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Wetted Perimeter of Trapezoidal Channel Section Formula

GoWetted Perimeter of Triangular Channel Section Formula

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Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body. Check FAQs

p = (B + 2 \cdot d f \cdot (θ + \cot (θ)))

p - Wetted Perimeter of Channel?B - Width of Trapezoidal Channel Section?d_f - Depth of Flow?θ - Theta?

Wetted Perimeter of Trapezoidal Channel Section Example

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

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

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

14.9873 = (100 + 2 \cdot 3.3 \cdot (30 + \cot (30)))

14.9873m = (100mm + 2 \cdot 3.3m \cdot (30° + \cot (30°)))

14.9873 = (100 + 2 \cdot 3.3 \cdot (30 + \cot (30)))

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Wetted Perimeter of Trapezoidal Channel Section Solution

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

FIRST Step Consider the formula

p = (B + 2 \cdot d f \cdot (θ + \cot (θ)))

Next Step Substitute values of Variables

∴

p = (100mm + 2 \cdot 3.3m \cdot (30° + \cot (30°)))

Next Step Convert Units

∴

p = (0.1m + 2 \cdot 3.3m \cdot (0.5236rad + \cot (0.5236rad)))

Next Step Prepare to Evaluate

∴

p = (0.1 + 2 \cdot 3.3 \cdot (0.5236 + \cot (0.5236)))

Next Step Evaluate

∴

p = 14.9872872489027m

LAST Step Rounding Answer

∴

p = 14.9873m

Wetted Perimeter of Trapezoidal Channel Section Formula Elements

Variables

Functions

Wetted Perimeter of Channel

Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wetted Perimeter of Channel

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

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

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 Perimeter of Channel

Go Wetted Perimeter of Triangular Channel Section

p = 2 \cdot d f \cdot (θ + \cot (θ))

Other formulas in Practical Channel Sections category

Go Wetted Area of Triangular Channel Section

A = ({d f}^{2}) \cdot (θ + \cot (θ))

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 Hydraulic Radius of Triangular Channel Section

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

How to Evaluate Wetted Perimeter of Trapezoidal Channel Section?

Wetted Perimeter of Trapezoidal Channel Section evaluator uses Wetted Perimeter of Channel = (Width of Trapezoidal Channel Section+2*Depth of Flow*(Theta+cot(Theta))) to evaluate the Wetted Perimeter of Channel, The Wetted Perimeter of Trapezoidal Channel Section is defined as surface boundary in contact with water in section . Wetted Perimeter of Channel is denoted by p symbol.

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

FAQs on Wetted Perimeter of Trapezoidal Channel Section

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

The formula of Wetted Perimeter of Trapezoidal Channel Section is expressed as Wetted Perimeter of Channel = (Width of Trapezoidal Channel Section+2*Depth of Flow*(Theta+cot(Theta))). Here is an example- 14.98729 = (0.1+2*3.3*(0.5235987755982+cot(0.5235987755982))).

How to calculate Wetted Perimeter of Trapezoidal Channel Section?

With Width of Trapezoidal Channel Section (B), Depth of Flow (d_f) & Theta (θ) we can find Wetted Perimeter of Trapezoidal Channel Section using the formula - Wetted Perimeter of Channel = (Width of Trapezoidal Channel Section+2*Depth of Flow*(Theta+cot(Theta))). This formula also uses Cotangent (cot) function(s).

What are the other ways to Calculate Wetted Perimeter of Channel?

Here are the different ways to Calculate Wetted Perimeter of Channel-

Wetted Perimeter of Channel=2*Depth of Flow*(Theta+cot(Theta))

Can the Wetted Perimeter of Trapezoidal Channel Section be negative?

No, the Wetted Perimeter of Trapezoidal Channel Section, measured in Length cannot be negative.

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

Wetted Perimeter of Trapezoidal Channel Section is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wetted Perimeter of Trapezoidal Channel Section can be measured.

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Wetted Perimeter of Trapezoidal Channel Section Formula

​GoWetted Perimeter of Triangular Channel Section Formula

Wetted Perimeter of Trapezoidal Channel Section Example

Wetted Perimeter of Trapezoidal Channel Section Solution

Wetted Perimeter of Trapezoidal Channel Section Formula Elements

Other Formulas to find Wetted Perimeter of Channel

Other formulas in Practical Channel Sections category

How to Evaluate Wetted Perimeter of Trapezoidal Channel Section?

FAQs on Wetted Perimeter of Trapezoidal Channel Section

Variable Name

GoWetted Perimeter of Triangular Channel Section Formula