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

✖Drag Force by Fluid on Body is the resisting force experienced by an object near contacting which the fluid is flowing.ⓘ Drag Force by Fluid on Body [F_dD]			+10% -10%
✖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.ⓘ Projected Area of Body [A_p]			+10% -10%
✖Density of Moving Fluid is the density of the fluid moving over a body parallel to its surface.ⓘ Density of Moving Fluid [ρ_mf]			+10% -10%
✖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.ⓘ Drag Coefficient for Fluid Flow [C_d]			+10% -10%

✖Relative Velocity of Fluid Past Body is the velocity of the fluid flowing parallel to a body imparting force on its surface.ⓘ Relative velocity of fluid with respect to body given drag force [V_r]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
V_r = sqrt((F_dD*2)/(A_p*ρ_mf*C_d))
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

Relative Velocity of Fluid Past Body - (Measured in Meter per Second) - Relative Velocity of Fluid Past Body is the velocity of the fluid flowing parallel to a body imparting force on its surface.
Drag Force by Fluid on Body - (Measured in Newton) - Drag Force by Fluid on Body is the resisting force experienced by an object near contacting which the fluid is flowing.
Projected Area of Body - (Measured in Square Meter) - 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.
Density of Moving Fluid - (Measured in Kilogram per Cubic Meter) - Density of Moving Fluid is the density of the fluid moving over a body parallel to its surface.
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.

STEP 1: Convert Input(s) to Base Unit

Drag Force by Fluid on Body: 368 Newton --> 368 Newton No Conversion Required
Projected Area of Body: 18800 Square Centimeter --> 1.88 Square Meter (Check conversion here)
Density of Moving Fluid: 998 Kilogram per Cubic Meter --> 998 Kilogram per Cubic Meter No Conversion Required
Drag Coefficient for Fluid Flow: 0.002 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_r = sqrt((F_dD*2)/(A_p*ρ_mf*C_d)) --> sqrt((368*2)/(1.88*998*0.002))

Evaluating ... ...

V_r = 14.0048903873106

STEP 3: Convert Result to Output's Unit

14.0048903873106 Meter per Second --> No Conversion Required

FINAL ANSWER

14.0048903873106 ≈ 14.00489 Meter per Second <-- Relative Velocity of Fluid Past Body

(Calculation completed in 00.005 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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National Institute Of Technology (NIT), Hamirpur

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< Kinematics of Flow Calculators

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Rate of flow or discharge

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

LaTeX Go

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))
V_r = sqrt((F_dD*2)/(A_p*ρ_mf*C_d))

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 fluid with respect to body given drag force?

Relative velocity of fluid with respect to body given drag force calculator 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 calculate 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 calculate Relative velocity of fluid with respect to body given drag force using this online calculator? To use this online calculator 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. Here is how the Relative velocity of fluid with respect to body given drag force calculation can be explained with given input values -> 14.00489 = sqrt((368*2)/(1.88*998*0.002)).

FAQ

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

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 and is represented as V_r = sqrt((F_dD*2)/(A_p*ρ_mf*C_d)) or 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)). Drag Force by Fluid on Body is the resisting force experienced by an object near contacting which the fluid is flowing, 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, Density of Moving Fluid is the density of the fluid moving over a body parallel to its surface & 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.

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

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 is calculated using 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 calculate Relative velocity of fluid with respect to body given drag force, you need 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). With our tool, you need to enter the respective value for Drag Force by Fluid on Body, Projected Area of Body, Density of Moving Fluid & Drag Coefficient for Fluid Flow 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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