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Quantity of Water given Duration of Fire Formula

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The Quantity of Water is the amount of water required to extinguish a fire. It is the discharge in liters per minute. Check FAQs

Q w = \frac{4360 \cdot {(\frac{T}{31556952})}^{0.275}}{{((\frac{t d}{60}) + 12)}^{0.757}}

Q_w - Quantity of Water?T - Time Period?t_d - Time Duration?

Quantity of Water given Duration of Fire Example

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Here is how the Quantity of Water given Duration of Fire equation looks like with Values.

Here is how the Quantity of Water given Duration of Fire equation looks like with Units.

Here is how the Quantity of Water given Duration of Fire equation looks like.

759.2656 = \frac{4360 \cdot {(\frac{3}{31556952})}^{0.275}}{{((\frac{3}{60}) + 12)}^{0.757}}

759.2656L/min = \frac{4360 \cdot {(\frac{3Year}{31556952})}^{0.275}}{{((\frac{3min}{60}) + 12)}^{0.757}}

759.2656 = \frac{4360 \cdot {(\frac{3}{31556952})}^{0.275}}{{((\frac{3}{60}) + 12)}^{0.757}}

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Quantity of Water given Duration of Fire Solution

Follow our step by step solution on how to calculate Quantity of Water given Duration of Fire?

FIRST Step Consider the formula

Q w = \frac{4360 \cdot {(\frac{T}{31556952})}^{0.275}}{{((\frac{t d}{60}) + 12)}^{0.757}}

Next Step Substitute values of Variables

∴

Q w = \frac{4360 \cdot {(\frac{3Year}{31556952})}^{0.275}}{{((\frac{3min}{60}) + 12)}^{0.757}}

Next Step Convert Units

∴

Q w = \frac{4360 \cdot {(\frac{9.5E+7s}{31556952})}^{0.275}}{{((\frac{180s}{60}) + 12)}^{0.757}}

Next Step Prepare to Evaluate

∴

Q w = \frac{4360 \cdot {(\frac{9.5E+7}{31556952})}^{0.275}}{{((\frac{180}{60}) + 12)}^{0.757}}

Next Step Evaluate

∴

Q w = 0.0126544274662446m³/s

Next Step Convert to Output's Unit

∴

Q w = 759.265647974674L/min

LAST Step Rounding Answer

∴

Q w = 759.2656L/min

Quantity of Water given Duration of Fire Formula Elements

Variables

Quantity of Water

The Quantity of Water is the amount of water required to extinguish a fire. It is the discharge in liters per minute.

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: L/min

Note: Value can be positive or negative.

Formulas to find Quantity of Water

Time Period

Time Period is the time period of occurrence of fire.

Symbol: T

Measurement: TimeUnit: Year

Note: Value should be greater than 0.

Formulas to find Time Period

Time Duration

Time Duration is the time duration of fire.

Symbol: t_d

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Time Duration

Other formulas in Fire Demand category

Go Quantity of Water by Kuichling's Formula

Q = 3182 \cdot \sqrt{P}

Go Population by Kuichling's Formula given Quantity of Water

P = {(\frac{Q}{3182})}^{2}

Go Quantity of Water by Buston's Formula

Q = (5663 \cdot \sqrt{P})

Go Population by Buston's Formula given Quantity of Water

P = {(\frac{Q}{5663})}^{2}

How to Evaluate Quantity of Water given Duration of Fire?

Quantity of Water given Duration of Fire evaluator uses Quantity of Water = (4360*(Time Period/31556952)^(0.275))/(((Time Duration/60)+12)^(0.757)) to evaluate 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 evaluate Quantity of Water given Duration of Fire using this online evaluator? To use this online evaluator for Quantity of Water given Duration of Fire, enter Time Period (T) & Time Duration (t_d) and hit the calculate button.

FAQs on Quantity of Water given Duration of Fire

What is the formula to find Quantity of Water given Duration of Fire?

The formula of Quantity of Water given Duration of Fire is expressed as Quantity of Water = (4360*(Time Period/31556952)^(0.275))/(((Time Duration/60)+12)^(0.757)). Here is an example- 4.6E+7 = (4360*(94670856/31556952)^(0.275))/(((180/60)+12)^(0.757)).

How to calculate Quantity of Water given Duration of Fire?

With Time Period (T) & Time Duration (t_d) we can find Quantity of Water given Duration of Fire using the formula - Quantity of Water = (4360*(Time Period/31556952)^(0.275))/(((Time Duration/60)+12)^(0.757)).

Can the Quantity of Water given Duration of Fire be negative?

Yes, the Quantity of Water given Duration of Fire, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Quantity of Water given Duration of Fire?

Quantity of Water given Duration of Fire is usually measured using the Liter per minute[L/min] for Volumetric Flow Rate. Cubic Meter per Second[L/min], Cubic Meter per Day[L/min], Cubic Meter per Hour[L/min] are the few other units in which Quantity of Water given Duration of Fire can be measured.

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