its apparent weight in the liquid.

3. Importance of Body Weight Calculation in Liquid

Details: Accurate calculation of body weight in liquid is crucial for various engineering applications, including buoyancy analysis, ship design, underwater structures, and fluid mechanics experiments.

4. Using the Calculator

Tips: Enter all values in the specified units. Air weight and immersed depth should be positive values. Fluid specific weight and cross section area must also be positive values.

5. Frequently Asked Questions (FAQ)

Q1: What is fluid specific weight?
A: Fluid specific weight is the weight per unit volume of a fluid, typically measured in N/m³ or lb/ft³.

Q2: How does immersed depth affect the result?
A: Greater immersed depth increases the buoyant force, resulting in a lower apparent weight of the object in the liquid.

Q3: What is cross section area level?
A: It is the surface area of the object that is perpendicular to the direction of immersion and in contact with the fluid.

Q4: Can this formula be used for partially submerged objects?
A: Yes, the formula applies to both fully and partially submerged objects, as long as the immersed depth is correctly measured.

Q5: What are the limitations of this calculation?
A: The calculation assumes uniform fluid density and doesn't account for factors like fluid turbulence, object shape complexities, or temperature effects on fluid properties.