Lift Coefficient for Rotating Cylinder with Tangential Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lift Coefficient for Rotating Cylinder = (2*pi*Tangential Velocity of Cylinder in Fluid)/Freestream Velocity of Fluid
C' = (2*pi*vt)/V
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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.
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
Freestream Velocity of Fluid: 21.5 Meter per Second --> 21.5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C' = (2*pi*vt)/V --> (2*pi*43)/21.5
Evaluating ... ...
C' = 12.5663706143592
STEP 3: Convert Result to Output's Unit
12.5663706143592 --> No Conversion Required
FINAL ANSWER
12.5663706143592 12.56637 <-- Lift Coefficient for Rotating Cylinder
(Calculation completed in 00.004 seconds)

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16 Lift and Circulation Calculators

Lift Force for Body moving in Fluid
Go Lift Force on Body in Fluid = (Lift Coefficient for Body in Fluid*Projected Area of Body*Mass of Flowing Fluid*(Velocity of Body or Fluid^2))/(Volume of Flowing Fluid*2)
Circulation in Location of Stagnation Points
Go Circulation Around Cylinder = -(sin(Angle at Stagnation Point))*4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder
Lift coefficient for lift force in body moving on fluid
Go Lift Coefficient for Body in Fluid = Lift Force on Body in Fluid/(Projected Area of Body*0.5*Density of Fluid Circulating*(Velocity of Body or Fluid^2))
Lift Force for body moving in Fluid of Certain Density
Go Lift Force on Rotating Cylinder = Lift Coefficient for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2
Lift Force on Cylinder for Circulation
Go Lift Force on Rotating Cylinder = Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Circulation Around Cylinder*Freestream Velocity of Fluid
Angle of Attack for Circulation developed on Airfoil
Go Angle of Attack on Airfoil = asin(Circulation on Airfoil/(pi*Velocity of Airfoil*Chord Length of Airfoil))
Velocity of Airfoil for Circulation developed on Airfoil
Go Velocity of Airfoil = Circulation on Airfoil/(pi*Chord Length of Airfoil*sin(Angle of Attack on Airfoil))
Chord Length for Circulation developed on Airfoil
Go Chord Length of Airfoil = Circulation on Airfoil/(pi*Velocity of Airfoil*sin(Angle of Attack on Airfoil))
Circulation developed on Airfoil
Go Circulation on Airfoil = pi*Velocity of Airfoil*Chord Length of Airfoil*sin(Angle of Attack on Airfoil)
Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation
Go Radius of Rotating Cylinder = Circulation Around Cylinder/(Lift Coefficient for Rotating Cylinder*Freestream Velocity of Fluid)
Lift Coefficient for Rotating Cylinder with Circulation
Go Lift Coefficient for Rotating Cylinder = Circulation Around Cylinder/(Radius of Rotating Cylinder*Freestream Velocity of Fluid)
Tangential Velocity of Cylinder with Lift Coefficient
Go Tangential Velocity of Cylinder in Fluid = (Lift Coefficient for Rotating Cylinder*Freestream Velocity of Fluid)/(2*pi)
Lift Coefficient for Rotating Cylinder with Tangential Speed
Go Lift Coefficient for Rotating Cylinder = (2*pi*Tangential Velocity of Cylinder in Fluid)/Freestream Velocity of Fluid
Circulation for Single Stagnation Point
Go Circulation Around Cylinder = 4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder
Angle of Attack for Lift Coefficient on Airfoil
Go Angle of Attack on Airfoil = asin(Lift Coefficient for Airfoil/(2*pi))
Coefficient of Lift for Airfoil
Go Lift Coefficient for Airfoil = 2*pi*sin(Angle of Attack on Airfoil)

Lift Coefficient for Rotating Cylinder with Tangential Speed Formula

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

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 Lift Coefficient for Rotating Cylinder with Tangential Speed?

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

How to calculate Lift Coefficient for Rotating Cylinder with Tangential Speed using this online calculator? To use this online calculator for Lift Coefficient for Rotating Cylinder with Tangential Speed, enter Tangential Velocity of Cylinder in Fluid (vt) & Freestream Velocity of Fluid (V) and hit the calculate button. Here is how the Lift Coefficient for Rotating Cylinder with Tangential Speed calculation can be explained with given input values -> 12.56637 = (2*pi*43)/21.5.

FAQ

What is Lift Coefficient for Rotating Cylinder with Tangential Speed?
The Lift coefficient for rotating cylinder with tangential speed formula is known while considering the ratio of the tangential velocity of the cylinder with two pi to the freestream velocity and is represented as C' = (2*pi*vt)/V or Lift Coefficient for Rotating Cylinder = (2*pi*Tangential Velocity of Cylinder in Fluid)/Freestream Velocity of Fluid. Tangential velocity of cylinder in fluid is the speed of the periphery of the cylinder rotating in the flowing fluid & 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.
How to calculate Lift Coefficient for Rotating Cylinder with Tangential Speed?
The Lift coefficient for rotating cylinder with tangential speed formula is known while considering the ratio of the tangential velocity of the cylinder with two pi to the freestream velocity is calculated using Lift Coefficient for Rotating Cylinder = (2*pi*Tangential Velocity of Cylinder in Fluid)/Freestream Velocity of Fluid. To calculate Lift Coefficient for Rotating Cylinder with Tangential Speed, you need Tangential Velocity of Cylinder in Fluid (vt) & Freestream Velocity of Fluid (V). With our tool, you need to enter the respective value for Tangential Velocity of Cylinder in Fluid & Freestream Velocity of Fluid 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 Lift Coefficient for Rotating Cylinder?
In this formula, Lift Coefficient for Rotating Cylinder uses Tangential Velocity of Cylinder in Fluid & Freestream Velocity of Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Lift Coefficient for Rotating Cylinder = Circulation Around Cylinder/(Radius of Rotating Cylinder*Freestream Velocity of Fluid)
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