Upthrust Force Calculator

✖Volume Immersed can be referred as the space occupied by the body when immersed or submerged in the fluid.ⓘ Volume Immersed [V_i]			+10% -10%
✖Mass Density of Fluid can be referred as the amount of fluid substance, that is occupying a specific three dimensional space.ⓘ Mass Density of Fluid [ρ]			+10% -10%

✖Upthrust Force is an upward force exerted by fluid that opposes the weight of a partially or fully immersed object.ⓘ Upthrust Force [F_t]

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Formula

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Upthrust Force

Formula

F t = V i \cdot [g] \cdot ρ

Example

11532.62 N = 1.2 m³ \cdot [g] \cdot 980 kg/m³

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Upthrust Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Upthrust Force = Volume Immersed*[g]*Mass Density of Fluid
F_t = V_i*[g]*ρ
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Upthrust Force - (Measured in Newton) - Upthrust Force is an upward force exerted by fluid that opposes the weight of a partially or fully immersed object.
Volume Immersed - (Measured in Cubic Meter) - Volume Immersed can be referred as the space occupied by the body when immersed or submerged in the fluid.
Mass Density of Fluid - (Measured in Kilogram per Cubic Meter) - Mass Density of Fluid can be referred as the amount of fluid substance, that is occupying a specific three dimensional space.

STEP 1: Convert Input(s) to Base Unit

Volume Immersed: 1.2 Cubic Meter --> 1.2 Cubic Meter No Conversion Required
Mass Density of Fluid: 980 Kilogram per Cubic Meter --> 980 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_t = V_i*[g]*ρ --> 1.2*[g]*980

Evaluating ... ...

F_t = 11532.6204

STEP 3: Convert Result to Output's Unit

11532.6204 Newton --> No Conversion Required

FINAL ANSWER

11532.6204 ≈ 11532.62 Newton <-- Upthrust Force

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Jamshedpur

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< Dynamic Force Equations Calculators

Stokes Force

Go Stokes' Drag = 6*pi*Radius of The Spherical Object*Dynamic Viscosity Fluid*Velocity of Fluid

Upthrust Force

Go Upthrust Force = Volume Immersed*[g]*Mass Density of Fluid

Inertial Force per Unit Area

Go Inertial Force Per Unit Area = Speed of The Fluid^2*Mass Density of Fluid

Body Force

Go Body Force = Force Acting on Mass/Volume Occupied by Mass

Upthrust Force Formula

Upthrust Force = Volume Immersed*[g]*Mass Density of Fluid
F_t = V_i*[g]*ρ

How Density plays a role on Upthrust Force?

Density of the fluid directly affects the upthrust force experienced by a submerged object. Imagine two objects with the same volume, one submerged in water (denser) and the other in oil (less dense). According to Archimedes' principle, upthrust equals the weight of displaced fluid. Since water is denser, it weighs more per unit volume compared to oil. As a result, the object in water experiences a greater upthrust force than the one in oil, even though their submerged volumes are identical. In simpler terms, denser fluids provide a stronger "buoyant push" on submerged objects.

How to Calculate Upthrust Force?

Upthrust Force calculator uses Upthrust Force = Volume Immersed*[g]*Mass Density of Fluid to calculate the Upthrust Force, The Upthrust force also referred as 'Buoyancy force' acting on a body fully or partially submerged in a fluid is governed by Archimedes' principle. This principle states that the upthrust force is equal to the weight of the fluid displaced by the body. The upthrust force always acts vertically upwards, directly opposite the weight of the displaced fluid. Upthrust Force is denoted by F_t symbol.

How to calculate Upthrust Force using this online calculator? To use this online calculator for Upthrust Force, enter Volume Immersed (V_i) & Mass Density of Fluid (ρ) and hit the calculate button. Here is how the Upthrust Force calculation can be explained with given input values -> 11532.62 = 1.2*[g]*980.

FAQ

What is Upthrust Force?

The Upthrust force also referred as 'Buoyancy force' acting on a body fully or partially submerged in a fluid is governed by Archimedes' principle. This principle states that the upthrust force is equal to the weight of the fluid displaced by the body. The upthrust force always acts vertically upwards, directly opposite the weight of the displaced fluid and is represented as F_t = V_i*[g]*ρ or Upthrust Force = Volume Immersed*[g]*Mass Density of Fluid. Volume Immersed can be referred as the space occupied by the body when immersed or submerged in the fluid & Mass Density of Fluid can be referred as the amount of fluid substance, that is occupying a specific three dimensional space.

How to calculate Upthrust Force?

The Upthrust force also referred as 'Buoyancy force' acting on a body fully or partially submerged in a fluid is governed by Archimedes' principle. This principle states that the upthrust force is equal to the weight of the fluid displaced by the body. The upthrust force always acts vertically upwards, directly opposite the weight of the displaced fluid is calculated using Upthrust Force = Volume Immersed*[g]*Mass Density of Fluid. To calculate Upthrust Force, you need Volume Immersed (V_i) & Mass Density of Fluid (ρ). With our tool, you need to enter the respective value for Volume Immersed & Mass Density of 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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