Radius of Pipe given Velocity of Flow in Pipe by Manning Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)
Rh = ((vf*n)/(S^(1/2)))^(3/2)
This formula uses 4 Variables
Variables Used
Hydraulic Radius - (Measured in Meter) - Hydraulic Radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter.
Flow Velocity - (Measured in Meter per Second) - Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.
Manning Coefficient - Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.
Hydraulic Gradient - Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.
STEP 1: Convert Input(s) to Base Unit
Flow Velocity: 11.96 Meter per Second --> 11.96 Meter per Second No Conversion Required
Manning Coefficient: 0.009 --> No Conversion Required
Hydraulic Gradient: 0.25 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rh = ((vf*n)/(S^(1/2)))^(3/2) --> ((11.96*0.009)/(0.25^(1/2)))^(3/2)
Evaluating ... ...
Rh = 0.0998862082068991
STEP 3: Convert Result to Output's Unit
0.0998862082068991 Meter --> No Conversion Required
FINAL ANSWER
0.0998862082068991 0.099886 Meter <-- Hydraulic Radius
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Manning's Formula Calculators

Velocity of Flow in Pipe by Manning Formula
​ LaTeX ​ Go Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))
Radius of Pipe given Velocity of Flow in Pipe by Manning Formula
​ LaTeX ​ Go Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)
Manning's Coefficient given Velocity of Flow
​ LaTeX ​ Go Manning Coefficient = ((Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)))/Flow Velocity
Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula
​ LaTeX ​ Go Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2

Radius of Pipe given Velocity of Flow in Pipe by Manning Formula Formula

​LaTeX ​Go
Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)
Rh = ((vf*n)/(S^(1/2)))^(3/2)

What is Flow Velocity ?

Flow velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.

How to Calculate Radius of Pipe given Velocity of Flow in Pipe by Manning Formula?

Radius of Pipe given Velocity of Flow in Pipe by Manning Formula calculator uses Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2) to calculate the Hydraulic Radius, The Radius of Pipe given Velocity of Flow in Pipe by Manning Formula is defined as the value of radius of pipe calculated using Manning's formula, when we have prior information of velocity of flow and other parameters used. Hydraulic Radius is denoted by Rh symbol.

How to calculate Radius of Pipe given Velocity of Flow in Pipe by Manning Formula using this online calculator? To use this online calculator for Radius of Pipe given Velocity of Flow in Pipe by Manning Formula, enter Flow Velocity (vf), Manning Coefficient (n) & Hydraulic Gradient (S) and hit the calculate button. Here is how the Radius of Pipe given Velocity of Flow in Pipe by Manning Formula calculation can be explained with given input values -> 0.099886 = ((11.96*0.009)/(0.25^(1/2)))^(3/2).

FAQ

What is Radius of Pipe given Velocity of Flow in Pipe by Manning Formula?
The Radius of Pipe given Velocity of Flow in Pipe by Manning Formula is defined as the value of radius of pipe calculated using Manning's formula, when we have prior information of velocity of flow and other parameters used and is represented as Rh = ((vf*n)/(S^(1/2)))^(3/2) or Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2). Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time, Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows & Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.
How to calculate Radius of Pipe given Velocity of Flow in Pipe by Manning Formula?
The Radius of Pipe given Velocity of Flow in Pipe by Manning Formula is defined as the value of radius of pipe calculated using Manning's formula, when we have prior information of velocity of flow and other parameters used is calculated using Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2). To calculate Radius of Pipe given Velocity of Flow in Pipe by Manning Formula, you need Flow Velocity (vf), Manning Coefficient (n) & Hydraulic Gradient (S). With our tool, you need to enter the respective value for Flow Velocity, Manning Coefficient & Hydraulic Gradient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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