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Wetted Area of Trapezoidal Channel Section Formula

GoWetted Area of Triangular Channel Section Formula

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Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water. Check FAQs

A = d f \cdot (B + d f \cdot (θ + \cot (θ)))

A - Wetted Surface Area of Channel?d_f - Depth of Flow?B - Width of Trapezoidal Channel Section?θ - Theta?

Wetted Area of Trapezoidal Channel Section Example

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Here is how the Wetted Area of Trapezoidal Channel Section equation looks like with Values.

Here is how the Wetted Area of Trapezoidal Channel Section equation looks like with Units.

Here is how the Wetted Area of Trapezoidal Channel Section equation looks like.

24.894 = 3.3 \cdot (100 + 3.3 \cdot (30 + \cot (30)))

24.894m² = 3.3m \cdot (100mm + 3.3m \cdot (30° + \cot (30°)))

24.894 = 3.3 \cdot (100 + 3.3 \cdot (30 + \cot (30)))

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Wetted Area of Trapezoidal Channel Section Solution

Follow our step by step solution on how to calculate Wetted Area of Trapezoidal Channel Section?

FIRST Step Consider the formula

A = d f \cdot (B + d f \cdot (θ + \cot (θ)))

Next Step Substitute values of Variables

∴

A = 3.3m \cdot (100mm + 3.3m \cdot (30° + \cot (30°)))

Next Step Convert Units

∴

A = 3.3m \cdot (0.1m + 3.3m \cdot (0.5236rad + \cot (0.5236rad)))

Next Step Prepare to Evaluate

∴

A = 3.3 \cdot (0.1 + 3.3 \cdot (0.5236 + \cot (0.5236)))

Next Step Evaluate

∴

A = 24.8940239606895m²

LAST Step Rounding Answer

∴

A = 24.894m²

Wetted Area of Trapezoidal Channel Section Formula Elements

Variables

Functions

Wetted Surface Area of Channel

Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Wetted Surface Area of Channel

Depth of Flow

Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Flow

Width of Trapezoidal Channel Section

Width of Trapezoidal Channel Section is the horizontal distance between its parallel sides or banks.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Trapezoidal Channel Section

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other Formulas to find Wetted Surface Area of Channel

Go Wetted Area of Triangular Channel Section

A = ({d f}^{2}) \cdot (θ + \cot (θ))

Other formulas in Practical Channel Sections category

Go Depth of Flow given Wetted Area of Triangular Channel Section

d f = \sqrt{\frac{A}{θ + \cot (θ)}}

Go Depth of Flow given Wetted Perimeter of Triangular Channel Section

d f = \frac{p}{2 \cdot (θ + \cot (θ))}

Go Wetted Perimeter of Triangular Channel Section

p = 2 \cdot d f \cdot (θ + \cot (θ))

Go Hydraulic Radius of Triangular Channel Section

R H = \frac{d f}{2}

How to Evaluate Wetted Area of Trapezoidal Channel Section?

Wetted Area of Trapezoidal Channel Section evaluator uses Wetted Surface Area of Channel = Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta))) to evaluate the Wetted Surface Area of Channel, The Wetted Area of Trapezoidal Channel Section formula is defined as surface in contact with water in section of channel. Wetted Surface Area of Channel is denoted by A symbol.

How to evaluate Wetted Area of Trapezoidal Channel Section using this online evaluator? To use this online evaluator for Wetted Area of Trapezoidal Channel Section, enter Depth of Flow (d_f), Width of Trapezoidal Channel Section (B) & Theta (θ) and hit the calculate button.

FAQs on Wetted Area of Trapezoidal Channel Section

What is the formula to find Wetted Area of Trapezoidal Channel Section?

The formula of Wetted Area of Trapezoidal Channel Section is expressed as Wetted Surface Area of Channel = Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta))). Here is an example- 24.89402 = 3.3*(0.1+3.3*(0.5235987755982+cot(0.5235987755982))).

How to calculate Wetted Area of Trapezoidal Channel Section?

With Depth of Flow (d_f), Width of Trapezoidal Channel Section (B) & Theta (θ) we can find Wetted Area of Trapezoidal Channel Section using the formula - Wetted Surface Area of Channel = Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta))). This formula also uses Cotangent (cot) function(s).

What are the other ways to Calculate Wetted Surface Area of Channel?

Here are the different ways to Calculate Wetted Surface Area of Channel-

Wetted Surface Area of Channel=(Depth of Flow^2)*(Theta+cot(Theta))

Can the Wetted Area of Trapezoidal Channel Section be negative?

Yes, the Wetted Area of Trapezoidal Channel Section, measured in Area can be negative.

Which unit is used to measure Wetted Area of Trapezoidal Channel Section?

Wetted Area of Trapezoidal Channel Section is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Wetted Area of Trapezoidal Channel Section can be measured.

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