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Area of Tank given Time for Emptying Tank Formula

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The Area of tank is a variable from the concept of emptying the tank through orifice. Check FAQs

A T = \frac{t total \cdot C d \cdot a \cdot (\sqrt{2 \cdot 9.81})}{2 \cdot ((\sqrt{H i}) - (\sqrt{H f}))}

A_T - Area of Tank?t_total - Total Time Taken?C_d - Coefficient of Discharge?a - Area of Orifice?H_i - Initial Height of Liquid?H_f - Final Height of Liquid?

Area of Tank given Time for Emptying Tank Example

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Here is how the Area of Tank given Time for Emptying Tank equation looks like with Values.

Here is how the Area of Tank given Time for Emptying Tank equation looks like with Units.

Here is how the Area of Tank given Time for Emptying Tank equation looks like.

1265.4508 = \frac{30 \cdot 0.87 \cdot 9.1 \cdot (\sqrt{2 \cdot 9.81})}{2 \cdot ((\sqrt{24}) - (\sqrt{20.1}))}

1265.4508m² = \frac{30s \cdot 0.87 \cdot 9.1m² \cdot (\sqrt{2 \cdot 9.81})}{2 \cdot ((\sqrt{24m}) - (\sqrt{20.1m}))}

1265.4508 = \frac{30 \cdot 0.87 \cdot 9.1 \cdot (\sqrt{2 \cdot 9.81})}{2 \cdot ((\sqrt{24}) - (\sqrt{20.1}))}

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Area of Tank given Time for Emptying Tank Solution

Follow our step by step solution on how to calculate Area of Tank given Time for Emptying Tank?

FIRST Step Consider the formula

A T = \frac{t total \cdot C d \cdot a \cdot (\sqrt{2 \cdot 9.81})}{2 \cdot ((\sqrt{H i}) - (\sqrt{H f}))}

Next Step Substitute values of Variables

∴

A T = \frac{30s \cdot 0.87 \cdot 9.1m² \cdot (\sqrt{2 \cdot 9.81})}{2 \cdot ((\sqrt{24m}) - (\sqrt{20.1m}))}

Next Step Prepare to Evaluate

∴

A T = \frac{30 \cdot 0.87 \cdot 9.1 \cdot (\sqrt{2 \cdot 9.81})}{2 \cdot ((\sqrt{24}) - (\sqrt{20.1}))}

Next Step Evaluate

∴

A T = 1265.45082512176m²

LAST Step Rounding Answer

∴

A T = 1265.4508m²

Area of Tank given Time for Emptying Tank Formula Elements

Variables

Functions

Area of Tank

The Area of tank is a variable from the concept of emptying the tank through orifice.

Symbol: A_T

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Tank

Total Time Taken

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

Symbol: t_total

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Total Time Taken

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

Area of Orifice

The Area of Orifice is often a pipe or tube of varying cross-sectional area, and it can be used to direct or modify the flow of a fluid (liquid or gas).

Symbol: a

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Orifice

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

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

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 in Geometric Dimensions category

Go Vertical distance for coefficient of velocity and horizontal distance

V = \frac{R^{2}}{4 \cdot ({C v}^{2}) \cdot H}

Go Area of Orifice given Time of Emptying Hemispherical Tank

a = \frac{π \cdot (((\frac{4}{3}) \cdot R t \cdot (({H i}^{\frac{3}{2}}) - ({H f}^{\frac{3}{2}}))) - ((\frac{2}{5}) \cdot (({H i}^{\frac{5}{2}}) - {(H f)}^{\frac{5}{2}})))}{t total \cdot C d \cdot (\sqrt{2 \cdot 9.81})}

Go Area at vena contracta for discharge and constant head

a c = \frac{Q M}{\sqrt{2 \cdot 9.81 \cdot H c}}

Go Area of Mouthpiece in Borda's Mouthpiece Running Full

A = \frac{Q M}{0.707 \cdot \sqrt{2 \cdot 9.81 \cdot H c}}

How to Evaluate Area of Tank given Time for Emptying Tank?

Area of Tank given Time for Emptying Tank evaluator uses Area of Tank = (Total Time Taken*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))/(2*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid)))) to evaluate the Area of Tank, The Area of Tank given Time for Emptying Tank formula is known while considering a tank containing some liquid up to a height of H 1. Let T be the time taken for emptying the tank through an orifice at the bottom and 'A' is the area of the tank. Area of Tank is denoted by A_T symbol.

How to evaluate Area of Tank given Time for Emptying Tank using this online evaluator? To use this online evaluator for Area of Tank given Time for Emptying Tank, enter Total Time Taken (t_total), Coefficient of Discharge (C_d), Area of Orifice (a), Initial Height of Liquid (H_i) & Final Height of Liquid (H_f) and hit the calculate button.

FAQs on Area of Tank given Time for Emptying Tank

What is the formula to find Area of Tank given Time for Emptying Tank?

The formula of Area of Tank given Time for Emptying Tank is expressed as Area of Tank = (Total Time Taken*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))/(2*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid)))). Here is an example- 1232.346 = (30*0.87*9.1*(sqrt(2*9.81)))/(2*((sqrt(24))-(sqrt(20.1)))).

How to calculate Area of Tank given Time for Emptying Tank?

With Total Time Taken (t_total), Coefficient of Discharge (C_d), Area of Orifice (a), Initial Height of Liquid (H_i) & Final Height of Liquid (H_f) we can find Area of Tank given Time for Emptying Tank using the formula - Area of Tank = (Total Time Taken*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))/(2*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid)))). This formula also uses Square Root (sqrt) function(s).

Can the Area of Tank given Time for Emptying Tank be negative?

No, the Area of Tank given Time for Emptying Tank, measured in Area cannot be negative.

Which unit is used to measure Area of Tank given Time for Emptying Tank?

Area of Tank given Time for Emptying Tank is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Tank given Time for Emptying Tank can be measured.

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Area of Tank given Time for Emptying Tank Formula

Area of Tank given Time for Emptying Tank Example

Area of Tank given Time for Emptying Tank Solution

Area of Tank given Time for Emptying Tank Formula Elements

Other formulas in Geometric Dimensions category

How to Evaluate Area of Tank given Time for Emptying Tank?

FAQs on Area of Tank given Time for Emptying Tank

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