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Time Required to Empty Reservoir Formula

GoTime Required to Empty Tank with Triangular Weir or Notch Formula

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Total Time Taken is the total time taken by the body to cover that space. Check FAQs

t a = (\frac{3 \cdot A}{C d \cdot L w \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

t_a - Total Time Taken?A - Area of Weir?C_d - Coefficient of Discharge?L_w - Length of Weir?H_f - Final Height of Liquid?H_i - Initial Height of Liquid?[g] - Gravitational acceleration on Earth?

Time Required to Empty Reservoir Example

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Here is how the Time Required to Empty Reservoir equation looks like with Values.

Here is how the Time Required to Empty Reservoir equation looks like with Units.

Here is how the Time Required to Empty Reservoir equation looks like.

3.9832 = (\frac{3 \cdot 50}{0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066}}) \cdot (\frac{1}{\sqrt{0.17}} - \frac{1}{\sqrt{186.1}})

3.9832s = (\frac{3 \cdot 50m²}{0.8 \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s²}}) \cdot (\frac{1}{\sqrt{0.17m}} - \frac{1}{\sqrt{186.1m}})

3.9832 = (\frac{3 \cdot 50}{0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066}}) \cdot (\frac{1}{\sqrt{0.17}} - \frac{1}{\sqrt{186.1}})

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Time Required to Empty Reservoir Solution

Follow our step by step solution on how to calculate Time Required to Empty Reservoir?

FIRST Step Consider the formula

t a = (\frac{3 \cdot A}{C d \cdot L w \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

Next Step Substitute values of Variables

∴

t a = (\frac{3 \cdot 50m²}{0.8 \cdot 25m \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{\sqrt{0.17m}} - \frac{1}{\sqrt{186.1m}})

Next Step Substitute values of Constants

∴

t a = (\frac{3 \cdot 50m²}{0.8 \cdot 25m \cdot \sqrt{2 \cdot 9.8066m/s²}}) \cdot (\frac{1}{\sqrt{0.17m}} - \frac{1}{\sqrt{186.1m}})

Next Step Prepare to Evaluate

∴

t a = (\frac{3 \cdot 50}{0.8 \cdot 25 \cdot \sqrt{2 \cdot 9.8066}}) \cdot (\frac{1}{\sqrt{0.17}} - \frac{1}{\sqrt{186.1}})

Next Step Evaluate

∴

t a = 3.98320739772983s

LAST Step Rounding Answer

∴

t a = 3.9832s

Time Required to Empty Reservoir Formula Elements

Variables

Constants

Functions

Total Time Taken

Total Time Taken is the total time taken by the body to cover that space.

Symbol: t_a

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Total Time Taken

Area of Weir

Area of Weir is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Weir

Coefficient of Discharge

The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Discharge

Length of Weir

The Length of Weir is the of the base of weir through which discharge is taking place.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Weir

Final Height of Liquid

The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Final Height of Liquid

Initial Height of Liquid

The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Height of Liquid

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Total Time Taken

Go Time Required to Empty Tank with Triangular Weir or Notch

t a = (\frac{5 \cdot A}{4 \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{{H f}^{\frac{3}{2}}} - \frac{1}{{H i}^{\frac{3}{2}}})

Other formulas in Discharge category

Go Head of Liquid at Crest

H = {(\frac{Q th}{\frac{2}{3} \cdot C d \cdot L w \cdot \sqrt{2 \cdot [g]}})}^{\frac{2}{3}}

Go Head of Liquid above V-notch

H = {(\frac{Q th}{\frac{8}{15} \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]}})}^{0.4}

Go Discharge over Rectangle Notch or Weir

Q th = \frac{2}{3} \cdot C d \cdot L w \cdot \sqrt{2 \cdot [g]} \cdot H^{\frac{3}{2}}

Go Discharge over Triangular Notch or Weir

Q th = \frac{8}{15} \cdot C d \cdot \tan (\frac{∠A}{2}) \cdot \sqrt{2 \cdot [g]} \cdot H^{\frac{5}{2}}

How to Evaluate Time Required to Empty Reservoir?

Time Required to Empty Reservoir evaluator uses Total Time Taken = ((3*Area of Weir)/(Coefficient of Discharge*Length of Weir*sqrt(2*[g])))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)) to evaluate the Total Time Taken, Time Required to Empty Reservoir depends on several factors, including the volume of the reservoir and the flow rate at which the liquid is being drained. Total Time Taken is denoted by t_a symbol.

How to evaluate Time Required to Empty Reservoir using this online evaluator? To use this online evaluator for Time Required to Empty Reservoir, enter Area of Weir (A), Coefficient of Discharge (C_d), Length of Weir (L_w), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) and hit the calculate button.

FAQs on Time Required to Empty Reservoir

What is the formula to find Time Required to Empty Reservoir?

The formula of Time Required to Empty Reservoir is expressed as Total Time Taken = ((3*Area of Weir)/(Coefficient of Discharge*Length of Weir*sqrt(2*[g])))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)). Here is an example- 3.983207 = ((3*50)/(0.8*25*sqrt(2*[g])))*(1/sqrt(0.17)-1/sqrt(186.1)).

How to calculate Time Required to Empty Reservoir?

With Area of Weir (A), Coefficient of Discharge (C_d), Length of Weir (L_w), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) we can find Time Required to Empty Reservoir using the formula - Total Time Taken = ((3*Area of Weir)/(Coefficient of Discharge*Length of Weir*sqrt(2*[g])))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Total Time Taken?

Here are the different ways to Calculate Total Time Taken-

Total Time Taken=((5*Area of Weir)/(4*Coefficient of Discharge*tan(Angle A/2)*sqrt(2*[g])))*(1/(Final Height of Liquid^(3/2))-1/(Initial Height of Liquid^(3/2)))

Can the Time Required to Empty Reservoir be negative?

Yes, the Time Required to Empty Reservoir, measured in Time can be negative.

Which unit is used to measure Time Required to Empty Reservoir?

Time Required to Empty Reservoir is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Required to Empty Reservoir can be measured.

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Time Required to Empty Reservoir Formula

​GoTime Required to Empty Tank with Triangular Weir or Notch Formula

Time Required to Empty Reservoir Example

Time Required to Empty Reservoir Solution

Time Required to Empty Reservoir Formula Elements

Other Formulas to find Total Time Taken

Other formulas in Discharge category

How to Evaluate Time Required to Empty Reservoir?

FAQs on Time Required to Empty Reservoir

Variable Name

GoTime Required to Empty Tank with Triangular Weir or Notch Formula