Top Width given Specific Force Calculator

✖Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area of Channel [A_cs]			+10% -10%
✖Specific Force in OCF (open channel) is dependent on discharge and cross sectional area.ⓘ Specific Force in OCF [F]			+10% -10%
✖Distance from Centroidal is the average distance between all points and the central point.ⓘ Distance from Centroidal [Y_t]			+10% -10%

✖Top Width is defined as the width at the top of the section.ⓘ Top Width given Specific Force [T]

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Formula

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Top Width given Specific Force

Formula

`"T" = ("A"_{"cs"}^2)/("F"-"A"_{"cs"}*"Y"_{"t"})`

Example

`"2.102804m"=(("15m²")^2)/("410m³"-"15m²"*"20.2m")`

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Download Metering Flumes and Momentum in Open-Channel Flow Specific Force Formulas PDF

Top Width given Specific Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Top Width = (Cross-Sectional Area of Channel^2)/(Specific Force in OCF-Cross-Sectional Area of Channel*Distance from Centroidal)
T = (A_cs^2)/(F-A_cs*Y_t)
This formula uses 4 Variables

Variables Used

Top Width - (Measured in Meter) - Top Width is defined as the width at the top of the section.
Cross-Sectional Area of Channel - (Measured in Square Meter) - Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Specific Force in OCF - (Measured in Cubic Meter) - Specific Force in OCF (open channel) is dependent on discharge and cross sectional area.
Distance from Centroidal - (Measured in Meter) - Distance from Centroidal is the average distance between all points and the central point.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area of Channel: 15 Square Meter --> 15 Square Meter No Conversion Required
Specific Force in OCF: 410 Cubic Meter --> 410 Cubic Meter No Conversion Required
Distance from Centroidal: 20.2 Meter --> 20.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (A_cs^2)/(F-A_cs*Y_t) --> (15^2)/(410-15*20.2)

Evaluating ... ...

T = 2.10280373831776

STEP 3: Convert Result to Output's Unit

2.10280373831776 Meter --> No Conversion Required

FINAL ANSWER

2.10280373831776 ≈ 2.102804 Meter <-- Top Width

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 5 Momentum in Open-Channel Flow-Specific Force Calculators

Vertical Depth of Centroid of Area given Specific Force

Go Distance from Centroidal = (Specific Force in OCF-(Discharge of Channel*Discharge of Channel/(Cross-Sectional Area of Channel*[g])))/Cross-Sectional Area of Channel

Specific Force

Go Specific Force in OCF = (Discharge of Channel*Discharge of Channel/(Cross-Sectional Area of Channel*[g]))+Cross-Sectional Area of Channel*Distance from Centroidal

Vertical Depth of Centroid of Area given Specific Force with Top Width

Go Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel

Specific Force given Top Width

Go Specific Force in OCF = ((Cross-Sectional Area of Channel^2)/Top Width)+Cross-Sectional Area of Channel*Distance from Centroidal

Top Width given Specific Force

Go Top Width = (Cross-Sectional Area of Channel^2)/(Specific Force in OCF-Cross-Sectional Area of Channel*Distance from Centroidal)

Top Width given Specific Force Formula

Top Width = (Cross-Sectional Area of Channel^2)/(Specific Force in OCF-Cross-Sectional Area of Channel*Distance from Centroidal)
T = (A_cs^2)/(F-A_cs*Y_t)

What is Specific Force?

Specific force is defined as the non-gravitational force per unit mass. Specific force (also called g-force and mass-specific force) is measured in meters/second² (m·s−2) which is the units for acceleration. Thus, specific force is not actually a force, but a type of acceleration.

How to Calculate Top Width given Specific Force?

Top Width given Specific Force calculator uses Top Width = (Cross-Sectional Area of Channel^2)/(Specific Force in OCF-Cross-Sectional Area of Channel*Distance from Centroidal) to calculate the Top Width, The Top Width given Specific Force is defined as the length of top side in channel section at any point in open channel flow. Top Width is denoted by T symbol.

How to calculate Top Width given Specific Force using this online calculator? To use this online calculator for Top Width given Specific Force, enter Cross-Sectional Area of Channel (A_cs), Specific Force in OCF (F) & Distance from Centroidal (Y_t) and hit the calculate button. Here is how the Top Width given Specific Force calculation can be explained with given input values -> 0.033869 = (15^2)/(410-15*20.2).

FAQ

What is Top Width given Specific Force?

The Top Width given Specific Force is defined as the length of top side in channel section at any point in open channel flow and is represented as T = (A_cs^2)/(F-A_cs*Y_t) or Top Width = (Cross-Sectional Area of Channel^2)/(Specific Force in OCF-Cross-Sectional Area of Channel*Distance from Centroidal). Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Specific Force in OCF (open channel) is dependent on discharge and cross sectional area & Distance from Centroidal is the average distance between all points and the central point.

How to calculate Top Width given Specific Force?

The Top Width given Specific Force is defined as the length of top side in channel section at any point in open channel flow is calculated using Top Width = (Cross-Sectional Area of Channel^2)/(Specific Force in OCF-Cross-Sectional Area of Channel*Distance from Centroidal). To calculate Top Width given Specific Force, you need Cross-Sectional Area of Channel (A_cs), Specific Force in OCF (F) & Distance from Centroidal (Y_t). With our tool, you need to enter the respective value for Cross-Sectional Area of Channel, Specific Force in OCF & Distance from Centroidal 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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