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Resultant Force Acting on Completely Submerged Plate given Intersecting Angle Formula

GoResultant Force Acting on Plane Surface of Completely Submerged Plate Formula

GoResultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid Formula

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Resultant Force is defined as the total net force of various forces acting on an object. Check FAQs

F R = (P o + (ρ Fluid \cdot [g] \cdot y c \cdot \sin (θ Intersect))) \cdot (A)

F_R - Resultant Force?P_o - Absolute Pressure above Liquid?ρ_Fluid - Density of Fluid?y_c - Distance of the Centroid from X-Axis?θ_Intersect - Intersecting Angle?A - Area of Surface?[g] - Gravitational acceleration on Earth?

Resultant Force Acting on Completely Submerged Plate given Intersecting Angle Example

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Here is how the Resultant Force Acting on Completely Submerged Plate given Intersecting Angle equation looks like with Values.

Here is how the Resultant Force Acting on Completely Submerged Plate given Intersecting Angle equation looks like with Units.

Here is how the Resultant Force Acting on Completely Submerged Plate given Intersecting Angle equation looks like.

1.2E+6 = (101325 + (1.225 \cdot 9.8066 \cdot 1.96 \cdot \sin (30))) \cdot (12.3)

1.2E+6N = (101325Pa + (1.225kg/m³ \cdot 9.8066m/s² \cdot 1.96m \cdot \sin (30°))) \cdot (12.3m²)

1.2E+6 = (101325 + (1.225 \cdot 9.8066 \cdot 1.96 \cdot \sin (30))) \cdot (12.3)

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Resultant Force Acting on Completely Submerged Plate given Intersecting Angle Solution

Follow our step by step solution on how to calculate Resultant Force Acting on Completely Submerged Plate given Intersecting Angle?

FIRST Step Consider the formula

F R = (P o + (ρ Fluid \cdot [g] \cdot y c \cdot \sin (θ Intersect))) \cdot (A)

Next Step Substitute values of Variables

∴

F R = (101325Pa + (1.225kg/m³ \cdot [g] \cdot 1.96m \cdot \sin (30°))) \cdot (12.3m²)

Next Step Substitute values of Constants

∴

F R = (101325Pa + (1.225kg/m³ \cdot 9.8066m/s² \cdot 1.96m \cdot \sin (30°))) \cdot (12.3m²)

Next Step Convert Units

∴

F R = (101325Pa + (1.225kg/m³ \cdot 9.8066m/s² \cdot 1.96m \cdot \sin (0.5236rad))) \cdot (12.3m²)

Next Step Prepare to Evaluate

∴

F R = (101325 + (1.225 \cdot 9.8066 \cdot 1.96 \cdot \sin (0.5236))) \cdot (12.3)

Next Step Evaluate

∴

F R = 1246442.3064649N

LAST Step Rounding Answer

∴

F R = 1.2E+6N

Resultant Force Acting on Completely Submerged Plate given Intersecting Angle Formula Elements

Variables

Constants

Functions

Resultant Force

Resultant Force is defined as the total net force of various forces acting on an object.

Symbol: F_R

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resultant Force

Absolute Pressure above Liquid

Absolute Pressure above Liquid is defined as the absolute pressure exerted by the atmosphere above the liquid surface.

Symbol: P_o

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Absolute Pressure above Liquid

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

Distance of the Centroid from X-Axis

Distance of the Centroid from X-Axis is defined as the total distance of the centroid from the x-axis.

Symbol: y_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance of the Centroid from X-Axis

Intersecting Angle

Intersecting Angle is defined as angle at which the top surface of the plate and the horizontal free surface intersects.

Symbol: θ_Intersect

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Intersecting Angle

Area of Surface

Area of Surface is defined as the total cross sectional area of the surface.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Surface

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Resultant Force

Go Resultant Force Acting on Plane Surface of Completely Submerged Plate

F R = P c \cdot A

Go Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid

F R = (P o + (ρ Fluid \cdot [g] \cdot h c)) \cdot (A)

Go Resultant Force Acting on Completely Submerged Rectangular Flat Plate

F R = (P o + (ρ Fluid \cdot [g] \cdot (s + (\frac{b}{2})) \cdot \sin (θ T))) \cdot (a \cdot b)

