Precipitation using Runoff from Exponential Relationship Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rainfall = (Runoff/Coefficient β)^(1/Coefficient m)
P = (R/β)^(1/m)
This formula uses 4 Variables
Variables Used
Rainfall - (Measured in Centimeter) - Rainfall is measured here is the annual rainfall in a particular year.
Runoff - (Measured in Centimeter) - Runoff is usually measured is either seasonal measured or annual measured.
Coefficient β - Coefficient β in Logarithmic Transformation reduces or removes the skewness of our original data.
Coefficient m - Coefficient m in Logarithmic Transformation which reduces or removes the skewness of our original data.
STEP 1: Convert Input(s) to Base Unit
Runoff: 15 Centimeter --> 15 Centimeter No Conversion Required
Coefficient β: 4 --> No Conversion Required
Coefficient m: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (R/β)^(1/m) --> (15/4)^(1/0.3)
Evaluating ... ...
P = 81.9289820905803
STEP 3: Convert Result to Output's Unit
0.819289820905803 Meter -->81.9289820905803 Centimeter (Check conversion here)
FINAL ANSWER
81.9289820905803 81.92898 Centimeter <-- Rainfall
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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9 Rainfall-Runoff Correlation Calculators

Annual Precipitation in (i-2)th year given Antecedent Precipitation
Go Precipitation in (i-2)th Year = (Antecedent Precipitation Index- Coefficient 'a'*Precipitation in (i)th Year-Coefficient 'b'*Precipitation in (i-1)th Year)/Coefficient 'c'
Annual Precipitation in (i-1)th year given Antecedent Precipitation
Go Precipitation in (i-1)th Year = (Antecedent Precipitation Index-Coefficient 'a'*Precipitation in (i)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'b'
Annual Precipitation in i-th year given Antecedent Precipitation
Go Precipitation in (i)th Year = (Antecedent Precipitation Index-Coefficient 'b'*Precipitation in (i-1)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'a'
Antecedent Precipitation Index
Go Antecedent Precipitation Index = Coefficient 'a'*Precipitation in (i)th Year+Coefficient 'b'*Precipitation in (i-1)th Year+Coefficient 'c'*Precipitation in (i-2)th Year
Runoff Rainfall Regression by Logarithmic Transformation
Go Runoff = Coefficient m*exp(ln(Rainfall))+exp(ln(Coefficient β))
Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall
Go Rainfall = (Runoff-(Coefficient 'B' in Straight-line Regression))/Coefficient 'a'
Equation of Straight-line Regression between Runoff and Rainfall
Go Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression)
Precipitation using Runoff from Exponential Relationship
Go Rainfall = (Runoff/Coefficient β)^(1/Coefficient m)
Exponential Relationship for Larger Catchments
Go Runoff = Coefficient β*Rainfall^Coefficient m

Precipitation using Runoff from Exponential Relationship Formula

Rainfall = (Runoff/Coefficient β)^(1/Coefficient m)
P = (R/β)^(1/m)

What is Precipitation?

Precipitation is any product of the condensation of atmospheric water vapor that falls under gravitational pull from clouds. The main forms of precipitation include drizzling, rain, sleet, snow, ice pellets, graupel and hail.

What is Antecedent Moisture Condition?

Antecedent moisture condition is how wet or dry that soil storage sponge is when it starts to rain. If the soil storage sponge is already saturated before the storm hits, only a small percentage of the rainfall can be absorbed, meaning a large portion of the rainfall total will become runoff.

How to Calculate Precipitation using Runoff from Exponential Relationship?

Precipitation using Runoff from Exponential Relationship calculator uses Rainfall = (Runoff/Coefficient β)^(1/Coefficient m) to calculate the Rainfall, The Precipitation using Runoff from Exponential Relationship formula is defined as the amount of precipitation poured determined using an exponential relationship for larger catchments. Rainfall is denoted by P symbol.

How to calculate Precipitation using Runoff from Exponential Relationship using this online calculator? To use this online calculator for Precipitation using Runoff from Exponential Relationship, enter Runoff (R), Coefficient β (β) & Coefficient m (m) and hit the calculate button. Here is how the Precipitation using Runoff from Exponential Relationship calculation can be explained with given input values -> 8192.898 = (0.15/4)^(1/0.3).

FAQ

What is Precipitation using Runoff from Exponential Relationship?
The Precipitation using Runoff from Exponential Relationship formula is defined as the amount of precipitation poured determined using an exponential relationship for larger catchments and is represented as P = (R/β)^(1/m) or Rainfall = (Runoff/Coefficient β)^(1/Coefficient m). Runoff is usually measured is either seasonal measured or annual measured, Coefficient β in Logarithmic Transformation reduces or removes the skewness of our original data & Coefficient m in Logarithmic Transformation which reduces or removes the skewness of our original data.
How to calculate Precipitation using Runoff from Exponential Relationship?
The Precipitation using Runoff from Exponential Relationship formula is defined as the amount of precipitation poured determined using an exponential relationship for larger catchments is calculated using Rainfall = (Runoff/Coefficient β)^(1/Coefficient m). To calculate Precipitation using Runoff from Exponential Relationship, you need Runoff (R), Coefficient β (β) & Coefficient m (m). With our tool, you need to enter the respective value for Runoff, Coefficient β & Coefficient m 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 Rainfall?
In this formula, Rainfall uses Runoff, Coefficient β & Coefficient m. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Rainfall = (Runoff-(Coefficient 'B' in Straight-line Regression))/Coefficient 'a'
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