Velocity of Fall given Drag Force Offered by Fluid Calculator

✖Drag force is the resisting force experienced by an object moving through a fluid.ⓘ Drag force [F_d]			+10% -10%
✖The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Coefficient of Drag [C_D]			+10% -10%
✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]			+10% -10%
✖Water Density is mass per unit of water.ⓘ Water Density [ρ_water]			+10% -10%

✖Velocity of fall is defined as the velocity at which a particle is falling in a medium.ⓘ Velocity of Fall given Drag Force Offered by Fluid [v]

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Formula

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Velocity of Fall given Drag Force Offered by Fluid

Formula

`"v" = sqrt(2*(("F"_{"d"})/("C"_{"D"}*"A"*"ρ"_{"water"})))`

Example

`"2m/s"=sqrt(2*(("1000N")/("0.01"*"50m²"*"1000kg/m³")))`

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Velocity of Fall given Drag Force Offered by Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of fall = sqrt(2*((Drag force)/(Coefficient of Drag*Area*Water Density)))
v = sqrt(2*((F_d)/(C_D*A*ρ_water)))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

Velocity of fall - (Measured in Meter per Second) - Velocity of fall is defined as the velocity at which a particle is falling in a medium.
Drag force - (Measured in Newton) - Drag force is the resisting force experienced by an object moving through a fluid.
Coefficient of Drag - The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.

STEP 1: Convert Input(s) to Base Unit

Drag force: 1000 Newton --> 1000 Newton No Conversion Required
Coefficient of Drag: 0.01 --> No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = sqrt(2*((F_d)/(C_D*A*ρ_water))) --> sqrt(2*((1000)/(0.01*50*1000)))

Evaluating ... ...

v = 2

STEP 3: Convert Result to Output's Unit

2 Meter per Second --> No Conversion Required

FINAL ANSWER

2 Meter per Second <-- Velocity of fall

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Drag Force Calculators

Velocity of Fall given Drag Force Offered by Fluid

Go Velocity of fall = sqrt(2*((Drag force)/(Coefficient of Drag*Area*Water Density)))

Area of Particle given Drag Force Offered by Fluid

Go Area = Drag force/(Coefficient of Drag*Water Density*((Velocity of fall)^2)/2)

Drag Force Offered by Fluid

Go Drag force = (Coefficient of Drag*Area*Water Density*((Velocity of fall)^2)/2)

Velocity of Fall given Drag Force Offered by Fluid Formula

Velocity of fall = sqrt(2*((Drag force)/(Coefficient of Drag*Area*Water Density)))
v = sqrt(2*((F_d)/(C_D*A*ρ_water)))

What is drag force ?

A drag force is the resistance force caused by the motion of a body through a fluid, such as water or air. A drag force acts opposite to the direction of the oncoming flow velocity. This is the relative velocity between the body and the fluid.

How to Calculate Velocity of Fall given Drag Force Offered by Fluid?

Velocity of Fall given Drag Force Offered by Fluid calculator uses Velocity of fall = sqrt(2*((Drag force)/(Coefficient of Drag*Area*Water Density))) to calculate the Velocity of fall, Velocity of Fall given Drag Force Offered by Fluid calculates velocity of fall when we have prior information of other parameters . Velocity of fall is denoted by v symbol.

How to calculate Velocity of Fall given Drag Force Offered by Fluid using this online calculator? To use this online calculator for Velocity of Fall given Drag Force Offered by Fluid, enter Drag force (F_d), Coefficient of Drag (C_D), Area (A) & Water Density (ρ_water) and hit the calculate button. Here is how the Velocity of Fall given Drag Force Offered by Fluid calculation can be explained with given input values -> 2 = sqrt(2*((1000)/(0.01*50*1000))).

FAQ

What is Velocity of Fall given Drag Force Offered by Fluid?

Velocity of Fall given Drag Force Offered by Fluid calculates velocity of fall when we have prior information of other parameters and is represented as v = sqrt(2*((F_d)/(C_D*A*ρ_water))) or Velocity of fall = sqrt(2*((Drag force)/(Coefficient of Drag*Area*Water Density))). Drag force is the resisting force experienced by an object moving through a fluid, The Coefficient of Drag is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, The area is the amount of two-dimensional space taken up by an object & Water Density is mass per unit of water.

How to calculate Velocity of Fall given Drag Force Offered by Fluid?

Velocity of Fall given Drag Force Offered by Fluid calculates velocity of fall when we have prior information of other parameters is calculated using Velocity of fall = sqrt(2*((Drag force)/(Coefficient of Drag*Area*Water Density))). To calculate Velocity of Fall given Drag Force Offered by Fluid, you need Drag force (F_d), Coefficient of Drag (C_D), Area (A) & Water Density (ρ_water). With our tool, you need to enter the respective value for Drag force, Coefficient of Drag, Area & Water Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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