Go Resultant Force Acting on Horizontal Rectangular Surface

F R = (P o + (ρ Fluid \cdot [g] \cdot h)) \cdot (a \cdot b)

Other formulas in Hydrostatic Forces on Surfaces category

Go Absolute Pressure at any Point on Submerged Plate

P = P o + (ρ Fluid \cdot [g] \cdot h)

Go Absolute Pressure at any Point on Submerged Plate given Intersecting Angle

P = P o + (ρ Fluid \cdot [g] \cdot y \cdot \sin (θ Intersect))

Go Average Pressure given Resultant Force

P Avg = \frac{F R}{A}

How to Evaluate Resultant Force Acting on Completely Submerged Plate given Intersecting Angle?

Resultant Force Acting on Completely Submerged Plate given Intersecting Angle evaluator uses Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Distance of the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface) to evaluate the Resultant Force, The Resultant Force Acting on Completely Submerged Plate given Intersecting Angle formula is defined as the function of Absolute Pressure above the liquid film, density of fluid, gravitational acceleration, distance of centroid, intersecting angle and Area of surface. The magnitude of the resultant force acting on a plane surface of a completely submerged plate in a homogeneous (constant density) fluid is equal to the product of the pressure Pc at the centroid of the surface and the area A of the surface. Resultant Force is denoted by F_R symbol.

How to evaluate Resultant Force Acting on Completely Submerged Plate given Intersecting Angle using this online evaluator? To use this online evaluator for Resultant Force Acting on Completely Submerged Plate given Intersecting Angle, enter Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of the Centroid from X-Axis (y_c), Intersecting Angle (θ_Intersect) & Area of Surface (A) and hit the calculate button.

FAQs on Resultant Force Acting on Completely Submerged Plate given Intersecting Angle

What is the formula to find Resultant Force Acting on Completely Submerged Plate given Intersecting Angle?

The formula of Resultant Force Acting on Completely Submerged Plate given Intersecting Angle is expressed as Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Distance of the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface). Here is an example- 1.2E+6 = (101325+(1.225*[g]*1.96*sin(0.5235987755982)))*(12.3).

How to calculate Resultant Force Acting on Completely Submerged Plate given Intersecting Angle?

With Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of the Centroid from X-Axis (y_c), Intersecting Angle (θ_Intersect) & Area of Surface (A) we can find Resultant Force Acting on Completely Submerged Plate given Intersecting Angle using the formula - Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Distance of the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface). This formula also uses Gravitational acceleration on Earth constant(s) and Sine (sin) function(s).

What are the other ways to Calculate Resultant Force?

Here are the different ways to Calculate Resultant Force-

Resultant Force=Pressure at Centroid of Surface*Area of Surface
Resultant Force=(Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Centroid))*(Area of Surface)
Resultant Force=(Absolute Pressure above Liquid+(Density of Fluid*[g]*(Distance of Top Edge from Free Surface+(Height of Rectangular Plate/2))*sin(Tilt Angle)))*(Width of Rectangular Plate*Height of Rectangular Plate)

Can the Resultant Force Acting on Completely Submerged Plate given Intersecting Angle be negative?

No, the Resultant Force Acting on Completely Submerged Plate given Intersecting Angle, measured in Force cannot be negative.

Which unit is used to measure Resultant Force Acting on Completely Submerged Plate given Intersecting Angle?

Resultant Force Acting on Completely Submerged Plate given Intersecting Angle is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Resultant Force Acting on Completely Submerged Plate given Intersecting Angle can be measured.

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Resultant Force Acting on Completely Submerged Plate given Intersecting Angle Formula

​GoResultant Force Acting on Plane Surface of Completely Submerged Plate Formula

​GoResultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid Formula

Resultant Force Acting on Completely Submerged Plate given Intersecting Angle Example

Resultant Force Acting on Completely Submerged Plate given Intersecting Angle Solution

Resultant Force Acting on Completely Submerged Plate given Intersecting Angle Formula Elements

Other Formulas to find Resultant Force

Other formulas in Hydrostatic Forces on Surfaces category

How to Evaluate Resultant Force Acting on Completely Submerged Plate given Intersecting Angle?

FAQs on Resultant Force Acting on Completely Submerged Plate given Intersecting Angle

Variable Name

GoResultant Force Acting on Plane Surface of Completely Submerged Plate Formula

GoResultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid Formula