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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'=rQA
v' - Falling Speed?r - Removal Ratio e?Q - Discharge?A - Area?

Falling Speed given Ratio of Removal with respect to Discharge Example

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With units
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Here is how the Falling Speed given Ratio of Removal with respect to Discharge equation looks like with Values.

Here is how the Falling Speed given Ratio of Removal with respect to Discharge equation looks like with Units.

Here is how the Falling Speed given Ratio of Removal with respect to Discharge equation looks like.

0.0101Edit=0.5Edit1.01Edit50Edit
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Falling Speed given Ratio of Removal with respect to Discharge Solution

Follow our step by step solution on how to calculate Falling Speed given Ratio of Removal with respect to Discharge?

FIRST Step Consider the formula
v'=rQA
Next Step Substitute values of Variables
v'=0.51.01m³/s50
Next Step Prepare to Evaluate
v'=0.51.0150
LAST Step Evaluate
v'=0.0101m/s

Falling Speed given Ratio of Removal with respect to Discharge 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.
Removal Ratio e
The Removal ratio e refers to the total amount of sludge removed from the sedimentation tank.
Symbol: r
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Discharge
The Discharge refers to the volume of fluid (usually water) that flows through a given cross-sectional area per unit of time.
Symbol: Q
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value can be positive or negative.
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:
Note: Value should be greater than 0.

Other Formulas to find Falling Speed

​Go Falling Speed of Smaller Particle
v'=HTd
​Go Falling Speed given Ratio of Removal with respect to Settling Velocity
v'=rVs
​Go Falling Speed given Height at Outlet Zone with respect to Area of Tank
v'=HQhAcs
​Go Falling Speed given Surface Area with respect to Settling Velocity
v'=VsAAcs

How to Evaluate Falling Speed given Ratio of Removal with respect to Discharge?

Falling Speed given Ratio of Removal with respect to Discharge evaluator uses Falling Speed = Removal Ratio e*Discharge/Area to evaluate the Falling Speed, The Falling Speed given Ratio of Removal with respect to Discharge formula is defined as the particle reaches 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 Ratio of Removal with respect to Discharge using this online evaluator? To use this online evaluator for Falling Speed given Ratio of Removal with respect to Discharge, enter Removal Ratio e (r), Discharge (Q) & Area (A) and hit the calculate button.

FAQs on Falling Speed given Ratio of Removal with respect to Discharge

What is the formula to find Falling Speed given Ratio of Removal with respect to Discharge?
The formula of Falling Speed given Ratio of Removal with respect to Discharge is expressed as Falling Speed = Removal Ratio e*Discharge/Area. Here is an example- 0.0101 = 0.5*1.01/50.
How to calculate Falling Speed given Ratio of Removal with respect to Discharge?
With Removal Ratio e (r), Discharge (Q) & Area (A) we can find Falling Speed given Ratio of Removal with respect to Discharge using the formula - Falling Speed = Removal Ratio e*Discharge/Area.
What are the other ways to Calculate Falling Speed?
Here are the different ways to Calculate Falling Speed-
  • Falling Speed=Outer Height/Detention TimeOpenImg
  • Falling Speed=Removal Ratio e*Settling VelocityOpenImg
  • Falling Speed=Outer Height*Discharge/(Height of Crack*Cross-Sectional Area)OpenImg
Can the Falling Speed given Ratio of Removal with respect to Discharge be negative?
No, the Falling Speed given Ratio of Removal with respect to Discharge, measured in Speed cannot be negative.
Which unit is used to measure Falling Speed given Ratio of Removal with respect to Discharge?
Falling Speed given Ratio of Removal with respect to Discharge 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 Ratio of Removal with respect to Discharge can be measured.
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