Weight of Submerged Portion of Floating Body Calculator

✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖Submerged Volume is defined as the volume of that portion of body which is submerged in the liquid.ⓘ Submerged Volume [V_S]			+10% -10%

✖Weight of Fluid Body is defined as the weight of fluid taken into consideration.The upward buoyant force must be equal to the weight of the imaginary fluid body.ⓘ Weight of Submerged Portion of Floating Body [W]

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Formula

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Weight of Submerged Portion of Floating Body

Formula

`"W" = "ρ"_{"Fluid"}*"[g]"*"V"_{"S"}`

Example

`"30.51339N"="1.225kg/m³"*"[g]"*"2.54m³"`

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Weight of Submerged Portion of Floating Body Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight of Fluid Body = Density of Fluid*[g]*Submerged Volume
W = ρ_Fluid*[g]*V_S
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Weight of Fluid Body - (Measured in Newton) - Weight of Fluid Body is defined as the weight of fluid taken into consideration.The upward buoyant force must be equal to the weight of the imaginary fluid body.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Submerged Volume - (Measured in Cubic Meter) - Submerged Volume is defined as the volume of that portion of body which is submerged in the liquid.

STEP 1: Convert Input(s) to Base Unit

Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Submerged Volume: 2.54 Cubic Meter --> 2.54 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = ρ_Fluid*[g]*V_S --> 1.225*[g]*2.54

Evaluating ... ...

W = 30.513391475

STEP 3: Convert Result to Output's Unit

30.513391475 Newton --> No Conversion Required

FINAL ANSWER

30.513391475 ≈ 30.51339 Newton <-- Weight of Fluid Body

(Calculation completed in 00.004 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi

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< 11 Buoyancy and Floatation Calculators

Bottom Force on Plate

Go Bottom Force = Density of Fluid*[g]*(Distance of Top Edge from Free Surface+Vertical Distance of Point from Free Surface)*Area of Surface

Buoyant Force on Flat Plate of Uniform Thickness

Go Buoyant Force = Density of Fluid*[g]*Vertical Distance of Point from Free Surface*Area of Surface

Top Force on Plate

Go Top Force = Density of Fluid*[g]*Distance of Top Edge from Free Surface*Area of Surface

Submerged Volume given Weight of Fluid Body

Go Submerged Volume = Weight of Fluid Body/(Density of Fluid*[g])

Weight of Submerged Portion of Floating Body

Go Weight of Fluid Body = Density of Fluid*[g]*Submerged Volume

Volume of Body given Buoyant Force

Go Volume of Body = Buoyant Force/(Density of Fluid*[g])

Buoyant Force given Volume of Body

Go Buoyant Force = Density of Fluid*[g]*Volume of Body

Volume of Plate

Go Volume of Body = Height of Plate*Area of Surface

Bottom Force given Buoyant Force and Top Force

Go Bottom Force = Buoyant Force+Top Force

Top Force given Buoyant Force and Bottom Force

Go Top Force = Bottom Force-Buoyant Force

Buoyant Force given Bottom and Top Force

Go Buoyant Force = Bottom Force-Top Force

Weight of Submerged Portion of Floating Body Formula

Weight of Fluid Body = Density of Fluid*[g]*Submerged Volume
W = ρ_Fluid*[g]*V_S

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What is a Buoyant Force?

The buoyant force is the upward force exerted on an object wholly or partly immersed in a fluid. This upward force is also called Upthrust. Due to the buoyant force, a body submerged partially or fully in a fluid appears to lose its weight, i.e. appears to be lighter. The following factors affect buoyant force: the density of the fluid, the volume of the fluid displaced, the local acceleration due to gravity. An object whose density is greater than that of the fluid in which it is submerged tends to sink. If the object is either less dense than the liquid or is shaped appropriately (as in a boat), the force can keep the object afloat. In terms of relative density, if the relative density is less than one, it floats in water and substances with a relative density greater than one sink in water.

How to Calculate Weight of Submerged Portion of Floating Body?

Weight of Submerged Portion of Floating Body calculator uses Weight of Fluid Body = Density of Fluid*[g]*Submerged Volume to calculate the Weight of Fluid Body, The Weight of Submerged Portion of Floating Body formula is defined as the product of density of fluid, gravitational acceleration and submerged volume. The upward buoyant force must be equal to the weight of the imaginary fluid body whose volume is equal to the volume of the solid body. The buoyant force acting on a body of uniform density immersed in a fluid is equal to the weight of the fluid displaced by the body, and it acts upward through the centroid of the displaced volume. For floating bodies, the weight of the entire body must be equal to the buoyant force, which is the weight of the fluid whose volume is equal to the volume of the submerged portion of the floating body. Weight of Fluid Body is denoted by W symbol.

How to calculate Weight of Submerged Portion of Floating Body using this online calculator? To use this online calculator for Weight of Submerged Portion of Floating Body, enter Density of Fluid (ρ_Fluid) & Submerged Volume (V_S) and hit the calculate button. Here is how the Weight of Submerged Portion of Floating Body calculation can be explained with given input values -> 30.51339 = 1.225*[g]*2.54.

FAQ

What is Weight of Submerged Portion of Floating Body?

The Weight of Submerged Portion of Floating Body formula is defined as the product of density of fluid, gravitational acceleration and submerged volume. The upward buoyant force must be equal to the weight of the imaginary fluid body whose volume is equal to the volume of the solid body. The buoyant force acting on a body of uniform density immersed in a fluid is equal to the weight of the fluid displaced by the body, and it acts upward through the centroid of the displaced volume. For floating bodies, the weight of the entire body must be equal to the buoyant force, which is the weight of the fluid whose volume is equal to the volume of the submerged portion of the floating body and is represented as W = ρ_Fluid*[g]*V_S or Weight of Fluid Body = Density of Fluid*[g]*Submerged Volume. Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & Submerged Volume is defined as the volume of that portion of body which is submerged in the liquid.

How to calculate Weight of Submerged Portion of Floating Body?

The Weight of Submerged Portion of Floating Body formula is defined as the product of density of fluid, gravitational acceleration and submerged volume. The upward buoyant force must be equal to the weight of the imaginary fluid body whose volume is equal to the volume of the solid body. The buoyant force acting on a body of uniform density immersed in a fluid is equal to the weight of the fluid displaced by the body, and it acts upward through the centroid of the displaced volume. For floating bodies, the weight of the entire body must be equal to the buoyant force, which is the weight of the fluid whose volume is equal to the volume of the submerged portion of the floating body is calculated using Weight of Fluid Body = Density of Fluid*[g]*Submerged Volume. To calculate Weight of Submerged Portion of Floating Body, you need Density of Fluid (ρ_Fluid) & Submerged Volume (V_S). With our tool, you need to enter the respective value for Density of Fluid & Submerged Volume and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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