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Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula Calculator

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✖Flow Velocity for Chezy's Formula refers to the speed of water flow in an open channel, calculated using the Chezy constant and hydraulic slope.ⓘ Flow Velocity for Chezy's Formula [V_c]			+10% -10%
✖The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.ⓘ Chezy's Constant [C]			+10% -10%
✖The Slope for Chezy's Formula refers to the hydraulic gradient or energy slope, indicating the decline in water surface elevation per unit length.ⓘ Slope for Chezy's Formula [S_c]			+10% -10%

✖The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.ⓘ Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula [m]

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Formula

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Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula

Formula

m = \frac{{(V c)}^{2}}{{(C)}^{2} \cdot S c}

Example

9.960357 m = \frac{{(5.01 m/s)}^{2}}{{(15)}^{2} \cdot 0.0112}

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Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Mean Depth = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Slope for Chezy's Formula)
m = (V_c)^2/((C)^2*S_c)
This formula uses 4 Variables

Variables Used

Hydraulic Mean Depth - (Measured in Meter) - The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.
Flow Velocity for Chezy's Formula - (Measured in Meter per Second) - Flow Velocity for Chezy's Formula refers to the speed of water flow in an open channel, calculated using the Chezy constant and hydraulic slope.
Chezy's Constant - The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.
Slope for Chezy's Formula - The Slope for Chezy's Formula refers to the hydraulic gradient or energy slope, indicating the decline in water surface elevation per unit length.

STEP 1: Convert Input(s) to Base Unit

Flow Velocity for Chezy's Formula: 5.01 Meter per Second --> 5.01 Meter per Second No Conversion Required
Chezy's Constant: 15 --> No Conversion Required
Slope for Chezy's Formula: 0.0112 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = (V_c)^2/((C)^2*S_c) --> (5.01)^2/((15)^2*0.0112)

Evaluating ... ...

m = 9.96035714285714

STEP 3: Convert Result to Output's Unit

9.96035714285714 Meter --> No Conversion Required

FINAL ANSWER

9.96035714285714 ≈ 9.960357 Meter <-- Hydraulic Mean Depth

(Calculation completed in 00.004 seconds)

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< Chezy's Formula Calculators

Chezy's Constant given Velocity of Flow by Chezy's Formula

Go Chezy's Constant = Flow Velocity for Chezy's Formula/sqrt(Slope for Chezy's Formula*Hydraulic Mean Depth)

Velocity of Flow by Chezy's Formula

Go Flow Velocity for Chezy's Formula = Chezy's Constant*sqrt(Slope for Chezy's Formula*Hydraulic Mean Depth)

Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula

Go Hydraulic Mean Depth = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Slope for Chezy's Formula)

Hydraulic Gradient given Velocity of Flow by Chezy's Formula

Go Slope for Chezy's Formula = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Hydraulic Mean Depth)

Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula Formula

Hydraulic Mean Depth = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Slope for Chezy's Formula)
m = (V_c)^2/((C)^2*S_c)

What is Chezy's Constant ?

Chezy's constant is an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.

How to Calculate Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula?

Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula calculator uses Hydraulic Mean Depth = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Slope for Chezy's Formula) to calculate the Hydraulic Mean Depth, The Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula is defined as the cross-sectional area of the flow in a channel, which is used to calculate the hydraulic radius by dividing it by the wetted perimeter. Hydraulic Mean Depth is denoted by m symbol.

How to calculate Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula using this online calculator? To use this online calculator for Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula, enter Flow Velocity for Chezy's Formula (V_c), Chezy's Constant (C) & Slope for Chezy's Formula (S_c) and hit the calculate button. Here is how the Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula calculation can be explained with given input values -> 9.960357 = (5.01)^2/((15)^2*0.0112).

FAQ

What is Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula?

The Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula is defined as the cross-sectional area of the flow in a channel, which is used to calculate the hydraulic radius by dividing it by the wetted perimeter and is represented as m = (V_c)^2/((C)^2*S_c) or Hydraulic Mean Depth = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Slope for Chezy's Formula). Flow Velocity for Chezy's Formula refers to the speed of water flow in an open channel, calculated using the Chezy constant and hydraulic slope, The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness & The Slope for Chezy's Formula refers to the hydraulic gradient or energy slope, indicating the decline in water surface elevation per unit length.

How to calculate Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula?

The Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula is defined as the cross-sectional area of the flow in a channel, which is used to calculate the hydraulic radius by dividing it by the wetted perimeter is calculated using Hydraulic Mean Depth = (Flow Velocity for Chezy's Formula)^2/((Chezy's Constant)^2*Slope for Chezy's Formula). To calculate Hydraulic Mean Radius of Channel given Velocity of Flow by Chezy's Formula, you need Flow Velocity for Chezy's Formula (V_c), Chezy's Constant (C) & Slope for Chezy's Formula (S_c). With our tool, you need to enter the respective value for Flow Velocity for Chezy's Formula, Chezy's Constant & Slope for Chezy's Formula and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hydraulic Mean Depth?

In this formula, Hydraulic Mean Depth uses Flow Velocity for Chezy's Formula, Chezy's Constant & Slope for Chezy's Formula. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hydraulic Mean Depth = (Wetted Area/Wetted Perimeter)

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