Area of Tank given Time for Emptying Tank Calculator

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Orifices and Mouthpieces

Draft Tube

Properties of Surfaces and Solids

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✖Total Time Taken is the total time taken by the body to cover that space.ⓘ Total Time Taken [t_total]			+10% -10%
✖The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖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).ⓘ Area of Orifice [a]			+10% -10%
✖The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Initial Height of Liquid [H_i]			+10% -10%
✖The Final height of liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Final Height of Liquid [H_f]			+10% -10%

✖The Area of tank is a variable from the concept of emptying the tank through orifice.ⓘ Area of Tank given Time for Emptying Tank [A_T]

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Formula

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Area of Tank given Time for Emptying Tank

Formula

`"A"_{"T"} = ("t"_{"total"}*"C"_{"d"}*"a"*(sqrt(2*9.81)))/(2*((sqrt("H"_{"i"}))-(sqrt("H"_{"f"}))))`

Example

`"1265.451m²"=("30s"*"0.87"*"9.1m²"*(sqrt(2*9.81)))/(2*((sqrt("24m"))-(sqrt("20.1m"))))`

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Area of Tank given Time for Emptying Tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
A_T = (t_total*C_d*a*(sqrt(2*9.81)))/(2*((sqrt(H_i))-(sqrt(H_f))))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sqrt(Number)

Variables Used

Area of Tank - (Measured in Square Meter) - The Area of tank is a variable from the concept of emptying the tank through orifice.
Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
Coefficient of Discharge - The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Area of Orifice - (Measured in Square Meter) - 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).
Initial Height of Liquid - (Measured in Meter) - The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.
Final Height of Liquid - (Measured in Meter) - The Final height of liquid is a variable from the tank emptying through an orifice at its bottom.

STEP 1: Convert Input(s) to Base Unit

Total Time Taken: 30 Second --> 30 Second No Conversion Required
Coefficient of Discharge: 0.87 --> No Conversion Required
Area of Orifice: 9.1 Square Meter --> 9.1 Square Meter No Conversion Required
Initial Height of Liquid: 24 Meter --> 24 Meter No Conversion Required
Final Height of Liquid: 20.1 Meter --> 20.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_T = (t_total*C_d*a*(sqrt(2*9.81)))/(2*((sqrt(H_i))-(sqrt(H_f)))) --> (30*0.87*9.1*(sqrt(2*9.81)))/(2*((sqrt(24))-(sqrt(20.1))))

Evaluating ... ...

A_T = 1265.45082512176

STEP 3: Convert Result to Output's Unit

1265.45082512176 Square Meter --> No Conversion Required

FINAL ANSWER

1265.45082512176 ≈ 1265.451 Square Meter <-- Area of Tank

(Calculation completed in 00.020 seconds)

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Home » Physics » Fluid Mechanics » Orifices and Mouthpieces » Geometric Dimensions » Area of Tank given Time for Emptying Tank

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< 8 Geometric Dimensions Calculators

Area of Orifice given Time of Emptying Hemispherical Tank

Go Area of Orifice = (pi*(((4/3)*Hemispherical Tank Radius*((Initial Height of Liquid^(3/2))-(Final Height of Liquid^(3/2))))-((2/5)*((Initial Height of Liquid^(5/2))-(Final Height of Liquid)^(5/2)))))/(Total Time Taken*Coefficient of Discharge*(sqrt(2*9.81)))

Area of Tank given Time for Emptying Tank

Go 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))))

Horizontal distance for coefficient of velocity and vertical distance

Go Horizontal Distance = Coefficient of Velocity*(sqrt(4*Vertical Distance*Head of the Liquid))

Vertical distance for coefficient of velocity and horizontal distance

Go Vertical Distance = (Horizontal Distance^2)/(4*(Coefficient of Velocity^2)*Head of the Liquid)

Area at vena contracta for discharge and constant head

Go Area at Vena Contracta = Discharge through Mouthpiece/(sqrt(2*9.81*Constant Head))

Area of Mouthpiece in Borda's Mouthpiece Running Full

Go Area = Discharge through Mouthpiece/(0.707*sqrt(2*9.81*Constant Head))

Area of Mouthpiece in Borda's Mouthpiece Running Free

Go Area = Discharge through Mouthpiece/(0.5*sqrt(2*9.81*Constant Head))

Coefficient of Contraction given Area of Orifice

Go Coefficient of Contraction = Area of Jet/Area of Orifice

Area of Tank given Time for Emptying Tank Formula

What is coefficient of discharge?

The coefficient of discharge is defined as the ratio of the actual discharge from an orifice to the theoretical discharge from the orifice.

What is an orifice?

The orifice is defined as the small opening on the side or bottom of a tank through which any kind of fluid is flowing. The opening can be circular, triangular, or rectangular in cross-section and they are named on the basis of shape accordingly.

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

Area of Tank given Time for Emptying Tank calculator 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 calculate 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 calculate Area of Tank given Time for Emptying Tank using this online calculator? To use this online calculator 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. Here is how the Area of Tank given Time for Emptying Tank calculation can be explained with given input values -> 1232.346 = (30*0.87*9.1*(sqrt(2*9.81)))/(2*((sqrt(24))-(sqrt(20.1)))).

FAQ

What is Area of Tank given Time for Emptying 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 and is represented as A_T = (t_total*C_d*a*(sqrt(2*9.81)))/(2*((sqrt(H_i))-(sqrt(H_f)))) or 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)))). Total Time Taken is the total time taken by the body to cover that space, The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge, 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), The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom & The Final height of liquid is a variable from the tank emptying through an orifice at its bottom.

How to calculate Area of Tank given Time for Emptying 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 is calculated using 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 calculate Area of Tank given Time for Emptying Tank, you need 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). With our tool, you need to enter the respective value for Total Time Taken, Coefficient of Discharge, Area of Orifice, Initial Height of Liquid & Final Height of Liquid 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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