Freestream velocity for lift coefficient with tangential speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder
V = (2*pi*vt)/C'
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Freestream Velocity of Fluid - (Measured in Meter per Second) - Freestream velocity of fluid is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down or compress the fluid.
Tangential Velocity of Cylinder in Fluid - (Measured in Meter per Second) - Tangential velocity of cylinder in fluid is the speed of the periphery of the cylinder rotating in the flowing fluid.
Lift Coefficient for Rotating Cylinder - Lift Coefficient for rotating cylinder relates the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area.
STEP 1: Convert Input(s) to Base Unit
Tangential Velocity of Cylinder in Fluid: 43 Meter per Second --> 43 Meter per Second No Conversion Required
Lift Coefficient for Rotating Cylinder: 12.55 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (2*pi*vt)/C' --> (2*pi*43)/12.55
Evaluating ... ...
V = 21.5280452755954
STEP 3: Convert Result to Output's Unit
21.5280452755954 Meter per Second --> No Conversion Required
FINAL ANSWER
21.5280452755954 21.52805 Meter per Second <-- Freestream Velocity of Fluid
(Calculation completed in 00.004 seconds)

Credits

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PSG College of Technology (PSGCT), Coimbatore
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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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9 Fluid Parameters and Characteristics Calculators

Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation
Go Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder)
Freestream velocity for lift coefficient with tangential speed
Go Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder
Buoyant force acting on spherical ball
Go Buoyant Force on Spherical Ball in Water = Water Density*Acceleration Due to Gravity*Volume of Small Spherical Ball
Free Stream Velocity given Strouhal Number
Go Freestream Velocity of Fluid = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Strouhal Number
Frequency of vortex shedding
Go Frequency of Vortex Shedding = (Freestream Velocity of Fluid*Strouhal Number)/Diameter of Cylinder with Vortex
Strouhal number
Go Strouhal Number = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Freestream Velocity of Fluid
Freestream Velocity for single Stagnation Point
Go Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder)
Tangential velocity for single stagnation point
Go Tangential Velocity of Cylinder in Fluid = 2*Freestream Velocity of Fluid
Strouhal number for cylinders
Go Strouhal Number = 0.20*(1-(20/Reynolds Number))

Freestream velocity for lift coefficient with tangential speed Formula

Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder
V = (2*pi*vt)/C'

What is meant by tangential velocity?

Tangential velocity is the linear speed of any object moving along a circular path. A point on the outside edge of a turntable moves a greater distance in one complete rotation than a point near to the center.

What is lift coefficient?

The lift coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity, and an associated reference area.

How to Calculate Freestream velocity for lift coefficient with tangential speed?

Freestream velocity for lift coefficient with tangential speed calculator uses Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder to calculate the Freestream Velocity of Fluid, The Freestream velocity for lift coefficient with tangential speed formula is known while considering the ratio of the tangential velocity of the cylinder with two pi to the lift coefficient. Freestream Velocity of Fluid is denoted by V symbol.

How to calculate Freestream velocity for lift coefficient with tangential speed using this online calculator? To use this online calculator for Freestream velocity for lift coefficient with tangential speed, enter Tangential Velocity of Cylinder in Fluid (vt) & Lift Coefficient for Rotating Cylinder (C') and hit the calculate button. Here is how the Freestream velocity for lift coefficient with tangential speed calculation can be explained with given input values -> 21.52805 = (2*pi*43)/12.55.

FAQ

What is Freestream velocity for lift coefficient with tangential speed?
The Freestream velocity for lift coefficient with tangential speed formula is known while considering the ratio of the tangential velocity of the cylinder with two pi to the lift coefficient and is represented as V = (2*pi*vt)/C' or Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder. Tangential velocity of cylinder in fluid is the speed of the periphery of the cylinder rotating in the flowing fluid & Lift Coefficient for rotating cylinder relates the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area.
How to calculate Freestream velocity for lift coefficient with tangential speed?
The Freestream velocity for lift coefficient with tangential speed formula is known while considering the ratio of the tangential velocity of the cylinder with two pi to the lift coefficient is calculated using Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder. To calculate Freestream velocity for lift coefficient with tangential speed, you need Tangential Velocity of Cylinder in Fluid (vt) & Lift Coefficient for Rotating Cylinder (C'). With our tool, you need to enter the respective value for Tangential Velocity of Cylinder in Fluid & Lift Coefficient for Rotating Cylinder 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 Freestream Velocity of Fluid?
In this formula, Freestream Velocity of Fluid uses Tangential Velocity of Cylinder in Fluid & Lift Coefficient for Rotating Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder)
  • Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder)
  • Freestream Velocity of Fluid = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Strouhal Number
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