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Resultant Force Acting on Completely Submerged Rectangular Flat Plate 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 (s + (\frac{b}{2})) \cdot \sin (θ T))) \cdot (a \cdot b)

F_R - Resultant Force?P_o - Absolute Pressure above Liquid?ρ_Fluid - Density of Fluid?s - Distance of Top Edge from Free Surface?b - Height of Rectangular Plate?θ_T - Tilt Angle?a - Width of Rectangular Plate?[g] - Gravitational acceleration on Earth?

Resultant Force Acting on Completely Submerged Rectangular Flat Plate Example

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Here is how the Resultant Force Acting on Completely Submerged Rectangular Flat Plate equation looks like with Values.

Here is how the Resultant Force Acting on Completely Submerged Rectangular Flat Plate equation looks like with Units.

Here is how the Resultant Force Acting on Completely Submerged Rectangular Flat Plate equation looks like.

2.3E+6 = (101325 + (1.225 \cdot 9.8066 \cdot (5.2 + (\frac{6.3}{2})) \cdot \sin (45))) \cdot (3.6 \cdot 6.3)

2.3E+6N = (101325Pa + (1.225kg/m³ \cdot 9.8066m/s² \cdot (5.2m + (\frac{6.3m}{2})) \cdot \sin (45°))) \cdot (3.6m \cdot 6.3m)

2.3E+6 = (101325 + (1.225 \cdot 9.8066 \cdot (5.2 + (\frac{6.3}{2})) \cdot \sin (45))) \cdot (3.6 \cdot 6.3)

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Resultant Force Acting on Completely Submerged Rectangular Flat Plate Solution

Follow our step by step solution on how to calculate Resultant Force Acting on Completely Submerged Rectangular Flat Plate?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F R = (101325Pa + (1.225kg/m³ \cdot [g] \cdot (5.2m + (\frac{6.3m}{2})) \cdot \sin (45°))) \cdot (3.6m \cdot 6.3m)

Next Step Substitute values of Constants

∴

F R = (101325Pa + (1.225kg/m³ \cdot 9.8066m/s² \cdot (5.2m + (\frac{6.3m}{2})) \cdot \sin (45°))) \cdot (3.6m \cdot 6.3m)

Next Step Convert Units

∴

F R = (101325Pa + (1.225kg/m³ \cdot 9.8066m/s² \cdot (5.2m + (\frac{6.3m}{2})) \cdot \sin (0.7854rad))) \cdot (3.6m \cdot 6.3m)

Next Step Prepare to Evaluate

∴

F R = (101325 + (1.225 \cdot 9.8066 \cdot (5.2 + (\frac{6.3}{2})) \cdot \sin (0.7854))) \cdot (3.6 \cdot 6.3)

Next Step Evaluate

∴

F R = 2299659.68603658N

LAST Step Rounding Answer

∴

F R = 2.3E+6N

Resultant Force Acting on Completely Submerged Rectangular Flat Plate 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 Top Edge from Free Surface

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.

Symbol: s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance of Top Edge from Free Surface

Height of Rectangular Plate

Height of Rectangular Plate is defined as the length of height of the rectangular plate.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Rectangular Plate

Tilt Angle

Tilt Angle is defined as the angle at which rectangular plane is tilted.

Symbol: θ_T

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Tilt Angle

Width of Rectangular Plate

Width of Rectangular Plate is defined as the length of width of rectangular plate.

Symbol: a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width of Rectangular 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

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)

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))

How to Evaluate Resultant Force Acting on Completely Submerged Rectangular Flat Plate?

Resultant Force Acting on Completely Submerged Rectangular Flat Plate evaluator uses 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) to evaluate the Resultant Force, The Resultant Force Acting on Completely Submerged Rectangular Flat Plate formula is defined as the function of Absolute Pressure above the Liquid, Density of Fluid, gravitational acceleration, Distance of Top Edge from Free Surface, Height of Rectangular Plate, Tilt Angle and Width of Rectangular Plate. Resultant Force is denoted by F_R symbol.

How to evaluate Resultant Force Acting on Completely Submerged Rectangular Flat Plate using this online evaluator? To use this online evaluator for Resultant Force Acting on Completely Submerged Rectangular Flat Plate, enter Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of Top Edge from Free Surface (s), Height of Rectangular Plate (b), Tilt Angle (θ_T) & Width of Rectangular Plate (a) and hit the calculate button.

FAQs on Resultant Force Acting on Completely Submerged Rectangular Flat Plate

What is the formula to find Resultant Force Acting on Completely Submerged Rectangular Flat Plate?

The formula of Resultant Force Acting on Completely Submerged Rectangular Flat Plate is expressed as 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). Here is an example- 2.3E+6 = (101325+(1.225*[g]*(5.2+(6.3/2))*sin(0.785398163397301)))*(3.6*6.3).

How to calculate Resultant Force Acting on Completely Submerged Rectangular Flat Plate?

With Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of Top Edge from Free Surface (s), Height of Rectangular Plate (b), Tilt Angle (θ_T) & Width of Rectangular Plate (a) we can find Resultant Force Acting on Completely Submerged Rectangular Flat Plate using the formula - 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). 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 the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface)

Can the Resultant Force Acting on Completely Submerged Rectangular Flat Plate be negative?

No, the Resultant Force Acting on Completely Submerged Rectangular Flat Plate, measured in Force cannot be negative.

Which unit is used to measure Resultant Force Acting on Completely Submerged Rectangular Flat Plate?

Resultant Force Acting on Completely Submerged Rectangular Flat Plate 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 Rectangular Flat Plate can be measured.

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Resultant Force Acting on Completely Submerged Rectangular Flat Plate 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 Rectangular Flat Plate Example

Resultant Force Acting on Completely Submerged Rectangular Flat Plate Solution

Resultant Force Acting on Completely Submerged Rectangular Flat Plate 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 Rectangular Flat Plate?

FAQs on Resultant Force Acting on Completely Submerged Rectangular Flat Plate

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