Bottom Force on Plate 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%
✖Distance of Top Edge from Free Surface is defined as the distance of top edge from the free surface along the plane of the plate.ⓘ Distance of Top Edge from Free Surface [s]			+10% -10%
✖Vertical Distance of Point from Free Surface is defined as the distance between the point and the free surface.ⓘ Vertical Distance of Point from Free Surface [h]			+10% -10%
✖Area of Surface is defined as the total cross sectional area of the surface.ⓘ Area of Surface [A]			+10% -10%

✖Bottom Force is defined as the gauge pressures at the bottom surface of the plate. It acts upward on the bottom surface of the plate.ⓘ Bottom Force on Plate [F_Bottom]

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Bottom Force on Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bottom Force = Density of Fluid*[g]*(Distance of Top Edge from Free Surface+Vertical Distance of Point from Free Surface)*Area of Surface
F_Bottom = ρ_Fluid*[g]*(s+h)*A
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Bottom Force - (Measured in Newton) - Bottom Force is defined as the gauge pressures at the bottom surface of the plate. It acts upward on the bottom surface of the plate.
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.
Distance of Top Edge from Free Surface - (Measured in Meter) - Distance of Top Edge from Free Surface is defined as the distance of top edge from the free surface along the plane of the plate.
Vertical Distance of Point from Free Surface - (Measured in Meter) - Vertical Distance of Point from Free Surface is defined as the distance between the point and the free surface.
Area of Surface - (Measured in Square Meter) - Area of Surface is defined as the total cross sectional area of the surface.

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
Distance of Top Edge from Free Surface: 5.2 Meter --> 5.2 Meter No Conversion Required
Vertical Distance of Point from Free Surface: 4.5 Meter --> 4.5 Meter No Conversion Required
Area of Surface: 12.3 Square Meter --> 12.3 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_Bottom = ρ_Fluid*[g]*(s+h)*A --> 1.225*[g]*(5.2+4.5)*12.3

Evaluating ... ...

F_Bottom = 1433.2884790875

STEP 3: Convert Result to Output's Unit

1433.2884790875 Newton --> No Conversion Required

FINAL ANSWER

1433.2884790875 ≈ 1433.288 Newton <-- Bottom Force

(Calculation completed in 00.004 seconds)

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Created by Ayush gupta

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

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< Buoyancy and Floatation Calculators

Bottom Force on Plate

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

Top Force on Plate

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

Buoyant Force given Volume of Body

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

Buoyant Force given Bottom and Top Force

LaTeX Go Buoyant Force = Bottom Force-Top Force

Bottom Force on Plate Formula

LaTeX Go

Bottom Force = Density of Fluid*[g]*(Distance of Top Edge from Free Surface+Vertical Distance of Point from Free Surface)*Area of Surface
F_Bottom = ρ_Fluid*[g]*(s+h)*A

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 Bottom Force on Plate?

Bottom Force on Plate calculator uses Bottom Force = Density of Fluid*[g]*(Distance of Top Edge from Free Surface+Vertical Distance of Point from Free Surface)*Area of Surface to calculate the Bottom Force, The Bottom Force on Plate formula is defined as the function of the density of the fluid, gravitational acceleration, the distance of the top edge from the free surface, the Vertical Distance of the Point from the Free Surface, and the Area of the Surface. It is a common experience that an object feels lighter and weighs less in a liquid than it does in air. This can be demonstrated easily by weighing a heavy object in water with a waterproof spring scale. Also, objects made of wood or other light materials float on water. These and other observations suggest that a fluid exerts an upward force on a body immersed in it. This force that tends to lift the body is called the buoyant force. The buoyant force is caused by the increase of pressure with depth in a fluid. Bottom Force is denoted by F_Bottom symbol.

How to calculate Bottom Force on Plate using this online calculator? To use this online calculator for Bottom Force on Plate, enter Density of Fluid (ρ_Fluid), Distance of Top Edge from Free Surface (s), Vertical Distance of Point from Free Surface (h) & Area of Surface (A) and hit the calculate button. Here is how the Bottom Force on Plate calculation can be explained with given input values -> 1433.288 = 1.225*[g]*(5.2+4.5)*12.3.

FAQ

What is Bottom Force on Plate?

The Bottom Force on Plate formula is defined as the function of the density of the fluid, gravitational acceleration, the distance of the top edge from the free surface, the Vertical Distance of the Point from the Free Surface, and the Area of the Surface. It is a common experience that an object feels lighter and weighs less in a liquid than it does in air. This can be demonstrated easily by weighing a heavy object in water with a waterproof spring scale. Also, objects made of wood or other light materials float on water. These and other observations suggest that a fluid exerts an upward force on a body immersed in it. This force that tends to lift the body is called the buoyant force. The buoyant force is caused by the increase of pressure with depth in a fluid and is represented as F_Bottom = ρ_Fluid*[g]*(s+h)*A or Bottom Force = Density of Fluid*[g]*(Distance of Top Edge from Free Surface+Vertical Distance of Point from Free Surface)*Area of Surface. Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Distance of Top Edge from Free Surface is defined as the distance of top edge from the free surface along the plane of the plate, Vertical Distance of Point from Free Surface is defined as the distance between the point and the free surface & Area of Surface is defined as the total cross sectional area of the surface.

How to calculate Bottom Force on Plate?

The Bottom Force on Plate formula is defined as the function of the density of the fluid, gravitational acceleration, the distance of the top edge from the free surface, the Vertical Distance of the Point from the Free Surface, and the Area of the Surface. It is a common experience that an object feels lighter and weighs less in a liquid than it does in air. This can be demonstrated easily by weighing a heavy object in water with a waterproof spring scale. Also, objects made of wood or other light materials float on water. These and other observations suggest that a fluid exerts an upward force on a body immersed in it. This force that tends to lift the body is called the buoyant force. The buoyant force is caused by the increase of pressure with depth in a fluid is calculated using Bottom Force = Density of Fluid*[g]*(Distance of Top Edge from Free Surface+Vertical Distance of Point from Free Surface)*Area of Surface. To calculate Bottom Force on Plate, you need Density of Fluid (ρ_Fluid), Distance of Top Edge from Free Surface (s), Vertical Distance of Point from Free Surface (h) & Area of Surface (A). With our tool, you need to enter the respective value for Density of Fluid, Distance of Top Edge from Free Surface, Vertical Distance of Point from Free Surface & Area of Surface and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bottom Force?

In this formula, Bottom Force uses Density of Fluid, Distance of Top Edge from Free Surface, Vertical Distance of Point from Free Surface & Area of Surface. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bottom Force = Buoyant Force+Top Force

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