Surface Area with respect to Settling Velocity Calculator

✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area [A_cs]			+10% -10%
✖Falling Speed is the speed of the particle having smaller diameter.ⓘ Falling Speed [v^']			+10% -10%
✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity [v_s]			+10% -10%

✖The area is the amount of two-dimensional space taken up by an object.ⓘ Surface Area with respect to Settling Velocity [A]

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Formula

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Surface Area with respect to Settling Velocity

Formula

`"A" = "A"_{"cs"}*"v"^{"'"}/"v"_{"s"}`

Example

`"0.866667m²"="13m²"*"0.1m/s"/"1.5m/s"`

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Surface Area with respect to Settling Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Falling Speed - (Measured in Meter per Second) - Falling Speed is the speed of the particle having smaller diameter.
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Falling Speed: 0.1 Meter per Second --> 0.1 Meter per Second No Conversion Required
Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = A_cs*v^'/v_s --> 13*0.1/1.5

Evaluating ... ...

A = 0.866666666666667

STEP 3: Convert Result to Output's Unit

0.866666666666667 Square Meter --> No Conversion Required

FINAL ANSWER

0.866666666666667 ≈ 0.866667 Square Meter <-- Area

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 5 Surface Area of Tank Calculators

Surface Area given Length of Sedimentation Tank with respect to Surface Area

Go Area = Length of sedimentation tank*Cross-Sectional Area/Height of Crack

Surface Area with respect to Settling Velocity

Go Area = Cross-Sectional Area*Falling Speed/Settling Velocity

Surface Area with respect to Darcy Weishbach Friction Factor

Go Area = Cross-Sectional Area*sqrt(8/Darcy Friction Factor)

Surface Area of Sedimentation Tank

Go Area = Width*Length of sedimentation tank

Surface Area with respect to Cross-section Area for Practical Purpose

Go Area = 10*Cross-Sectional Area

Surface Area with respect to Settling Velocity Formula

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

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 Surface Area with respect to Settling Velocity?

Surface Area with respect to Settling Velocity calculator uses Area = Cross-Sectional Area*Falling Speed/Settling Velocity to calculate the Area, The Surface Area with respect to Settling Velocity formula is defined as the total area of the object. Area is denoted by A symbol.

How to calculate Surface Area with respect to Settling Velocity using this online calculator? To use this online calculator for Surface Area with respect to Settling Velocity, enter Cross-Sectional Area (A_cs), Falling Speed (v^') & Settling Velocity (v_s) and hit the calculate button. Here is how the Surface Area with respect to Settling Velocity calculation can be explained with given input values -> 0.866667 = 13*0.1/1.5.

FAQ

What is Surface Area with respect to Settling Velocity?

The Surface Area with respect to Settling Velocity formula is defined as the total area of the object and is represented as A = A_cs*v^'/v_s or Area = Cross-Sectional Area*Falling Speed/Settling Velocity. Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Falling Speed is the speed of the particle having smaller diameter & Settling velocity is defined as the terminal velocity of a particle in still fluid.

How to calculate Surface Area with respect to Settling Velocity?

The Surface Area with respect to Settling Velocity formula is defined as the total area of the object is calculated using Area = Cross-Sectional Area*Falling Speed/Settling Velocity. To calculate Surface Area with respect to Settling Velocity, you need Cross-Sectional Area (A_cs), Falling Speed (v^') & Settling Velocity (v_s). With our tool, you need to enter the respective value for Cross-Sectional Area, Falling Speed & Settling Velocity 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 Area?

In this formula, Area uses Cross-Sectional Area, Falling Speed & Settling Velocity. We can use 4 other way(s) to calculate the same, which is/are as follows -

Area = Width*Length of sedimentation tank
Area = Length of sedimentation tank*Cross-Sectional Area/Height of Crack
Area = Cross-Sectional Area*sqrt(8/Darcy Friction Factor)
Area = 10*Cross-Sectional Area

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