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Relative velocity of the fluid with respect to body in terms of drag force Solution

STEP 0: Pre-Calculation Summary
Formula Used
relative_velocity = sqrt((Drag Force*2)/(Projected area*density of fluid*Drag Coefficient))
Vr = sqrt((FD*2)/(PA*ρ f*CD))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Drag Force - Drag Force is the resisting force experienced by an object moving through a fluid (Measured in Newton)
Projected area - Projected area is the two dimensional area measurement of a three-dimensional object by projecting its shape on to an arbitrary plane. (Measured in Square Meter)
density of fluid - The density of fluid is the mass per unit volume considered in the relation falling resistance method. (Measured in Kilogram per Meter³)
Drag Coefficient- Drag Coefficient 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
STEP 1: Convert Input(s) to Base Unit
Drag Force: 100 Newton --> 100 Newton No Conversion Required
Projected area: 4 Square Meter --> 4 Square Meter No Conversion Required
density of fluid: 10 Kilogram per Meter³ --> 10 Kilogram per Meter³ No Conversion Required
Drag Coefficient: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vr = sqrt((FD*2)/(PA*ρ f*CD)) --> sqrt((100*2)/(4*10*100))
Evaluating ... ...
Vr = 0.223606797749979
STEP 3: Convert Result to Output's Unit
0.223606797749979 Meter per Second --> No Conversion Required
FINAL ANSWER
0.223606797749979 Meter per Second <-- Relative Velocity
(Calculation completed in 00.031 seconds)

3 Forces developed by moving fluid Calculators

Relative velocity of the fluid with respect to body in terms of drag force
relative_velocity = sqrt((Drag Force*2)/(Projected area*density of fluid*Drag Coefficient)) Go
Drag coefficient in terms of Drag force
drag_coefficient = (Drag Force*2)/(Projected area*density of fluid*Relative Velocity^2) Go
Density of fluid in terms of Drag force
density_of_fluid = (Drag Force*2)/(Projected area*Drag Coefficient*Relative Velocity^2) Go

Relative velocity of the fluid with respect to body in terms of drag force Formula

relative_velocity = sqrt((Drag Force*2)/(Projected area*density of fluid*Drag Coefficient))
Vr = sqrt((FD*2)/(PA*ρ f*CD))

How can drag be altered?

Like lift, drag actually varies with the square of the relative velocity between the object and the air. The inclination of the object to the flow also affects the amount of drag generated by a given shaped object.

How to Calculate Relative velocity of the fluid with respect to body in terms of drag force?

Relative velocity of the fluid with respect to body in terms of drag force calculator uses relative_velocity = sqrt((Drag Force*2)/(Projected area*density of fluid*Drag Coefficient)) to calculate the Relative Velocity, The relative velocity of the fluid with respect to body in terms of drag force formula is defined as the relative velocity of the fluid with respect to the body. Relative Velocity and is denoted by Vr symbol.

How to calculate Relative velocity of the fluid with respect to body in terms of drag force using this online calculator? To use this online calculator for Relative velocity of the fluid with respect to body in terms of drag force, enter Drag Force (FD, Projected area (PA), density of fluid f) and Drag Coefficient (CD) and hit the calculate button. Here is how the Relative velocity of the fluid with respect to body in terms of drag force calculation can be explained with given input values -> 0.223607 = sqrt((100*2)/(4*10*100)).

FAQ

What is Relative velocity of the fluid with respect to body in terms of drag force?
The relative velocity of the fluid with respect to body in terms of drag force formula is defined as the relative velocity of the fluid with respect to the body and is represented as Vr = sqrt((FD*2)/(PA*ρ f*CD)) or relative_velocity = sqrt((Drag Force*2)/(Projected area*density of fluid*Drag Coefficient)). Drag Force is the resisting force experienced by an object moving through a fluid, Projected area is the two dimensional area measurement of a three-dimensional object by projecting its shape on to an arbitrary plane, The density of fluid is the mass per unit volume considered in the relation falling resistance method and Drag Coefficient 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.
How to calculate Relative velocity of the fluid with respect to body in terms of drag force?
The relative velocity of the fluid with respect to body in terms of drag force formula is defined as the relative velocity of the fluid with respect to the body is calculated using relative_velocity = sqrt((Drag Force*2)/(Projected area*density of fluid*Drag Coefficient)). To calculate Relative velocity of the fluid with respect to body in terms of drag force, you need Drag Force (FD, Projected area (PA), density of fluid f) and Drag Coefficient (CD). With our tool, you need to enter the respective value for Drag Force, Projected area, density of fluid and Drag Coefficient 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 Relative Velocity?
In this formula, Relative Velocity uses Drag Force, Projected area, density of fluid and Drag Coefficient. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • drag_coefficient = (Drag Force*2)/(Projected area*density of fluid*Relative Velocity^2)
  • density_of_fluid = (Drag Force*2)/(Projected area*Drag Coefficient*Relative Velocity^2)
  • relative_velocity = sqrt((Drag Force*2)/(Projected area*density of fluid*Drag Coefficient))
Where is the Relative velocity of the fluid with respect to body in terms of drag force calculator used?
Among many, Relative velocity of the fluid with respect to body in terms of drag force calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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