Discharge at Initial Time in Alternative Form of Exponential Decay Calculator

✖Discharge at Time t is the volumetric flow rate of a stream, which volume of water flowing per rate of time at any time t.ⓘ Discharge at Time t [Q_t]			+10% -10%
✖Constant 'a' for Discharge in Exponential Decay. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.ⓘ Constant 'a' for Discharge in Exponential Decay [a]			+10% -10%
✖Time is the continued sequence of existence and events that occurs in an irreversible succession from the past to the present and future.ⓘ Time [t]			+10% -10%

✖Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.ⓘ Discharge at Initial Time in Alternative Form of Exponential Decay [Q₀]

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Discharge at Initial Time in Alternative Form of Exponential Decay Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge at Time t=0 = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time)
Q₀ = Q_t/exp(-a*t)
This formula uses 1 Functions, 4 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Discharge at Time t=0 - (Measured in Cubic Meter per Second) - Discharge at Time t=0 is the rate of flow of a liquid that moves over a designated point over a fixed period.
Discharge at Time t - (Measured in Cubic Meter per Second) - Discharge at Time t is the volumetric flow rate of a stream, which volume of water flowing per rate of time at any time t.
Constant 'a' for Discharge in Exponential Decay - Constant 'a' for Discharge in Exponential Decay. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.
Time - (Measured in Second) - Time is the continued sequence of existence and events that occurs in an irreversible succession from the past to the present and future.

STEP 1: Convert Input(s) to Base Unit

Discharge at Time t: 1.4162 Cubic Meter per Second --> 1.4162 Cubic Meter per Second No Conversion Required
Constant 'a' for Discharge in Exponential Decay: 1.782 --> No Conversion Required
Time: 2 Second --> 2 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q₀ = Q_t/exp(-a*t) --> 1.4162/exp(-1.782*2)

Evaluating ... ...

Q₀ = 49.9977111927575

STEP 3: Convert Result to Output's Unit

49.9977111927575 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

49.9977111927575 ≈ 49.99771 Cubic Meter per Second <-- Discharge at Time t=0

(Calculation completed in 00.004 seconds)

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Discharge at Initial Time in Alternative Form of Exponential Decay

LaTeX Go Discharge at Time t=0 = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time)

Discharge in Alternative Form of Exponential Decay

LaTeX Go Discharge at Time t = Discharge at Time t=0*exp(-Constant 'a' for Discharge in Exponential Decay*Time)

Discharge at Initial Time

LaTeX Go Discharge at Time t=0 = Discharge at Time t/(Recession Constant^Time)

Discharge concerning Recession Constant

LaTeX Go Discharge at Time t = Discharge at Time t=0*Recession Constant^Time

Discharge at Initial Time in Alternative Form of Exponential Decay Formula

LaTeX Go

Discharge at Time t=0 = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time)
Q₀ = Q_t/exp(-a*t)

What is Baseflow recession?

A Recession curve of streamflow so adjusted that the slope of the curve represents the runoff depletion rate of the groundwater. A curve is formed by the observed hydrograph during prolonged periods of no precipitation.

How to Calculate Discharge at Initial Time in Alternative Form of Exponential Decay?

Discharge at Initial Time in Alternative Form of Exponential Decay calculator uses Discharge at Time t = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time) to calculate the Discharge at Time t=0, The Discharge at Initial Time in Alternative Form of Exponential Decay formula is defined as the initial fluid flow expressed in terms of Exponential Decay. Discharge at Time t=0 is denoted by Q₀ symbol.

How to calculate Discharge at Initial Time in Alternative Form of Exponential Decay using this online calculator? To use this online calculator for Discharge at Initial Time in Alternative Form of Exponential Decay, enter Discharge at Time t (Q_t), Constant 'a' for Discharge in Exponential Decay (a) & Time (t) and hit the calculate button. Here is how the Discharge at Initial Time in Alternative Form of Exponential Decay calculation can be explained with given input values -> 3.849631 = 1.4162/exp(-1.782*2).

FAQ

What is Discharge at Initial Time in Alternative Form of Exponential Decay?

The Discharge at Initial Time in Alternative Form of Exponential Decay formula is defined as the initial fluid flow expressed in terms of Exponential Decay and is represented as Q₀ = Q_t/exp(-a*t) or Discharge at Time t = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time). Discharge at Time t is the volumetric flow rate of a stream, which volume of water flowing per rate of time at any time t, Constant 'a' for Discharge in Exponential Decay. A quantity is subject to exponential decay if it decreases at a rate proportional to its current value & Time is the continued sequence of existence and events that occurs in an irreversible succession from the past to the present and future.

How to calculate Discharge at Initial Time in Alternative Form of Exponential Decay?

The Discharge at Initial Time in Alternative Form of Exponential Decay formula is defined as the initial fluid flow expressed in terms of Exponential Decay is calculated using Discharge at Time t = Discharge at Time t/exp(-Constant 'a' for Discharge in Exponential Decay*Time). To calculate Discharge at Initial Time in Alternative Form of Exponential Decay, you need Discharge at Time t (Q_t), Constant 'a' for Discharge in Exponential Decay (a) & Time (t). With our tool, you need to enter the respective value for Discharge at Time t, Constant 'a' for Discharge in Exponential Decay & Time 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 Discharge at Time t=0?

In this formula, Discharge at Time t=0 uses Discharge at Time t, Constant 'a' for Discharge in Exponential Decay & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Discharge at Time t=0 = Discharge at Time t/(Recession Constant^Time)

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