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Depth of Flow given Wetted Area of Triangular Channel Section Formula

GoDepth of Flow given Wetted Perimeter of Triangular Channel Section Formula

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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. Check FAQs

d f = \sqrt{\frac{A}{θ + \cot (θ)}}

d_f - Depth of Flow?A - Wetted Surface Area of Channel?θ - Theta?

Depth of Flow given Wetted Area of Triangular Channel Section Example

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Here is how the Depth of Flow given Wetted Area of Triangular Channel Section equation looks like with Values.

Here is how the Depth of Flow given Wetted Area of Triangular Channel Section equation looks like with Units.

Here is how the Depth of Flow given Wetted Area of Triangular Channel Section equation looks like.

3.3292 = \sqrt{\frac{25}{30 + \cot (30)}}

3.3292m = \sqrt{\frac{25m²}{30° + \cot (30°)}}

3.3292 = \sqrt{\frac{25}{30 + \cot (30)}}

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Depth of Flow given Wetted Area of Triangular Channel Section Solution

Follow our step by step solution on how to calculate Depth of Flow given Wetted Area of Triangular Channel Section?

FIRST Step Consider the formula

d f = \sqrt{\frac{A}{θ + \cot (θ)}}

Next Step Substitute values of Variables

∴

d f = \sqrt{\frac{25m²}{30° + \cot (30°)}}

Next Step Convert Units

∴

d f = \sqrt{\frac{25m²}{0.5236rad + \cot (0.5236rad)}}

Next Step Prepare to Evaluate

∴

d f = \sqrt{\frac{25}{0.5236 + \cot (0.5236)}}

Next Step Evaluate

∴

d f = 3.32915632139485m

LAST Step Rounding Answer

∴

d f = 3.3292m

Depth of Flow given Wetted Area of Triangular Channel Section Formula Elements

Variables

Functions

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

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

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Depth of Flow

Go Depth of Flow given Wetted Perimeter of Triangular Channel Section

d f = \frac{p}{2 \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 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}

Go Wetted Area of Trapezoidal Channel Section

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

How to Evaluate Depth of Flow given Wetted Area of Triangular Channel Section?

Depth of Flow given Wetted Area of Triangular Channel Section evaluator uses Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta))) to evaluate the Depth of Flow, The Depth of Flow given Wetted Area of Triangular Channel Section is defined as amount of water at any section of channel in flow. Depth of Flow is denoted by d_f symbol.

How to evaluate Depth of Flow given Wetted Area of Triangular Channel Section using this online evaluator? To use this online evaluator for Depth of Flow given Wetted Area of Triangular Channel Section, enter Wetted Surface Area of Channel (A) & Theta (θ) and hit the calculate button.

FAQs on Depth of Flow given Wetted Area of Triangular Channel Section

What is the formula to find Depth of Flow given Wetted Area of Triangular Channel Section?

The formula of Depth of Flow given Wetted Area of Triangular Channel Section is expressed as Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta))). Here is an example- 3.329156 = sqrt(25/(0.5235987755982+cot(0.5235987755982))).

How to calculate Depth of Flow given Wetted Area of Triangular Channel Section?

With Wetted Surface Area of Channel (A) & Theta (θ) we can find Depth of Flow given Wetted Area of Triangular Channel Section using the formula - Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta))). This formula also uses Cotangent (cot), Square Root (sqrt) function(s).

What are the other ways to Calculate Depth of Flow?

Here are the different ways to Calculate Depth of Flow-

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

Can the Depth of Flow given Wetted Area of Triangular Channel Section be negative?

No, the Depth of Flow given Wetted Area of Triangular Channel Section, measured in Length cannot be negative.

Which unit is used to measure Depth of Flow given Wetted Area of Triangular Channel Section?

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

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