Height of Aperture given Constant for Rectangular Shaped Aperture Weir Calculator

✖Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture.ⓘ Constant for Small Rectangular Aperture [K_Flow]			+10% -10%
✖Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Width of Small Rectangular Aperture is the measurement or extent of something from side to side.ⓘ Width of Small Rectangular Aperture [w_ap]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Height of Small Rectangular Aperture is the distance between the lowest and highest points of Small Rectangular Aperture.ⓘ Height of Aperture given Constant for Rectangular Shaped Aperture Weir [h_ap]

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Formula

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Height of Aperture given Constant for Rectangular Shaped Aperture Weir

Formula

`"h"_{"ap"} = ("K"_{"Flow"}/("C"_{"d"}*"w"_{"ap"}))^2*(1/(2*"g"))`

Example

`"0.697683m"= ("7.81"/("0.66"*"3.2m"))^2*(1/(2*"9.8m/s²"))`

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Height of Aperture given Constant for Rectangular Shaped Aperture Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Small Rectangular Aperture = (Constant for Small Rectangular Aperture/(Coefficient of Discharge*Width of Small Rectangular Aperture))^2*(1/(2*Acceleration due to Gravity))
h_ap = (K_Flow/(C_d*w_ap))^2*(1/(2*g))
This formula uses 5 Variables

Variables Used

Height of Small Rectangular Aperture - (Measured in Meter) - Height of Small Rectangular Aperture is the distance between the lowest and highest points of Small Rectangular Aperture.
Constant for Small Rectangular Aperture - Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture.
Coefficient of Discharge - Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.
Width of Small Rectangular Aperture - (Measured in Meter) - Width of Small Rectangular Aperture is the measurement or extent of something from side to side.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

STEP 1: Convert Input(s) to Base Unit

Constant for Small Rectangular Aperture: 7.81 --> No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required
Width of Small Rectangular Aperture: 3.2 Meter --> 3.2 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_ap = (K_Flow/(C_d*w_ap))^2*(1/(2*g)) --> (7.81/(0.66*3.2))^2*(1/(2*9.8))

Evaluating ... ...

h_ap = 0.697683044571995

STEP 3: Convert Result to Output's Unit

0.697683044571995 Meter --> No Conversion Required

FINAL ANSWER

0.697683044571995 ≈ 0.697683 Meter <-- Height of Small Rectangular Aperture

(Calculation completed in 00.004 seconds)

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< 8 Proportional Weir or Sutro Weir Calculators

Height of Aperture given Constant for Rectangular Shaped Aperture Weir

Go Height of Small Rectangular Aperture = (Constant for Small Rectangular Aperture/(Coefficient of Discharge*Width of Small Rectangular Aperture))^2*(1/(2*Acceleration due to Gravity))

Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir

Go Coefficient of Discharge = Constant for Small Rectangular Aperture/(Width of Small Rectangular Aperture*(2*Acceleration due to Gravity*Height of Small Rectangular Aperture)^(1/2))

Width of Aperture given Constant for Rectangular Shaped Aperture Weir

Go Width of Small Rectangular Aperture = Constant for Small Rectangular Aperture/(Coefficient of Discharge*(2*Acceleration due to Gravity*Height of Small Rectangular Aperture)^(1/2))

Constant for Small Rectangular Shaped Aperture Weir

Go Constant for Small Rectangular Aperture = Coefficient of Discharge*Width of Small Rectangular Aperture*(2*Acceleration due to Gravity*Height of Small Rectangular Aperture)^(1/2)

Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir

Go Height of Small Rectangular Aperture = -((Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)-Height of Water above Crest of Weir)*3

Constant given Discharge through Small Rectangular Shaped Aperture Weir

Go Constant for Small Rectangular Aperture = Discharge for Small Rectangular Aperture/(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3))

Head given Discharge through Small Rectangular Shaped Aperture Weir

Go Height of Water above Crest of Weir = (Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)+(Height of Small Rectangular Aperture/3)

Discharge through Small Rectangular Shaped Aperture Weir

Go Discharge for Small Rectangular Aperture = Constant for Small Rectangular Aperture*(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3))

Height of Aperture given Constant for Rectangular Shaped Aperture Weir Formula

What is meant by Coefficient of discharge?

Coefficient of discharge is stated as the ratio between the actual flow discharge and theoretical flow discharge.

What is a rectangular weir?

A sharp crested, rectangular weir is simply a flat plate obstruction in an open channel flow path, with a straight, level opening to allow water flow over the weir, as shown in the pictures and diagrams in the rest of this article. It is used to meter flow of water over the weir (and through the open channel) by measuring the head of water over the weir crest.
Uses:
* Able to measure higher flows than v-notch weirs.
* Discharge equation more complex than most other weir types.
* Widely used to measure high flow rates in channels suited to weirs.

How to Calculate Height of Aperture given Constant for Rectangular Shaped Aperture Weir?

Height of Aperture given Constant for Rectangular Shaped Aperture Weir calculator uses Height of Small Rectangular Aperture = (Constant for Small Rectangular Aperture/(Coefficient of Discharge*Width of Small Rectangular Aperture))^2*(1/(2*Acceleration due to Gravity)) to calculate the Height of Small Rectangular Aperture, Height of aperture given constant for rectangular shaped aperture weir can be represented as measurement of height of weir. Height of Small Rectangular Aperture is denoted by h_ap symbol.

How to calculate Height of Aperture given Constant for Rectangular Shaped Aperture Weir using this online calculator? To use this online calculator for Height of Aperture given Constant for Rectangular Shaped Aperture Weir, enter Constant for Small Rectangular Aperture (K_Flow), Coefficient of Discharge (C_d), Width of Small Rectangular Aperture (w_ap) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Height of Aperture given Constant for Rectangular Shaped Aperture Weir calculation can be explained with given input values -> 0.697683 = (7.81/(0.66*3.2))^2*(1/(2*9.8)).

FAQ

What is Height of Aperture given Constant for Rectangular Shaped Aperture Weir?

Height of aperture given constant for rectangular shaped aperture weir can be represented as measurement of height of weir and is represented as h_ap = (K_Flow/(C_d*w_ap))^2*(1/(2*g)) or Height of Small Rectangular Aperture = (Constant for Small Rectangular Aperture/(Coefficient of Discharge*Width of Small Rectangular Aperture))^2*(1/(2*Acceleration due to Gravity)). Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture, Coefficient of Discharge is ratio of Actual discharge to theoretical discharge, Width of Small Rectangular Aperture is the measurement or extent of something from side to side & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Height of Aperture given Constant for Rectangular Shaped Aperture Weir?

Height of aperture given constant for rectangular shaped aperture weir can be represented as measurement of height of weir is calculated using Height of Small Rectangular Aperture = (Constant for Small Rectangular Aperture/(Coefficient of Discharge*Width of Small Rectangular Aperture))^2*(1/(2*Acceleration due to Gravity)). To calculate Height of Aperture given Constant for Rectangular Shaped Aperture Weir, you need Constant for Small Rectangular Aperture (K_Flow), Coefficient of Discharge (C_d), Width of Small Rectangular Aperture (w_ap) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Constant for Small Rectangular Aperture, Coefficient of Discharge, Width of Small Rectangular Aperture & Acceleration due to Gravity 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 Height of Small Rectangular Aperture?

In this formula, Height of Small Rectangular Aperture uses Constant for Small Rectangular Aperture, Coefficient of Discharge, Width of Small Rectangular Aperture & Acceleration due to Gravity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Height of Small Rectangular Aperture = -((Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)-Height of Water above Crest of Weir)*3

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