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Coefficient of Discharge given Time for Emptying Tank Formula

GoCoefficient of discharge Formula

GoCoefficient of discharge for area and velocity Formula

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

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

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

Coefficient of Discharge given Time for Emptying Tank Example

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

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

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

0.7865 = \frac{2 \cdot 1144 \cdot ((\sqrt{24}) - (\sqrt{20.1}))}{30 \cdot 9.1 \cdot \sqrt{2 \cdot 9.81}}

0.7865 = \frac{2 \cdot 1144m² \cdot ((\sqrt{24m}) - (\sqrt{20.1m}))}{30s \cdot 9.1m² \cdot \sqrt{2 \cdot 9.81}}

0.7865 = \frac{2 \cdot 1144 \cdot ((\sqrt{24}) - (\sqrt{20.1}))}{30 \cdot 9.1 \cdot \sqrt{2 \cdot 9.81}}

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Coefficient of Discharge given Time for Emptying Tank Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C d = \frac{2 \cdot 1144m² \cdot ((\sqrt{24m}) - (\sqrt{20.1m}))}{30s \cdot 9.1m² \cdot \sqrt{2 \cdot 9.81}}

Next Step Prepare to Evaluate

∴

C d = \frac{2 \cdot 1144 \cdot ((\sqrt{24}) - (\sqrt{20.1}))}{30 \cdot 9.1 \cdot \sqrt{2 \cdot 9.81}}

Next Step Evaluate

∴

C d = 0.786502312252424

LAST Step Rounding Answer

∴

C d = 0.7865

Coefficient of Discharge given Time for Emptying Tank Formula Elements

Variables

Functions

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 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

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

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

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 Coefficient of Discharge

Go Coefficient of discharge

C d = \frac{Q a}{Q th}

Go Coefficient of discharge for area and velocity

C d = \frac{v a \cdot A a}{V th \cdot A t}

Go Coefficient of Discharge given Time of Emptying Hemispherical Tank

C d = \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 a \cdot (\sqrt{2 \cdot 9.81})}

Go Coefficient of Discharge given Time of Emptying Circular Horizontal Tank

C d = \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 t total \cdot a \cdot (\sqrt{2 \cdot 9.81})}

Other formulas in Flow Rate category

Go Discharge through large rectangular orifice

Q O = (\frac{2}{3}) \cdot C d \cdot b \cdot (\sqrt{2 \cdot 9.81}) \cdot (({H b}^{1.5}) - ({H top}^{1.5}))

Go Discharge through fully sub-merged orifice

Q O = C d \cdot w \cdot (H b - H top) \cdot (\sqrt{2 \cdot 9.81 \cdot H L})

Go Discharge through partially sub-merged orifice

Q O = (C d \cdot w \cdot (H b - H L) \cdot (\sqrt{2 \cdot 9.81 \cdot H L})) + ((\frac{2}{3}) \cdot C d \cdot b \cdot (\sqrt{2 \cdot 9.81}) \cdot (({H L}^{1.5}) - ({H top}^{1.5})))

Go Discharge in Convergent-Divergent Mouthpiece

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

How to Evaluate Coefficient of Discharge given Time for Emptying Tank?

Coefficient of Discharge given Time for Emptying Tank evaluator uses Coefficient of Discharge = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81)) to evaluate the Coefficient of Discharge, The Coefficient of Discharge given Time for Emptying Tank is known when 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, 'A' and 'a' be the area of the tank and orifice. Coefficient of Discharge is denoted by C_d symbol.

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

FAQs on Coefficient of Discharge given Time for Emptying Tank

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

The formula of Coefficient of Discharge given Time for Emptying Tank is expressed as Coefficient of Discharge = (2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81)). Here is an example- 0.80763 = (2*1144*((sqrt(24))-(sqrt(20.1))))/(30*9.1*sqrt(2*9.81)).

How to calculate Coefficient of Discharge given Time for Emptying Tank?

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

What are the other ways to Calculate Coefficient of Discharge?

Here are the different ways to Calculate Coefficient of Discharge-

Coefficient of Discharge=Actual Discharge/Theoretical Discharge
Coefficient of Discharge=(Actual Velocity*Actual Area)/(Theoretical Velocity*Theoretical Area)
Coefficient of Discharge=(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*Area of Orifice*(sqrt(2*9.81)))

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Coefficient of Discharge given Time for Emptying Tank Formula

​GoCoefficient of discharge Formula

​GoCoefficient of discharge for area and velocity Formula

Coefficient of Discharge given Time for Emptying Tank Example

Coefficient of Discharge given Time for Emptying Tank Solution

Coefficient of Discharge given Time for Emptying Tank Formula Elements

Other Formulas to find Coefficient of Discharge

Other formulas in Flow Rate category

How to Evaluate Coefficient of Discharge given Time for Emptying Tank?

FAQs on Coefficient of Discharge given Time for Emptying Tank

Variable Name

GoCoefficient of discharge Formula

GoCoefficient of discharge for area and velocity Formula