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Force given Surface Tension using Wilhelmy-Plate Method Formula

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Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity. Check FAQs

F = (ρ p \cdot [g] \cdot (L \cdot B \cdot t)) + (2 \cdot γ \cdot (t + B) \cdot (\cos (θ))) - (ρ fluid \cdot [g] \cdot t \cdot B \cdot h p)

F - Force?ρ_p - Density of Plate?L - Length of Plate?B - Width of Full Size Bearing Plate?t - Thickness of Plate?γ - Surface Tension of Fluid?θ - Contact Angle?ρ_fluid - Density of Fluid?h_p - Depth of Plate?[g] - Gravitational acceleration on Earth?[g] - Gravitational acceleration on Earth?

Force given Surface Tension using Wilhelmy-Plate Method Example

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Here is how the Force given Surface Tension using Wilhelmy-Plate Method equation looks like with Values.

Here is how the Force given Surface Tension using Wilhelmy-Plate Method equation looks like with Units.

Here is how the Force given Surface Tension using Wilhelmy-Plate Method equation looks like.

4.2E+9 = (12.2 \cdot 9.8066 \cdot (50 \cdot 200 \cdot 5000)) + (2 \cdot 73 \cdot (5000 + 200) \cdot (\cos (15.1))) - (14.9 \cdot 9.8066 \cdot 5000 \cdot 200 \cdot 12.1)

4.2E+9N = (12.2kg/m³ \cdot 9.8066m/s² \cdot (50mm \cdot 200mm \cdot 5000mm)) + (2 \cdot 73mN/m \cdot (5000mm + 200mm) \cdot (\cos (15.1°))) - (14.9kg/m³ \cdot 9.8066m/s² \cdot 5000mm \cdot 200mm \cdot 12.1mm)

4.2E+9 = (12.2 \cdot 9.8066 \cdot (50 \cdot 200 \cdot 5000)) + (2 \cdot 73 \cdot (5000 + 200) \cdot (\cos (15.1))) - (14.9 \cdot 9.8066 \cdot 5000 \cdot 200 \cdot 12.1)

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Force given Surface Tension using Wilhelmy-Plate Method Solution

Follow our step by step solution on how to calculate Force given Surface Tension using Wilhelmy-Plate Method?

FIRST Step Consider the formula

F = (ρ p \cdot [g] \cdot (L \cdot B \cdot t)) + (2 \cdot γ \cdot (t + B) \cdot (\cos (θ))) - (ρ fluid \cdot [g] \cdot t \cdot B \cdot h p)

Next Step Substitute values of Variables

∴

F = (12.2kg/m³ \cdot [g] \cdot (50mm \cdot 200mm \cdot 5000mm)) + (2 \cdot 73mN/m \cdot (5000mm + 200mm) \cdot (\cos (15.1°))) - (14.9kg/m³ \cdot [g] \cdot 5000mm \cdot 200mm \cdot 12.1mm)

Next Step Substitute values of Constants

∴

F = (12.2kg/m³ \cdot 9.8066m/s² \cdot (50mm \cdot 200mm \cdot 5000mm)) + (2 \cdot 73mN/m \cdot (5000mm + 200mm) \cdot (\cos (15.1°))) - (14.9kg/m³ \cdot 9.8066m/s² \cdot 5000mm \cdot 200mm \cdot 12.1mm)

Next Step Convert Units

∴

F = (12.2kg/m³ \cdot 9.8066m/s² \cdot (50mm \cdot 200mm \cdot 5000mm)) + (2 \cdot 0.073N/m \cdot (5000mm + 200mm) \cdot (\cos (0.2635rad))) - (14.9kg/m³ \cdot 9.8066m/s² \cdot 5000mm \cdot 200mm \cdot 12.1mm)

Next Step Prepare to Evaluate

∴

F = (12.2 \cdot 9.8066 \cdot (50 \cdot 200 \cdot 5000)) + (2 \cdot 0.073 \cdot (5000 + 200) \cdot (\cos (0.2635))) - (14.9 \cdot 9.8066 \cdot 5000 \cdot 200 \cdot 12.1)

Next Step Evaluate

∴

F = 4214016304.48682N

LAST Step Rounding Answer

∴

F = 4.2E+9N

Force given Surface Tension using Wilhelmy-Plate Method Formula Elements

Variables

Constants

Functions

Force

Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force

Density of Plate

The Density of Plate is the ratio of the mass of the plate to its volume.

Symbol: ρ_p

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Plate

Length of Plate

Length of Plate is the distance between two extreme points along one side of the base plate.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Plate

Width of Full Size Bearing Plate

Width of Full Size Bearing Plate is the smaller dimension of plate.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Full Size Bearing Plate

Thickness of Plate

Thickness of Plate is defined as the thickness of plate (usually the lowest dimension of the plate) under consideration.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Plate

Surface Tension of Fluid

Surface Tension of Fluid is the energy or work required to increase the surface area of a fluid due to intermolecular forces.

