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Radial velocity at any radius Formula

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Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point. Check FAQs

V r = \frac{q}{2 \cdot π \cdot r 1}

V_r - Radial Velocity?q - Strength of Source?r₁ - Radius 1?π - Archimedes' constant?

Radial velocity at any radius Example

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Here is how the Radial velocity at any radius equation looks like with Values.

Here is how the Radial velocity at any radius equation looks like with Units.

Here is how the Radial velocity at any radius equation looks like.

0.01 = \frac{1.5}{2 \cdot 3.1416 \cdot 23.8732}

0.01m/s = \frac{1.5m²/s}{2 \cdot 3.1416 \cdot 23.8732m}

0.01 = \frac{1.5}{2 \cdot 3.1416 \cdot 23.8732}

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Radial velocity at any radius Solution

Follow our step by step solution on how to calculate Radial velocity at any radius?

FIRST Step Consider the formula

V r = \frac{q}{2 \cdot π \cdot r 1}

Next Step Substitute values of Variables

∴

V r = \frac{1.5m²/s}{2 \cdot π \cdot 23.8732m}

Next Step Substitute values of Constants

∴

V r = \frac{1.5m²/s}{2 \cdot 3.1416 \cdot 23.8732m}

Next Step Prepare to Evaluate

∴

V r = \frac{1.5}{2 \cdot 3.1416 \cdot 23.8732}

Next Step Evaluate

∴

V r = 0.0100000006131486m/s

LAST Step Rounding Answer

∴

V r = 0.01m/s

Radial velocity at any radius Formula Elements

Variables

Constants

Radial Velocity

Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.

Symbol: V_r

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Radial Velocity

Strength of Source

The Strength of source, q is defined as the volume flow rate per unit depth of the fluid.

Symbol: q

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Strength of Source

Radius 1

Radius 1 is a radial line from the focus to any point of a curve for 1st Radius.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 1

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Incompressible Flow Characteristics category

Go Strength of source for radial velocity and at any radius

q = V r \cdot 2 \cdot π \cdot r 1

Go Radius at any point considering radial velocity

r 1 = \frac{q}{2 \cdot π \cdot V r}

Go Stream function at point

ψ = - (\frac{µ}{2 \cdot π}) \cdot (\frac{y}{(x^{2}) + (y^{2})})

Go Strength of doublet for stream function

µ = - \frac{ψ \cdot 2 \cdot π \cdot ((x^{2}) + (y^{2}))}{y}

How to Evaluate Radial velocity at any radius?

Radial velocity at any radius evaluator uses Radial Velocity = Strength of Source/(2*pi*Radius 1) to evaluate the Radial Velocity, Radial velocity at any radius in a flow field describes how quickly fluid is moving towards or away from the center, giving a clear picture of the flow without relying on specific equations. Radial Velocity is denoted by V_r symbol.

How to evaluate Radial velocity at any radius using this online evaluator? To use this online evaluator for Radial velocity at any radius, enter Strength of Source (q) & Radius 1 (r₁) and hit the calculate button.

FAQs on Radial velocity at any radius

What is the formula to find Radial velocity at any radius?

The formula of Radial velocity at any radius is expressed as Radial Velocity = Strength of Source/(2*pi*Radius 1). Here is an example- 0.019894 = 1.5/(2*pi*23.87324).

How to calculate Radial velocity at any radius?

With Strength of Source (q) & Radius 1 (r₁) we can find Radial velocity at any radius using the formula - Radial Velocity = Strength of Source/(2*pi*Radius 1). This formula also uses Archimedes' constant .

Can the Radial velocity at any radius be negative?

Yes, the Radial velocity at any radius, measured in Speed can be negative.

Which unit is used to measure Radial velocity at any radius?

Radial velocity at any radius 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 Radial velocity at any radius can be measured.

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