Falling Speed given Surface Area with respect to Settling Velocity Calculator

✖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.ⓘ Settling Velocity [V_s]			+10% -10%
✖The Area of a sedimentation tank refers to the surface area of the tank where sedimentation, or the settling of suspended particles, occurs.ⓘ Area [A]			+10% -10%
✖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.ⓘ Cross-Sectional Area [A_cs]			+10% -10%

✖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.ⓘ Falling Speed given Surface Area with respect to Settling Velocity [v^']

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Formula

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Falling Speed given Surface Area with respect to Settling Velocity

Formula

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

Example

5.769231 m/s = 1.5 m/s \cdot \frac{50 m²}{13 m²}

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Falling Speed given Surface Area with respect to Settling Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Falling Speed = Settling Velocity*Area/Cross-Sectional Area
v^' = V_s*A/A_cs
This formula uses 4 Variables

Variables Used

Falling Speed - (Measured in Meter per Second) - 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.
Settling Velocity - (Measured in Meter per Second) - 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.
Area - (Measured in Square Meter) - The Area of a sedimentation tank refers to the surface area of the tank where sedimentation, or the settling of suspended particles, occurs.
Cross-Sectional Area - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v^' = V_s*A/A_cs --> 1.5*50/13

Evaluating ... ...

v^' = 5.76923076923077

STEP 3: Convert Result to Output's Unit

5.76923076923077 Meter per Second --> No Conversion Required

FINAL ANSWER

5.76923076923077 ≈ 5.769231 Meter per Second <-- Falling Speed

(Calculation completed in 00.004 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Falling Speed of Sediment Calculators

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

Go Falling Speed = Outer Height*Discharge/(Height of Crack*Cross-Sectional Area)

Falling Speed given Ratio of Removal with respect to Discharge

Go Falling Speed = Removal Ratio e*Discharge/Area

Falling Speed given Ratio of Removal with respect to Settling Velocity

Go Falling Speed = Removal Ratio e*Settling Velocity

Falling Speed of Smaller Particle

Go Falling Speed = Outer Height/Detention Time

Falling Speed given Surface Area with respect to Settling Velocity Formula

Falling Speed = Settling Velocity*Area/Cross-Sectional Area
v^' = V_s*A/A_cs

What is Sedimentation ?

Sedimentation is the tendency for particles in suspension to settle out of the fluid in which they are entrained and come to rest against a barrier. This is due to their motion through the fluid in response to the forces acting on them.

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

Falling Speed given Surface Area with respect to Settling Velocity calculator uses Falling Speed = Settling Velocity*Area/Cross-Sectional Area to calculate 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 calculate Falling Speed given Surface Area with respect to Settling Velocity using this online calculator? To use this online calculator 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. Here is how the Falling Speed given Surface Area with respect to Settling Velocity calculation can be explained with given input values -> 5.769231 = 1.5*50/13.

FAQ

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

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 and is represented as v^' = V_s*A/A_cs or Falling Speed = Settling Velocity*Area/Cross-Sectional Area. 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, The Area of a sedimentation tank refers to the surface area of the tank where sedimentation, or the settling of suspended particles, occurs & 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.

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

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 is calculated using Falling Speed = Settling Velocity*Area/Cross-Sectional Area. To calculate Falling Speed given Surface Area with respect to Settling Velocity, you need Settling Velocity (V_s), Area (A) & Cross-Sectional Area (A_cs). With our tool, you need to enter the respective value for Settling Velocity, Area & Cross-Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Falling Speed?

In this formula, Falling Speed uses Settling Velocity, Area & Cross-Sectional Area. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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