Volume of fluid displaced Calculator

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Buoyancy

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✖Weight of displaced fluid is the weight of the fluid displaced by the body immersed in the fluid.ⓘ Weight of Displaced Fluid [W]			+10% -10%
✖Density of Displaced Fluid is the density of the fluid displaced by the body immersed in the fluid.ⓘ Density of Displaced Fluid [ρ_displaced]			+10% -10%

✖The Volume of Fluid Displaced by Body is equivalent to the volume of fluid occupied by a partially submerged body in a liquid.ⓘ Volume of fluid displaced [V]

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Formula

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Volume of fluid displaced

Formula

`"V" = ("W")/("ρ"_{"displaced"})`

Example

`"0.032598m³"=("32.5kg")/("997kg/m³")`

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Volume of fluid displaced Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Fluid Displaced by Body = (Weight of Displaced Fluid)/(Density of Displaced Fluid)
V = (W)/(ρ_displaced)
This formula uses 3 Variables

Variables Used

Volume of Fluid Displaced by Body - (Measured in Cubic Meter) - The Volume of Fluid Displaced by Body is equivalent to the volume of fluid occupied by a partially submerged body in a liquid.
Weight of Displaced Fluid - (Measured in Kilogram) - Weight of displaced fluid is the weight of the fluid displaced by the body immersed in the fluid.
Density of Displaced Fluid - (Measured in Kilogram per Cubic Meter) - Density of Displaced Fluid is the density of the fluid displaced by the body immersed in the fluid.

STEP 1: Convert Input(s) to Base Unit

Weight of Displaced Fluid: 32.5 Kilogram --> 32.5 Kilogram No Conversion Required
Density of Displaced Fluid: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (W)/(ρ_displaced) --> (32.5)/(997)

Evaluating ... ...

V = 0.0325977933801404

STEP 3: Convert Result to Output's Unit

0.0325977933801404 Cubic Meter --> No Conversion Required

FINAL ANSWER

0.0325977933801404 ≈ 0.032598 Cubic Meter <-- Volume of Fluid Displaced by Body

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< 11 Buoyancy Calculators

Meta-centric height in experimental method

Go Metacentric Height of Floating Body = ((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*tan(Angle of Heel)))

Angle of heel for metacentric height in experimental method

Go Angle of Heel = atan((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*Metacentric Height of Floating Body))

Movable weight for metacentric height in experimental method

Go Movable Weight on Floating Vessel = (Metacentric Height of Floating Body*Weight of Floating Vessel*tan(Angle of Heel))/(Distance Travelled by Weight on Vessel)

Time Period of Oscillation of Ship

Go Time Period of Oscillation of Floating Body = (2*pi)*(sqrt((Radius of Gyration of Floating Body^2)/(Metacentric Height of Floating Body*[g])))

Radius of gyration for metacentric height and time period of oscillation

Go Radius of Gyration of Floating Body = ((Time Period of Oscillation of Floating Body)*sqrt(Metacentric Height of Floating Body*[g]))/(2*pi)

Volume of body in fluid for metacentric height and BG

Go Volume of Body Submerged in Water = Moment of Inertia of Plain Floating Body/(Metacentric Height of Floating Body+Distance of CG from Center of Buoyancy)

Meta-centric height for time period of oscillation and radius of gyration

Go Metacentric Height of Floating Body = (4*(pi^2)*(Radius of Gyration of Floating Body^2))/((Time Period of Oscillation of Floating Body^2)*[g])

Archimedes Principle

Go Archimedes Principle = Density*Acceleration Due to Gravity*Velocity

Volume of fluid displaced

Go Volume of Fluid Displaced by Body = (Weight of Displaced Fluid)/(Density of Displaced Fluid)

Centre of Buoyancy

Go Centre of Buoyancy for Floating Body = (Depth of Immersed Object in Water)/2

Buoyant Force

Go Buoyant Force = Pressure*Area

Volume of fluid displaced Formula

Volume of Fluid Displaced by Body = (Weight of Displaced Fluid)/(Density of Displaced Fluid)
V = (W)/(ρ_displaced)

What is volume of fluid displaced?

The volume of displaced fluid is equivalent to the volume of an object fully immersed in a fluid or to that fraction of the volume below the surface for an object partially submerged in a liquid.

What is the relation for the volume of fluid displaced in Buoyancy?

When a body is immersed in a fluid, an upward force is exerted by the fluid on the body. This upward force is equal to the weight of the fluid displaced by the body.

How to Calculate Volume of fluid displaced?

Volume of fluid displaced calculator uses Volume of Fluid Displaced by Body = (Weight of Displaced Fluid)/(Density of Displaced Fluid) to calculate the Volume of Fluid Displaced by Body, The volume of fluid displaced is defined as the ratio of the weight of the fluid displaced to the weight density of fluid where the block or object is floating. Volume of Fluid Displaced by Body is denoted by V symbol.

How to calculate Volume of fluid displaced using this online calculator? To use this online calculator for Volume of fluid displaced, enter Weight of Displaced Fluid (W) & Density of Displaced Fluid (ρ_displaced) and hit the calculate button. Here is how the Volume of fluid displaced calculation can be explained with given input values -> 0.032598 = (32.5)/(997).

FAQ

What is Volume of fluid displaced?

The volume of fluid displaced is defined as the ratio of the weight of the fluid displaced to the weight density of fluid where the block or object is floating and is represented as V = (W)/(ρ_displaced) or Volume of Fluid Displaced by Body = (Weight of Displaced Fluid)/(Density of Displaced Fluid). Weight of displaced fluid is the weight of the fluid displaced by the body immersed in the fluid & Density of Displaced Fluid is the density of the fluid displaced by the body immersed in the fluid.

How to calculate Volume of fluid displaced?

The volume of fluid displaced is defined as the ratio of the weight of the fluid displaced to the weight density of fluid where the block or object is floating is calculated using Volume of Fluid Displaced by Body = (Weight of Displaced Fluid)/(Density of Displaced Fluid). To calculate Volume of fluid displaced, you need Weight of Displaced Fluid (W) & Density of Displaced Fluid (ρ_displaced). With our tool, you need to enter the respective value for Weight of Displaced Fluid & Density of Displaced Fluid 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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