Length of Crest of Weir or Notch Calculator

✖Area of Weir is the amount of two-dimensional space taken up by an object.ⓘ Area of Weir [A]			+10% -10%
✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Total Time Taken is the total time taken by the body to cover that space.ⓘ Total Time Taken [t_a]			+10% -10%
✖The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Final Height of Liquid [H_f]			+10% -10%
✖The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Initial Height of Liquid [H_i]			+10% -10%

✖The Length of Weir is the of the base of weir through which discharge is taking place.ⓘ Length of Crest of Weir or Notch [L_w]

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Length of Crest of Weir or Notch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Weir = (3*Area of Weir)/(Coefficient of Discharge*Total Time Taken*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))
L_w = (3*A)/(C_d*t_a*sqrt(2*[g]))*(1/sqrt(H_f)-1/sqrt(H_i))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

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., sqrt(Number)

Variables Used

Length of Weir - (Measured in Meter) - The Length of Weir is the of the base of weir through which discharge is taking place.
Area of Weir - (Measured in Square Meter) - Area of Weir is the amount of two-dimensional space taken up by an object.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
Final Height of Liquid - (Measured in Meter) - The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.
Initial Height of Liquid - (Measured in Meter) - The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

STEP 1: Convert Input(s) to Base Unit

Area of Weir: 50 Square Meter --> 50 Square Meter No Conversion Required
Coefficient of Discharge: 0.8 --> No Conversion Required
Total Time Taken: 82 Second --> 82 Second No Conversion Required
Final Height of Liquid: 0.17 Meter --> 0.17 Meter No Conversion Required
Initial Height of Liquid: 186.1 Meter --> 186.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = (3*A)/(C_d*t_a*sqrt(2*[g]))*(1/sqrt(H_f)-1/sqrt(H_i)) --> (3*50)/(0.8*82*sqrt(2*[g]))*(1/sqrt(0.17)-1/sqrt(186.1))

Evaluating ... ...

L_w = 1.21439249930787

STEP 3: Convert Result to Output's Unit

1.21439249930787 Meter --> No Conversion Required

FINAL ANSWER

1.21439249930787 ≈ 1.214392 Meter <-- Length of Weir

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Notches and Weirs » Mechanical » Geometric DImension » Length of Crest of Weir or Notch

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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< Geometric DImension Calculators

Length of Crest of Weir or Notch

LaTeX Go Length of Weir = (3*Area of Weir)/(Coefficient of Discharge*Total Time Taken*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))

Length of Weir or Notch for Velocity of Approach

LaTeX Go Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2)))

Length of Section for Discharge over Rectangle Notch or Weir

LaTeX Go Length of Weir = Theoretical Discharge/(2/3*Coefficient of Discharge*sqrt(2*[g])*Arc Length of Circle^(3/2))

Length of Weir or Notch without Velocity of Approach

LaTeX Go Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2))

Length of Crest of Weir or Notch Formula

LaTeX Go

What is a notch or weir?

A notch is generally meant to measure the flow of water from a tank. A weir is also a notch but it is made on a large scale. The weir is a notch cut in a dam to discharge the surplus quantity of water.

What is rectangular notch or weir?

The rectangular weir (notch) is a common device used to regulate and measure discharge in irrigation projects. The current research was based mainly on laboratory experiments studying the hydraulic characteristics of rectangular notches.

How to Calculate Length of Crest of Weir or Notch?

Length of Crest of Weir or Notch calculator uses Length of Weir = (3*Area of Weir)/(Coefficient of Discharge*Total Time Taken*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)) to calculate the Length of Weir, Length of Crest of Weir or Notch refers to the horizontal distance along the top edge of the weir or notch. It represents the span over which the liquid flows and is an important parameter for calculating the flow rate over the weir. Length of Weir is denoted by L_w symbol.

How to calculate Length of Crest of Weir or Notch using this online calculator? To use this online calculator for Length of Crest of Weir or Notch, enter Area of Weir (A), Coefficient of Discharge (C_d), Total Time Taken (t_a), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) and hit the calculate button. Here is how the Length of Crest of Weir or Notch calculation can be explained with given input values -> 1.214392 = (3*50)/(0.8*82*sqrt(2*[g]))*(1/sqrt(0.17)-1/sqrt(186.1)).

FAQ

What is Length of Crest of Weir or Notch?

Length of Crest of Weir or Notch refers to the horizontal distance along the top edge of the weir or notch. It represents the span over which the liquid flows and is an important parameter for calculating the flow rate over the weir and is represented as L_w = (3*A)/(C_d*t_a*sqrt(2*[g]))*(1/sqrt(H_f)-1/sqrt(H_i)) or Length of Weir = (3*Area of Weir)/(Coefficient of Discharge*Total Time Taken*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)). Area of Weir is the amount of two-dimensional space taken up by an object, The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge, Total Time Taken is the total time taken by the body to cover that space, The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom & The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

How to calculate Length of Crest of Weir or Notch?

Length of Crest of Weir or Notch refers to the horizontal distance along the top edge of the weir or notch. It represents the span over which the liquid flows and is an important parameter for calculating the flow rate over the weir is calculated using Length of Weir = (3*Area of Weir)/(Coefficient of Discharge*Total Time Taken*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)). To calculate Length of Crest of Weir or Notch, you need Area of Weir (A), Coefficient of Discharge (C_d), Total Time Taken (t_a), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i). With our tool, you need to enter the respective value for Area of Weir, Coefficient of Discharge, Total Time Taken, Final Height of Liquid & Initial Height of Liquid 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 Length of Weir?

In this formula, Length of Weir uses Area of Weir, Coefficient of Discharge, Total Time Taken, Final Height of Liquid & Initial Height of Liquid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Weir = Theoretical Discharge/(2/3*Coefficient of Discharge*sqrt(2*[g])*Arc Length of Circle^(3/2))
Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2)))
Length of Weir = Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2))

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