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Coefficient of Discharge given Time of Emptying Circular Horizontal 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{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})}

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

Coefficient of Discharge given Time of Emptying Circular Horizontal Tank Example

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

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

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

0.8928 = \frac{4 \cdot 31 \cdot (({((2 \cdot 21) - 20.1)}^{\frac{3}{2}}) - {((2 \cdot 21) - 24)}^{\frac{3}{2}})}{3 \cdot 30 \cdot 9.1 \cdot (\sqrt{2 \cdot 9.81})}

0.8928 = \frac{4 \cdot 31m \cdot (({((2 \cdot 21m) - 20.1m)}^{\frac{3}{2}}) - {((2 \cdot 21m) - 24m)}^{\frac{3}{2}})}{3 \cdot 30s \cdot 9.1m² \cdot (\sqrt{2 \cdot 9.81})}

0.8928 = \frac{4 \cdot 31 \cdot (({((2 \cdot 21) - 20.1)}^{\frac{3}{2}}) - {((2 \cdot 21) - 24)}^{\frac{3}{2}})}{3 \cdot 30 \cdot 9.1 \cdot (\sqrt{2 \cdot 9.81})}

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Coefficient of Discharge given Time of Emptying Circular Horizontal Tank Solution

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

FIRST Step Consider the formula

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})}

Next Step Substitute values of Variables

∴

C d = \frac{4 \cdot 31m \cdot (({((2 \cdot 21m) - 20.1m)}^{\frac{3}{2}}) - {((2 \cdot 21m) - 24m)}^{\frac{3}{2}})}{3 \cdot 30s \cdot 9.1m² \cdot (\sqrt{2 \cdot 9.81})}

Next Step Prepare to Evaluate

∴

C d = \frac{4 \cdot 31 \cdot (({((2 \cdot 21) - 20.1)}^{\frac{3}{2}}) - {((2 \cdot 21) - 24)}^{\frac{3}{2}})}{3 \cdot 30 \cdot 9.1 \cdot (\sqrt{2 \cdot 9.81})}

Next Step Evaluate

∴

C d = 0.892775714439483

LAST Step Rounding Answer

∴

C d = 0.8928

Coefficient of Discharge given Time of Emptying Circular Horizontal 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

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

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}

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})

How to Evaluate Coefficient of Discharge given Time of Emptying Circular Horizontal Tank?

Coefficient of Discharge given Time of Emptying Circular Horizontal Tank evaluator uses Coefficient of Discharge = (4*Length*((((2*Radius)-Final Height of Liquid)^(3/2))-((2*Radius)-Initial Height of Liquid)^(3/2)))/(3*Total Time Taken*Area of Orifice*(sqrt(2*9.81))) to evaluate the Coefficient of Discharge, The Coefficient of Discharge given 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. Coefficient of Discharge is denoted by C_d symbol.

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

FAQs on Coefficient of Discharge given Time of Emptying Circular Horizontal Tank

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

The formula of Coefficient of Discharge given Time of Emptying Circular Horizontal Tank is expressed as Coefficient of Discharge = (4*Length*((((2*Radius)-Final Height of Liquid)^(3/2))-((2*Radius)-Initial Height of Liquid)^(3/2)))/(3*Total Time Taken*Area of Orifice*(sqrt(2*9.81))). Here is an example- 0.26326 = (4*31*((((2*21)-20.1)^(3/2))-((2*21)-24)^(3/2)))/(3*30*9.1*(sqrt(2*9.81))).

How to calculate Coefficient of Discharge given Time of Emptying Circular Horizontal Tank?

With Length (L), Radius (r₁), Final Height of Liquid (H_f), Initial Height of Liquid (H_i), Total Time Taken (t_total) & Area of Orifice (a) we can find Coefficient of Discharge given Time of Emptying Circular Horizontal Tank using the formula - Coefficient of Discharge = (4*Length*((((2*Radius)-Final Height of Liquid)^(3/2))-((2*Radius)-Initial Height of Liquid)^(3/2)))/(3*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=(2*Area of Tank*((sqrt(Initial Height of Liquid))-(sqrt(Final Height of Liquid))))/(Total Time Taken*Area of Orifice*sqrt(2*9.81))

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Coefficient of Discharge given Time of Emptying Circular Horizontal Tank Formula

​GoCoefficient of discharge Formula

​GoCoefficient of discharge for area and velocity Formula

Coefficient of Discharge given Time of Emptying Circular Horizontal Tank Example

Coefficient of Discharge given Time of Emptying Circular Horizontal Tank Solution

Coefficient of Discharge given Time of Emptying Circular Horizontal Tank Formula Elements

Other Formulas to find Coefficient of Discharge

Other formulas in Flow Rate category

How to Evaluate Coefficient of Discharge given Time of Emptying Circular Horizontal Tank?

FAQs on Coefficient of Discharge given Time of Emptying Circular Horizontal Tank

Variable Name

GoCoefficient of discharge Formula

GoCoefficient of discharge for area and velocity Formula