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))
Vr = sqrt((FdD*2)/(Ap*ρFluid*Cd))
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
Vr = sqrt((FdD*2)/(ApFluid*Cd)) --> sqrt((368*2)/(1.88*998*0.002))
Evaluating ... ...
Vr = 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 00.004 seconds)

Credits

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National Institute of Technology (NIT), Srinagar
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17 Kinematics of Flow Calculators

Actual Discharge in Venturimeter
Go Actual Discharge through Venturimeter = Coefficient of Discharge of Venturimeter*((Cross Section Area of Venturimeter Inlet*Cross Section Area of Venturimeter Throat)/(sqrt((Cross Section Area of Venturimeter Inlet^2)-(Cross Section Area of Venturimeter Throat^2)))*sqrt(2*[g]*Net Head of Liquid in Venturimeter))
Relative velocity of fluid with respect to body given drag force
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))
Drag coefficient given Drag force
Go Drag Coefficient for Fluid Flow = (Drag Force by Fluid on Body*2)/(Projected Area of Body*Density of Moving Fluid*Relative Velocity of Fluid Past Body^2)
Difference in pressure head for light liquid in manometer
Go Difference in Pressure Head in Manometer = Difference in Liquid Level in Manometer*(1-(Specific Gravity of Lighter Liquid/Specific Gravity of Flowing Liquid))
Difference in Pressure Head for heavier Liquid in Manometer
Go Difference in Pressure Head in Manometer = Difference in Liquid Level in Manometer*(Specific Gravity of Heavier Liquid/Specific Gravity of Flowing Liquid-1)
Total Pressure Force at Bottom of Cylinder
Go Pressure Force on Bottom = Density*9.81*pi*(Radius^2)*Cylinder Height+Pressure Force on Top
Resultant bend force along x and y direction
Go Resultant Force on Pipe Bend = sqrt((Force along X-Direction on Pipe Bend^2)+(Force along Y-Direction on Pipe Bend^2))
Height or depth of paraboloid for volume of air
Go Height of Crack = ((Diameter^2)/(2*(Radius^2)))*(Length-Initial Height of Liquid)
Total pressure force on top of cylinder
Go Pressure Force on Top = (Liquid Density/4)*(Angular Velocity^2)*pi*(Radius^4)
Coefficient of pitot-tube for velocity at any point
Go Coefficient of Pitot Tube = Velocity at Any Point for Pitot Tube/(sqrt(2*9.81*Rise of Liquid in Pitot Tube))
Velocity at any point for coefficient of pitot-tube
Go Velocity at Any Point for Pitot Tube = Coefficient of Pitot Tube*sqrt(2*9.81*Rise of Liquid in Pitot Tube)
Resultant velocity for two velocity components
Go Resultant Velocity = sqrt((Velocity Component at U^2)+(Velocity Component at V^2))
Angular Velocity of Vortex using Depth of Parabola
Go Angular Velocity = sqrt((Depth of Parabola*2*9.81)/(Radius^2))
Air Resistance Force
Go Air Resistance = Air Constant*Velocity^2
Depth of Parabola formed at Free Surface of Water
Go Depth of Parabola = ((Angular Velocity^2)*(Radius^2))/(2*9.81)
Velocity of Fluid Particle
Go Velocity of Fluid Particle = Displacement/Total Time Taken
Rate of flow or discharge
Go Rate of Flow = Cross-Sectional Area*Average Velocity

Relative velocity of fluid with respect to body given drag force 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))
Vr = sqrt((FdD*2)/(Ap*ρFluid*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 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 Vr 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 (FdD), Projected Area of Body (Ap), Density of Moving Fluid Fluid) & Drag Coefficient for Fluid Flow (Cd) 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 Vr = sqrt((FdD*2)/(ApFluid*Cd)) 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 (FdD), Projected Area of Body (Ap), Density of Moving Fluid Fluid) & Drag Coefficient for Fluid Flow (Cd). 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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