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*((Fd)/(CD*A*ρwater)))
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) - Area refers to the measure of the extent of a two-dimensional surface or shape in a plane.
Water Density - (Measured in Kilogram per Cubic Meter) - The Water Density refers to the measure of how much mass is contained in a given volume of water.
STEP 1: Convert Input(s) to Base Unit
Drag Force: 76.95 Newton --> 76.95 Newton No Conversion Required
Coefficient of Drag: 0.38 --> 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*((Fd)/(CD*A*ρwater))) --> sqrt(2*((76.95)/(0.38*50*1000)))
Evaluating ... ...
v = 0.09
STEP 3: Convert Result to Output's Unit
0.09 Meter per Second --> No Conversion Required
FINAL ANSWER
0.09 Meter per Second <-- Velocity of Fall
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Drag Force Calculators

Velocity of Fall given Drag Force Offered by Fluid
​ LaTeX ​ Go Velocity of Fall = sqrt(2*((Drag Force)/(Coefficient of Drag*Area*Water Density)))
Area of Particle given Drag Force Offered by Fluid
​ LaTeX ​ Go Area of Particle = Particle Drag Force/(Coefficient of Drag*Water Density*((Velocity of Fall)^2)/2)
Drag Force Offered by Fluid
​ LaTeX ​ Go Drag Force = (Coefficient of Drag*Area*Water Density*((Velocity of Fall)^2)/2)

Velocity of Fall given Drag Force Offered by Fluid Formula

​LaTeX ​Go
Velocity of Fall = sqrt(2*((Drag Force)/(Coefficient of Drag*Area*Water Density)))
v = sqrt(2*((Fd)/(CD*A*ρwater)))

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, The Velocity of Fall given Drag Force Offered by Fluid formula is defined as the calculation of velocity of fall when we have prior information of drag force. 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 (Fd), Coefficient of Drag (CD), Area (A) & Water Density 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 -> 0.091766 = sqrt(2*((76.95)/(0.38*50*1000))).

FAQ

What is Velocity of Fall given Drag Force Offered by Fluid?
The Velocity of Fall given Drag Force Offered by Fluid formula is defined as the calculation of velocity of fall when we have prior information of drag force and is represented as v = sqrt(2*((Fd)/(CD*A*ρwater))) 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, Area refers to the measure of the extent of a two-dimensional surface or shape in a plane & The Water Density refers to the measure of how much mass is contained in a given volume of water.
How to calculate Velocity of Fall given Drag Force Offered by Fluid?
The Velocity of Fall given Drag Force Offered by Fluid formula is defined as the calculation of velocity of fall when we have prior information of drag force 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 (Fd), Coefficient of Drag (CD), Area (A) & Water Density 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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