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Optimum number of rain gauge stations Formula

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Optimum Number of Rain Gauge Stations corresponding to an assigned percentage of error in the estimation of mean areal rainfall. Check FAQs

N = {(\frac{C v}{E})}^{2}

N - Optimum Number of Rain Gauge Stations?C_v - Coefficient of Variation of Rainfall?E - Allowable Degree of Error?

Optimum number of rain gauge stations Example

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Here is how the Optimum number of rain gauge stations equation looks like with Values.

Here is how the Optimum number of rain gauge stations equation looks like with Units.

Here is how the Optimum number of rain gauge stations equation looks like.

2.7778 = {(\frac{10}{6})}^{2}

2.7778 = {(\frac{10}{6})}^{2}

2.7778 = {(\frac{10}{6})}^{2}

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Optimum number of rain gauge stations Solution

Follow our step by step solution on how to calculate Optimum number of rain gauge stations?

FIRST Step Consider the formula

N = {(\frac{C v}{E})}^{2}

Next Step Substitute values of Variables

∴

N = {(\frac{10}{6})}^{2}

Next Step Prepare to Evaluate

∴

N = {(\frac{10}{6})}^{2}

Next Step Evaluate

∴

N = 2.77777777777778

LAST Step Rounding Answer

∴

N = 2.7778

Optimum number of rain gauge stations Formula Elements

Variables

Optimum Number of Rain Gauge Stations

Optimum Number of Rain Gauge Stations corresponding to an assigned percentage of error in the estimation of mean areal rainfall.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Optimum Number of Rain Gauge Stations

Coefficient of Variation of Rainfall

Coefficient of Variation of Rainfall at n stations existing in percentage %.

Symbol: C_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Variation of Rainfall

Allowable Degree of Error

Allowable Degree of Error refers to the maximum error that can be tolerated in measurements without significantly affecting the accuracy and reliability of the results.

Symbol: E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Allowable Degree of Error

How to Evaluate Optimum number of rain gauge stations?

Optimum number of rain gauge stations evaluator uses Optimum Number of Rain Gauge Stations = (Coefficient of Variation of Rainfall/Allowable Degree of Error)^2 to evaluate the Optimum Number of Rain Gauge Stations, The Optimum Number of Rain Gauge Stations formula is defined as the parameter coefficient of variation of the rainfall values at the existing n stations (%) and allowable degree of error E in the estimate of mean rainfall. Optimum Number of Rain Gauge Stations is denoted by N symbol.

How to evaluate Optimum number of rain gauge stations using this online evaluator? To use this online evaluator for Optimum number of rain gauge stations, enter Coefficient of Variation of Rainfall (C_v) & Allowable Degree of Error (E) and hit the calculate button.

FAQs on Optimum number of rain gauge stations

What is the formula to find Optimum number of rain gauge stations?

The formula of Optimum number of rain gauge stations is expressed as Optimum Number of Rain Gauge Stations = (Coefficient of Variation of Rainfall/Allowable Degree of Error)^2. Here is an example- 2.777778 = (10/6)^2.

How to calculate Optimum number of rain gauge stations?

With Coefficient of Variation of Rainfall (C_v) & Allowable Degree of Error (E) we can find Optimum number of rain gauge stations using the formula - Optimum Number of Rain Gauge Stations = (Coefficient of Variation of Rainfall/Allowable Degree of Error)^2.

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Optimum number of rain gauge stations Formula

Optimum number of rain gauge stations Example

Optimum number of rain gauge stations Solution

Optimum number of rain gauge stations Formula Elements

How to Evaluate Optimum number of rain gauge stations?

FAQs on Optimum number of rain gauge stations

Variable Name