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Time of Emptying Circular Horizontal Tank Formula

GoTime of Emptying Tank through Orifice at Bottom Formula

GoTime of Emptying Hemispherical Tank Formula

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

t total = \frac{4 \cdot L \cdot (({((2 \cdot r 1) - H f)}^{\frac{3}{2}}) - {((2 \cdot r 1) - H i)}^{\frac{3}{2}})}{3 \cdot C d \cdot a \cdot (\sqrt{2 \cdot 9.81})}

t_total - Total Time Taken?L - Length?r₁ - Radius?H_f - Final Height of Liquid?H_i - Initial Height of Liquid?C_d - Coefficient of Discharge?a - Area of Orifice?

Time of Emptying Circular Horizontal Tank Example

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Here is how the Time of Emptying Circular Horizontal Tank equation looks like with Values.

Here is how the Time of Emptying Circular Horizontal Tank equation looks like with Units.

Here is how the Time of Emptying Circular Horizontal Tank equation looks like.

30.7854 = \frac{4 \cdot 31 \cdot (({((2 \cdot 21) - 20.1)}^{\frac{3}{2}}) - {((2 \cdot 21) - 24)}^{\frac{3}{2}})}{3 \cdot 0.87 \cdot 9.1 \cdot (\sqrt{2 \cdot 9.81})}

30.7854s = \frac{4 \cdot 31m \cdot (({((2 \cdot 21m) - 20.1m)}^{\frac{3}{2}}) - {((2 \cdot 21m) - 24m)}^{\frac{3}{2}})}{3 \cdot 0.87 \cdot 9.1m² \cdot (\sqrt{2 \cdot 9.81})}

30.7854 = \frac{4 \cdot 31 \cdot (({((2 \cdot 21) - 20.1)}^{\frac{3}{2}}) - {((2 \cdot 21) - 24)}^{\frac{3}{2}})}{3 \cdot 0.87 \cdot 9.1 \cdot (\sqrt{2 \cdot 9.81})}

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Time of Emptying Circular Horizontal Tank Solution

Follow our step by step solution on how to calculate Time of Emptying Circular Horizontal Tank?

FIRST Step Consider the formula

t total = \frac{4 \cdot L \cdot (({((2 \cdot r 1) - H f)}^{\frac{3}{2}}) - {((2 \cdot r 1) - H i)}^{\frac{3}{2}})}{3 \cdot C d \cdot a \cdot (\sqrt{2 \cdot 9.81})}

Next Step Substitute values of Variables

∴

t total = \frac{4 \cdot 31m \cdot (({((2 \cdot 21m) - 20.1m)}^{\frac{3}{2}}) - {((2 \cdot 21m) - 24m)}^{\frac{3}{2}})}{3 \cdot 0.87 \cdot 9.1m² \cdot (\sqrt{2 \cdot 9.81})}

Next Step Prepare to Evaluate

∴

t total = \frac{4 \cdot 31 \cdot (({((2 \cdot 21) - 20.1)}^{\frac{3}{2}}) - {((2 \cdot 21) - 24)}^{\frac{3}{2}})}{3 \cdot 0.87 \cdot 9.1 \cdot (\sqrt{2 \cdot 9.81})}

Next Step Evaluate

∴

t total = 30.7853694634305s

LAST Step Rounding Answer

∴

t total = 30.7854s

Time of Emptying Circular Horizontal Tank Formula Elements

Variables

Functions

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

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

Radius

Radius is a radial line from the focus to any point of a curve.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius

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

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

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 of Emptying Tank through Orifice at Bottom

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

Go Time of Emptying Hemispherical Tank

t total = \frac{π \cdot (((\frac{4}{3}) \cdot R t \cdot (({H i}^{1.5}) - ({H f}^{1.5}))) - (0.4 \cdot (({H i}^{\frac{5}{2}}) - {(H f)}^{\frac{5}{2}})))}{C d \cdot a \cdot (\sqrt{2 \cdot 9.81})}

Other formulas in Velocity and Time category

Go Theoretical velocity

v = \sqrt{2 \cdot 9.81 \cdot H p}

Go Velocity of liquid at C-C for Hc, Ha, and H

V i = \sqrt{2 \cdot 9.81 \cdot (H a + H c - H AP)}

How to Evaluate Time of Emptying Circular Horizontal Tank?

Time of Emptying Circular Horizontal Tank evaluator uses Total Time Taken = (4*Length*((((2*Radius)-Final Height of Liquid)^(3/2))-((2*Radius)-Initial Height of Liquid)^(3/2)))/(3*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81))) to evaluate the Total Time Taken, The Time of Emptying Circular Horizontal Tank formula is known while considering a circular horizontal tank of length L and radius R, containing liquid up to a height of H1. Total Time Taken is denoted by t_total symbol.

How to evaluate Time of Emptying Circular Horizontal Tank using this online evaluator? To use this online evaluator for Time of Emptying Circular Horizontal Tank, enter Length (L), Radius (r₁), Final Height of Liquid (H_f), Initial Height of Liquid (H_i), Coefficient of Discharge (C_d) & Area of Orifice (a) and hit the calculate button.

FAQs on Time of Emptying Circular Horizontal Tank

What is the formula to find Time of Emptying Circular Horizontal Tank?

The formula of Time of Emptying Circular Horizontal Tank is expressed as Total Time Taken = (4*Length*((((2*Radius)-Final Height of Liquid)^(3/2))-((2*Radius)-Initial Height of Liquid)^(3/2)))/(3*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81))). Here is an example- 9.077938 = (4*31*((((2*21)-20.1)^(3/2))-((2*21)-24)^(3/2)))/(3*0.87*9.1*(sqrt(2*9.81))).

How to calculate Time of Emptying Circular Horizontal Tank?

With Length (L), Radius (r₁), Final Height of Liquid (H_f), Initial Height of Liquid (H_i), Coefficient of Discharge (C_d) & Area of Orifice (a) we can find Time of Emptying Circular Horizontal Tank using the formula - Total Time Taken = (4*Length*((((2*Radius)-Final Height of Liquid)^(3/2))-((2*Radius)-Initial Height of Liquid)^(3/2)))/(3*Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81))). This formula also uses 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=(2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Coefficient of Discharge*Area of Orifice*sqrt(2*9.81))
Total Time Taken=(pi*(((4/3)*Hemispherical Tank Radius*((Initial Height of Liquid^1.5)-(Final Height of Liquid^1.5)))-(0.4*((Initial Height of Liquid^(5/2))-(Final Height of Liquid)^(5/2)))))/(Coefficient of Discharge*Area of Orifice*(sqrt(2*9.81)))

Can the Time of Emptying Circular Horizontal Tank be negative?

Yes, the Time of Emptying Circular Horizontal Tank, measured in Time can be negative.

Which unit is used to measure Time of Emptying Circular Horizontal Tank?

Time of Emptying Circular Horizontal Tank is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time of Emptying Circular Horizontal Tank can be measured.

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Time of Emptying Circular Horizontal Tank Formula

​GoTime of Emptying Tank through Orifice at Bottom Formula

​GoTime of Emptying Hemispherical Tank Formula

Time of Emptying Circular Horizontal Tank Example

Time of Emptying Circular Horizontal Tank Solution

Time of Emptying Circular Horizontal Tank Formula Elements

Other Formulas to find Total Time Taken

Other formulas in Velocity and Time category

How to Evaluate Time of Emptying Circular Horizontal Tank?

FAQs on Time of Emptying Circular Horizontal Tank

Variable Name

GoTime of Emptying Tank through Orifice at Bottom Formula

GoTime of Emptying Hemispherical Tank Formula