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Falling Speed given Surface Area with respect to Settling Velocity Formula

GoFalling Speed of Smaller Particle Formula

GoFalling Speed given Ratio of Removal with respect to Settling Velocity Formula

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The Falling Speed refers to the constant speed at which a particle falls through a fluid when the force of gravity is balanced by the drag force and buoyant force acting on the particle. Check FAQs

v' = V s \cdot \frac{A}{A cs}

v^' - Falling Speed?V_s - Settling Velocity?A - Area?A_cs - Cross-Sectional Area?

Falling Speed given Surface Area with respect to Settling Velocity Example

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Here is how the Falling Speed given Surface Area with respect to Settling Velocity equation looks like with Values.

Here is how the Falling Speed given Surface Area with respect to Settling Velocity equation looks like with Units.

Here is how the Falling Speed given Surface Area with respect to Settling Velocity equation looks like.

5.7692 = 1.5 \cdot \frac{50}{13}

5.7692m/s = 1.5m/s \cdot \frac{50m²}{13m²}

5.7692 = 1.5 \cdot \frac{50}{13}

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Falling Speed given Surface Area with respect to Settling Velocity Solution

Follow our step by step solution on how to calculate Falling Speed given Surface Area with respect to Settling Velocity?

FIRST Step Consider the formula

v' = V s \cdot \frac{A}{A cs}

Next Step Substitute values of Variables

∴

v' = 1.5m/s \cdot \frac{50m²}{13m²}

Next Step Prepare to Evaluate

∴

v' = 1.5 \cdot \frac{50}{13}

Next Step Evaluate

∴

v' = 5.76923076923077m/s

LAST Step Rounding Answer

∴

v' = 5.7692m/s

Falling Speed given Surface Area with respect to Settling Velocity Formula Elements

Variables

Falling Speed

The Falling Speed refers to the constant speed at which a particle falls through a fluid when the force of gravity is balanced by the drag force and buoyant force acting on the particle.

Symbol: v^'

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Falling Speed

Settling Velocity

The Settling Velocity refers to the rate at which a particle suspended in a fluid (like water or air) falls under the influence of gravity until reaches a constant speed.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Settling Velocity

Area

The Area of a sedimentation tank refers to the surface area of the tank where sedimentation, or the settling of suspended particles, occurs.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area

Cross-Sectional Area

The Cross-Sectional Area of a sedimentation tank refers to the vertical slice of the tank, typically viewed from the side, that shows the depth and width.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area

Other Formulas to find Falling Speed

Go Falling Speed of Smaller Particle

v' = \frac{H}{T d}

Go Falling Speed given Ratio of Removal with respect to Settling Velocity

v' = r \cdot V s

Go Falling Speed given Ratio of Removal with respect to Discharge

v' = r \cdot \frac{Q}{A}

Go Falling Speed given Height at Outlet Zone with respect to Area of Tank

v' = H \cdot \frac{Q}{h \cdot A cs}

How to Evaluate Falling Speed given Surface Area with respect to Settling Velocity?

Falling Speed given Surface Area with respect to Settling Velocity evaluator uses Falling Speed = Settling Velocity*Area/Cross-Sectional Area to evaluate the Falling Speed, The Falling Speed given Surface Area with respect to Settling Velocity formula is defined as particle reach its terminal velocity, where gravitational force works downwards and buoyancy and viscous force work to dim particles falling. Falling Speed is denoted by v^' symbol.

How to evaluate Falling Speed given Surface Area with respect to Settling Velocity using this online evaluator? To use this online evaluator for Falling Speed given Surface Area with respect to Settling Velocity, enter Settling Velocity (V_s), Area (A) & Cross-Sectional Area (A_cs) and hit the calculate button.

FAQs on Falling Speed given Surface Area with respect to Settling Velocity

What is the formula to find Falling Speed given Surface Area with respect to Settling Velocity?

The formula of Falling Speed given Surface Area with respect to Settling Velocity is expressed as Falling Speed = Settling Velocity*Area/Cross-Sectional Area. Here is an example- 5.769231 = 1.5*50/13.

How to calculate Falling Speed given Surface Area with respect to Settling Velocity?

With Settling Velocity (V_s), Area (A) & Cross-Sectional Area (A_cs) we can find Falling Speed given Surface Area with respect to Settling Velocity using the formula - Falling Speed = Settling Velocity*Area/Cross-Sectional Area.

What are the other ways to Calculate Falling Speed?

Here are the different ways to Calculate Falling Speed-

Falling Speed=Outer Height/Detention Time
Falling Speed=Removal Ratio e*Settling Velocity
Falling Speed=Removal Ratio e*Discharge/Area

Can the Falling Speed given Surface Area with respect to Settling Velocity be negative?

No, the Falling Speed given Surface Area with respect to Settling Velocity, measured in Speed cannot be negative.

Which unit is used to measure Falling Speed given Surface Area with respect to Settling Velocity?

Falling Speed given Surface Area with respect to Settling Velocity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Falling Speed given Surface Area with respect to Settling Velocity can be measured.

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Falling Speed given Surface Area with respect to Settling Velocity Formula

​GoFalling Speed of Smaller Particle Formula

​GoFalling Speed given Ratio of Removal with respect to Settling Velocity Formula

Falling Speed given Surface Area with respect to Settling Velocity Example

Falling Speed given Surface Area with respect to Settling Velocity Solution

Falling Speed given Surface Area with respect to Settling Velocity Formula Elements

Other Formulas to find Falling Speed

How to Evaluate Falling Speed given Surface Area with respect to Settling Velocity?

FAQs on Falling Speed given Surface Area with respect to Settling Velocity

Variable Name

GoFalling Speed of Smaller Particle Formula

GoFalling Speed given Ratio of Removal with respect to Settling Velocity Formula