Quantity of Water given Duration of Fire Calculator

✖Time period is the time period of occurrence of fire .ⓘ Time period [T]			+10% -10%
✖Time Duration is the time duration of fire.ⓘ Time Duration [t_d]			+10% -10%

✖The Quantity of Water is the amount of water required to extinguish a fire. It is the discharge in liters per minute.ⓘ Quantity of Water given Duration of Fire [Q_w]

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Formula

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Quantity of Water given Duration of Fire

Formula

`"Q"_{"w"} = (4360*("T"/31556952)^(0.275))/((("t"_{"d"}/60)+12)^(0.757))`

Example

`"759.2656L/min"=(4360*("3Year"/31556952)^(0.275))/((("3min"/60)+12)^(0.757))`

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Quantity of Water given Duration of Fire Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quantity of Water = (4360*(Time period/31556952)^(0.275))/(((Time Duration/60)+12)^(0.757))
Q_w = (4360*(T/31556952)^(0.275))/(((t_d/60)+12)^(0.757))
This formula uses 3 Variables

Variables Used

Quantity of Water - (Measured in Liter per minute) - The Quantity of Water is the amount of water required to extinguish a fire. It is the discharge in liters per minute.
Time period - (Measured in Second) - Time period is the time period of occurrence of fire .
Time Duration - (Measured in Second) - Time Duration is the time duration of fire.

STEP 1: Convert Input(s) to Base Unit

Time period: 3 Year --> 94670856 Second (Check conversion here)
Time Duration: 3 Minute --> 180 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_w = (4360*(T/31556952)^(0.275))/(((t_d/60)+12)^(0.757)) --> (4360*(94670856/31556952)^(0.275))/(((180/60)+12)^(0.757))

Evaluating ... ...

Q_w = 759.265647974674

STEP 3: Convert Result to Output's Unit

0.0126544274662446 Cubic Meter per Second -->759.265647974674 Liter per minute (Check conversion here)

FINAL ANSWER

759.265647974674 ≈ 759.2656 Liter per minute <-- Quantity of Water

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 11 Fire Demand Calculators

Quantity of Water by National Board of Fire Underwriters

Go Quantity of Water in Liters Per Minute = 4637*sqrt(Population in thousands)*(1-(0.01*sqrt(Population in thousands)))

Period of Occurrence of Fire given Quantity of Water

Go Time period = ((Quantity of Water*(((Time Duration/60)+12)^(0.757))/4360)^(1/0.275))*31556952

Quantity of Water given Duration of Fire

Go Quantity of Water = (4360*(Time period/31556952)^(0.275))/(((Time Duration/60)+12)^(0.757))

Quantity of Water by Buston's Formula

Go Quantity of Water in Liters Per Minute = (5663*sqrt(Population in thousands))

Quantity of Water by Kuichling's Formula

Go Quantity of Water in Liters Per Minute = 3182*sqrt(Population in thousands)

Number of Simultaneous Fire Stream

Go Number of Fire streams = 2.8*sqrt(Population in thousands)

Population by Freeman's Formula given Quantity of Water

Go Population in thousands = 5*((Quantity of Water in Liters Per Minute/1136)-10)

Quantity of Water by Freeman's Formula

Go Quantity of Water in Liters Per Minute = 1136*((Population in thousands/5)+10)

Population by Kuichling's Formula given Quantity of Water

Go Population in thousands = (Quantity of Water in Liters Per Minute/3182)^2

Population by Buston's Formula given Quantity of Water

Go Population in thousands = (Quantity of Water in Liters Per Minute/5663)^2

Population given Number of Simultaneous Fire Stream

Go Population in thousands = (Number of Fire streams/2.8)^2

Quantity of Water given Duration of Fire Formula

Quantity of Water = (4360*(Time period/31556952)^(0.275))/(((Time Duration/60)+12)^(0.757))
Q_w = (4360*(T/31556952)^(0.275))/(((t_d/60)+12)^(0.757))

What is Discharge ?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Quantity of Water given Duration of Fire?

Quantity of Water given Duration of Fire calculator uses Quantity of Water = (4360*(Time period/31556952)^(0.275))/(((Time Duration/60)+12)^(0.757)) to calculate the Quantity of Water, The Quantity of Water given Duration of Fire formula is defined as it calculates the value of a quantity of water when we have prior information of other parameters used. Quantity of Water is denoted by Q_w symbol.

How to calculate Quantity of Water given Duration of Fire using this online calculator? To use this online calculator for Quantity of Water given Duration of Fire, enter Time period (T) & Time Duration (t_d) and hit the calculate button. Here is how the Quantity of Water given Duration of Fire calculation can be explained with given input values -> 4.6E+7 = (4360*(94670856/31556952)^(0.275))/(((180/60)+12)^(0.757)).

FAQ

What is Quantity of Water given Duration of Fire?

The Quantity of Water given Duration of Fire formula is defined as it calculates the value of a quantity of water when we have prior information of other parameters used and is represented as Q_w = (4360*(T/31556952)^(0.275))/(((t_d/60)+12)^(0.757)) or Quantity of Water = (4360*(Time period/31556952)^(0.275))/(((Time Duration/60)+12)^(0.757)). Time period is the time period of occurrence of fire & Time Duration is the time duration of fire.

How to calculate Quantity of Water given Duration of Fire?

The Quantity of Water given Duration of Fire formula is defined as it calculates the value of a quantity of water when we have prior information of other parameters used is calculated using Quantity of Water = (4360*(Time period/31556952)^(0.275))/(((Time Duration/60)+12)^(0.757)). To calculate Quantity of Water given Duration of Fire, you need Time period (T) & Time Duration (t_d). With our tool, you need to enter the respective value for Time period & Time Duration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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