Symbol: γ

Measurement: Surface TensionUnit: mN/m

Note: Value should be greater than 0.

Formulas to find Surface Tension of Fluid

Contact Angle

The Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Contact Angle

Density of Fluid

Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

Symbol: ρ_fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Depth of Plate

Depth of Plate is a dimension taken through the surface of the plate, usually downward from an upper surface, horizontally inward from an outer surface.

Symbol: h_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Plate

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Wilhelmy Plate Method category

Go Parachor given Surface Tension

P s = (\frac{M molar}{ρ liq - ρ v}) \cdot {(γ)}^{\frac{1}{4}}

Go Surface Pressure

Π = γ o - γ

How to Evaluate Force given Surface Tension using Wilhelmy-Plate Method?

Force given Surface Tension using Wilhelmy-Plate Method evaluator uses Force = (Density of Plate*[g]*(Length of Plate*Width of Full Size Bearing Plate*Thickness of Plate))+(2*Surface Tension of Fluid*(Thickness of Plate+Width of Full Size Bearing Plate)*(cos(Contact Angle)))-(Density of Fluid*[g]*Thickness of Plate*Width of Full Size Bearing Plate*Depth of Plate) to evaluate the Force, The Force given Surface Tension using Wilhelmy-Plate Method formula is the net downward force which is expressed in dimensions of rectangular plate i.e., Lp and Wp and material density ρ, depth hp in a liquid of density ρL. Force is denoted by F symbol.

How to evaluate Force given Surface Tension using Wilhelmy-Plate Method using this online evaluator? To use this online evaluator for Force given Surface Tension using Wilhelmy-Plate Method, enter Density of Plate (ρ_p), Length of Plate (L), Width of Full Size Bearing Plate (B), Thickness of Plate (t), Surface Tension of Fluid (γ), Contact Angle (θ), Density of Fluid (ρ_fluid) & Depth of Plate (h_p) and hit the calculate button.

FAQs on Force given Surface Tension using Wilhelmy-Plate Method

What is the formula to find Force given Surface Tension using Wilhelmy-Plate Method?

The formula of Force given Surface Tension using Wilhelmy-Plate Method is expressed as Force = (Density of Plate*[g]*(Length of Plate*Width of Full Size Bearing Plate*Thickness of Plate))+(2*Surface Tension of Fluid*(Thickness of Plate+Width of Full Size Bearing Plate)*(cos(Contact Angle)))-(Density of Fluid*[g]*Thickness of Plate*Width of Full Size Bearing Plate*Depth of Plate). Here is an example- 4.2E+9 = (12.2*[g]*(0.05*0.2*5))+(2*0.073*(5+0.2)*(cos(0.263544717051094)))-(14.9*[g]*5*0.2*0.0121).

How to calculate Force given Surface Tension using Wilhelmy-Plate Method?

With Density of Plate (ρ_p), Length of Plate (L), Width of Full Size Bearing Plate (B), Thickness of Plate (t), Surface Tension of Fluid (γ), Contact Angle (θ), Density of Fluid (ρ_fluid) & Depth of Plate (h_p) we can find Force given Surface Tension using Wilhelmy-Plate Method using the formula - Force = (Density of Plate*[g]*(Length of Plate*Width of Full Size Bearing Plate*Thickness of Plate))+(2*Surface Tension of Fluid*(Thickness of Plate+Width of Full Size Bearing Plate)*(cos(Contact Angle)))-(Density of Fluid*[g]*Thickness of Plate*Width of Full Size Bearing Plate*Depth of Plate). This formula also uses Gravitational acceleration on Earth, Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Force given Surface Tension using Wilhelmy-Plate Method be negative?

No, the Force given Surface Tension using Wilhelmy-Plate Method, measured in Force cannot be negative.

Which unit is used to measure Force given Surface Tension using Wilhelmy-Plate Method?

Force given Surface Tension using Wilhelmy-Plate Method is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force given Surface Tension using Wilhelmy-Plate Method can be measured.

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Force given Surface Tension using Wilhelmy-Plate Method Formula

Force given Surface Tension using Wilhelmy-Plate Method Example

Force given Surface Tension using Wilhelmy-Plate Method Solution

Force given Surface Tension using Wilhelmy-Plate Method Formula Elements

Other formulas in Wilhelmy Plate Method category

How to Evaluate Force given Surface Tension using Wilhelmy-Plate Method?

FAQs on Force given Surface Tension using Wilhelmy-Plate Method

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