FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Relative velocity of fluid with respect to body given drag force Formula

Fx Copy

LaTeX Copy

Relative Velocity of Fluid Past Body is the velocity of the fluid flowing parallel to a body imparting force on its surface. Check FAQs

V r = \sqrt{\frac{F dD \cdot 2}{A p \cdot ρ mf \cdot C d}}

V_r - Relative Velocity of Fluid Past Body?F_dD - Drag Force by Fluid on Body?A_p - Projected Area of Body?ρ_mf - Density of Moving Fluid?C_d - Drag Coefficient for Fluid Flow?

Relative velocity of fluid with respect to body given drag force Example

With values

With units

Only example

Here is how the Relative velocity of fluid with respect to body given drag force equation looks like with Values.

Here is how the Relative velocity of fluid with respect to body given drag force equation looks like with Units.

Here is how the Relative velocity of fluid with respect to body given drag force equation looks like.

14.0049 = \sqrt{\frac{368 \cdot 2}{18800 \cdot 998 \cdot 0.002}}

14.0049m/s = \sqrt{\frac{368N \cdot 2}{18800cm² \cdot 998kg/m³ \cdot 0.002}}

14.0049 = \sqrt{\frac{368 \cdot 2}{18800 \cdot 998 \cdot 0.002}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Fluid Mechanics » fx Relative velocity of fluid with respect to body given drag force

Relative velocity of fluid with respect to body given drag force Solution

Follow our step by step solution on how to calculate Relative velocity of fluid with respect to body given drag force?

FIRST Step Consider the formula

V r = \sqrt{\frac{F dD \cdot 2}{A p \cdot ρ mf \cdot C d}}

Next Step Substitute values of Variables

∴

V r = \sqrt{\frac{368N \cdot 2}{18800cm² \cdot 998kg/m³ \cdot 0.002}}

Next Step Convert Units

∴

V r = \sqrt{\frac{368N \cdot 2}{1.88m² \cdot 998kg/m³ \cdot 0.002}}

Next Step Prepare to Evaluate

∴

V r = \sqrt{\frac{368 \cdot 2}{1.88 \cdot 998 \cdot 0.002}}

Next Step Evaluate

∴

V r = 14.0048903873106m/s

LAST Step Rounding Answer

∴

V r = 14.0049m/s

Relative velocity of fluid with respect to body given drag force Formula Elements

Variables

Functions

Relative Velocity of Fluid Past Body

Relative Velocity of Fluid Past Body is the velocity of the fluid flowing parallel to a body imparting force on its surface.

Symbol: V_r

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Relative Velocity of Fluid Past Body

Drag Force by Fluid on Body

Drag Force by Fluid on Body is the resisting force experienced by an object near contacting which the fluid is flowing.

Symbol: F_dD

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Drag Force by Fluid on Body

Projected Area of Body

Projected Area of Body is the two-dimensional area of a three-dimensional object by projecting its shape on to an arbitrary plane parallel to fluid flow.

Symbol: A_p

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Projected Area of Body

Density of Moving Fluid

Density of Moving Fluid is the density of the fluid moving over a body parallel to its surface.

Symbol: ρ_mf

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Moving Fluid

Drag Coefficient for Fluid Flow

Drag Coefficient for Fluid Flow 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.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Drag Coefficient for Fluid Flow

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.

Syntax: sqrt(Number)

Other formulas in Kinematics of Flow category

Go Rate of flow or discharge

Q = A cs \cdot v avg

Go Resultant velocity for two velocity components

V = \sqrt{(u^{2}) + (v^{2})}

Go Depth of Parabola formed at Free Surface of Water

Z = \frac{(ω^{2}) \cdot ({r 1}^{2})}{2 \cdot 9.81}

Go Angular Velocity of Vortex using Depth of Parabola

ω = \sqrt{\frac{Z \cdot 2 \cdot 9.81}{{r 1}^{2}}}

How to Evaluate Relative velocity of fluid with respect to body given drag force?

Relative velocity of fluid with respect to body given drag force evaluator uses Relative Velocity of Fluid Past Body = sqrt((Drag Force by Fluid on Body*2)/(Projected Area of Body*Density of Moving Fluid*Drag Coefficient for Fluid Flow)) to evaluate the Relative Velocity of Fluid Past Body, The Relative velocity of fluid with respect to body given drag force formula is defined as the relative velocity of the fluid with respect to the body. Relative Velocity of Fluid Past Body is denoted by V_r symbol.

How to evaluate Relative velocity of fluid with respect to body given drag force using this online evaluator? To use this online evaluator for Relative velocity of fluid with respect to body given drag force, enter Drag Force by Fluid on Body (F_dD), Projected Area of Body (A_p), Density of Moving Fluid (ρ_mf) & Drag Coefficient for Fluid Flow (C_d) and hit the calculate button.

FAQs on Relative velocity of fluid with respect to body given drag force

What is the formula to find Relative velocity of fluid with respect to body given drag force?

The formula of Relative velocity of fluid with respect to body given drag force is expressed as Relative Velocity of Fluid Past Body = sqrt((Drag Force by Fluid on Body*2)/(Projected Area of Body*Density of Moving Fluid*Drag Coefficient for Fluid Flow)). Here is an example- 14.00489 = sqrt((368*2)/(1.88*998*0.002)).

How to calculate Relative velocity of fluid with respect to body given drag force?

With Drag Force by Fluid on Body (F_dD), Projected Area of Body (A_p), Density of Moving Fluid (ρ_mf) & Drag Coefficient for Fluid Flow (C_d) we can find Relative velocity of fluid with respect to body given drag force using the formula - Relative Velocity of Fluid Past Body = sqrt((Drag Force by Fluid on Body*2)/(Projected Area of Body*Density of Moving Fluid*Drag Coefficient for Fluid Flow)). This formula also uses Square Root (sqrt) function(s).

Can the Relative velocity of fluid with respect to body given drag force be negative?

No, the Relative velocity of fluid with respect to body given drag force, measured in Speed cannot be negative.

Which unit is used to measure Relative velocity of fluid with respect to body given drag force?

Relative velocity of fluid with respect to body given drag force is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Relative velocity of fluid with respect to body given drag force can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Relative velocity of fluid with respect to body given drag force Formula

Relative velocity of fluid with respect to body given drag force Example

Relative velocity of fluid with respect to body given drag force Solution

Relative velocity of fluid with respect to body given drag force Formula Elements

Other formulas in Kinematics of Flow category

How to Evaluate Relative velocity of fluid with respect to body given drag force?

FAQs on Relative velocity of fluid with respect to body given drag force

Variable Name