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Time Required to Empty Tank with Triangular Weir or Notch Formula

GoTime Required to Empty Reservoir 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{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}}})

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

Time Required to Empty Tank with Triangular Weir or Notch Example

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Here is how the Time Required to Empty Tank with Triangular Weir or Notch equation looks like with Values.

Here is how the Time Required to Empty Tank with Triangular Weir or Notch equation looks like with Units.

Here is how the Time Required to Empty Tank with Triangular Weir or Notch equation looks like.

86.6565 = (\frac{5 \cdot 50}{4 \cdot 0.8 \cdot \tan (\frac{142}{2}) \cdot \sqrt{2 \cdot 9.8066}}) \cdot (\frac{1}{{0.17}^{\frac{3}{2}}} - \frac{1}{{186.1}^{\frac{3}{2}}})

86.6565s = (\frac{5 \cdot 50m²}{4 \cdot 0.8 \cdot \tan (\frac{142°}{2}) \cdot \sqrt{2 \cdot 9.8066m/s²}}) \cdot (\frac{1}{{0.17m}^{\frac{3}{2}}} - \frac{1}{{186.1m}^{\frac{3}{2}}})

86.6565 = (\frac{5 \cdot 50}{4 \cdot 0.8 \cdot \tan (\frac{142}{2}) \cdot \sqrt{2 \cdot 9.8066}}) \cdot (\frac{1}{{0.17}^{\frac{3}{2}}} - \frac{1}{{186.1}^{\frac{3}{2}}})

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Time Required to Empty Tank with Triangular Weir or Notch Solution

Follow our step by step solution on how to calculate Time Required to Empty Tank with Triangular Weir or Notch?

FIRST Step Consider the formula

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}}})

Next Step Substitute values of Variables

∴

t a = (\frac{5 \cdot 50m²}{4 \cdot 0.8 \cdot \tan (\frac{142°}{2}) \cdot \sqrt{2 \cdot [g]}}) \cdot (\frac{1}{{0.17m}^{\frac{3}{2}}} - \frac{1}{{186.1m}^{\frac{3}{2}}})

Next Step Substitute values of Constants

∴

t a = (\frac{5 \cdot 50m²}{4 \cdot 0.8 \cdot \tan (\frac{142°}{2}) \cdot \sqrt{2 \cdot 9.8066m/s²}}) \cdot (\frac{1}{{0.17m}^{\frac{3}{2}}} - \frac{1}{{186.1m}^{\frac{3}{2}}})

Next Step Convert Units

∴

t a = (\frac{5 \cdot 50m²}{4 \cdot 0.8 \cdot \tan (\frac{2.4784rad}{2}) \cdot \sqrt{2 \cdot 9.8066m/s²}}) \cdot (\frac{1}{{0.17m}^{\frac{3}{2}}} - \frac{1}{{186.1m}^{\frac{3}{2}}})

Next Step Prepare to Evaluate

∴

t a = (\frac{5 \cdot 50}{4 \cdot 0.8 \cdot \tan (\frac{2.4784}{2}) \cdot \sqrt{2 \cdot 9.8066}}) \cdot (\frac{1}{{0.17}^{\frac{3}{2}}} - \frac{1}{{186.1}^{\frac{3}{2}}})

Next Step Evaluate

∴

t a = 86.6565059987579s

LAST Step Rounding Answer

∴

t a = 86.6565s

Time Required to Empty Tank with Triangular Weir or Notch 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

Angle A

The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

Symbol: ∠A

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle A

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

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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 Reservoir

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}})

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 Tank with Triangular Weir or Notch?

Time Required to Empty Tank with Triangular Weir or Notch evaluator uses 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))) to evaluate the Total Time Taken, Time Required to Empty Tank with Triangular Weir or Notch can be understood by considering the dynamics of the flow. When the liquid flows over the triangular weir or notch, it follows a predictable pattern that can be analyzed to estimate the time it takes for the tank to empty. Total Time Taken is denoted by t_a symbol.

How to evaluate Time Required to Empty Tank with Triangular Weir or Notch using this online evaluator? To use this online evaluator for Time Required to Empty Tank with Triangular Weir or Notch, enter Area of Weir (A), Coefficient of Discharge (C_d), Angle A (∠A), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) and hit the calculate button.

FAQs on Time Required to Empty Tank with Triangular Weir or Notch

What is the formula to find Time Required to Empty Tank with Triangular Weir or Notch?

The formula of Time Required to Empty Tank with Triangular Weir or Notch is expressed as 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))). Here is an example- 86.65651 = ((5*50)/(4*0.8*tan(2.47836753783148/2)*sqrt(2*[g])))*(1/(0.17^(3/2))-1/(186.1^(3/2))).

How to calculate Time Required to Empty Tank with Triangular Weir or Notch?

With Area of Weir (A), Coefficient of Discharge (C_d), Angle A (∠A), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) we can find Time Required to Empty Tank with Triangular Weir or Notch using the formula - 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))). This formula also uses Gravitational acceleration on Earth constant(s) and , Tangent (tan), 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=((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))

Can the Time Required to Empty Tank with Triangular Weir or Notch be negative?

Yes, the Time Required to Empty Tank with Triangular Weir or Notch, measured in Time can be negative.

Which unit is used to measure Time Required to Empty Tank with Triangular Weir or Notch?

Time Required to Empty Tank with Triangular Weir or Notch 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 Tank with Triangular Weir or Notch can be measured.

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Time Required to Empty Tank with Triangular Weir or Notch Formula

​GoTime Required to Empty Reservoir Formula

Time Required to Empty Tank with Triangular Weir or Notch Example

Time Required to Empty Tank with Triangular Weir or Notch Solution

Time Required to Empty Tank with Triangular Weir or Notch Formula Elements

Other Formulas to find Total Time Taken

Other formulas in Discharge category

How to Evaluate Time Required to Empty Tank with Triangular Weir or Notch?

FAQs on Time Required to Empty Tank with Triangular Weir or Notch

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GoTime Required to Empty Reservoir Formula