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Radius of Capillary Tube Formula

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Radius of Capillary Tube is a radial line from the focus to any point of a curve. Check FAQs

r' = \frac{1}{2} \cdot {(\frac{128 \cdot μ \cdot Q \cdot L}{π \cdot ρ \cdot [g] \cdot h})}^{\frac{1}{4}}

r' - Radius of Capillary Tube?μ - Viscosity of Fluid?Q - Discharge in Capillary Tube?L - Length of Pipe?ρ - Density of Liquid?h - Difference in Pressure Head?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Radius of Capillary Tube Example

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Here is how the Radius of Capillary Tube equation looks like with Values.

Here is how the Radius of Capillary Tube equation looks like with Units.

Here is how the Radius of Capillary Tube equation looks like.

0.2046 = \frac{1}{2} \cdot {(\frac{128 \cdot 8.23 \cdot 2.75 \cdot 3}{3.1416 \cdot 984.6633 \cdot 9.8066 \cdot 10.21})}^{\frac{1}{4}}

0.2046m = \frac{1}{2} \cdot {(\frac{128 \cdot 8.23N*s/m² \cdot 2.75m³/s \cdot 3m}{3.1416 \cdot 984.6633kg/m³ \cdot 9.8066m/s² \cdot 10.21m})}^{\frac{1}{4}}

0.2046 = \frac{1}{2} \cdot {(\frac{128 \cdot 8.23 \cdot 2.75 \cdot 3}{3.1416 \cdot 984.6633 \cdot 9.8066 \cdot 10.21})}^{\frac{1}{4}}

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Radius of Capillary Tube Solution

Follow our step by step solution on how to calculate Radius of Capillary Tube?

FIRST Step Consider the formula

r' = \frac{1}{2} \cdot {(\frac{128 \cdot μ \cdot Q \cdot L}{π \cdot ρ \cdot [g] \cdot h})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

r' = \frac{1}{2} \cdot {(\frac{128 \cdot 8.23N*s/m² \cdot 2.75m³/s \cdot 3m}{π \cdot 984.6633kg/m³ \cdot [g] \cdot 10.21m})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

r' = \frac{1}{2} \cdot {(\frac{128 \cdot 8.23N*s/m² \cdot 2.75m³/s \cdot 3m}{3.1416 \cdot 984.6633kg/m³ \cdot 9.8066m/s² \cdot 10.21m})}^{\frac{1}{4}}

Next Step Convert Units

∴

r' = \frac{1}{2} \cdot {(\frac{128 \cdot 8.23Pa*s \cdot 2.75m³/s \cdot 3m}{3.1416 \cdot 984.6633kg/m³ \cdot 9.8066m/s² \cdot 10.21m})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

r' = \frac{1}{2} \cdot {(\frac{128 \cdot 8.23 \cdot 2.75 \cdot 3}{3.1416 \cdot 984.6633 \cdot 9.8066 \cdot 10.21})}^{\frac{1}{4}}

Next Step Evaluate

∴

r' = 0.204639719694124m

LAST Step Rounding Answer

∴

r' = 0.2046m

Radius of Capillary Tube Formula Elements

Variables

Constants

Radius of Capillary Tube

Radius of Capillary Tube is a radial line from the focus to any point of a curve.

Symbol: r'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Capillary Tube

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Discharge in Capillary Tube

Discharge in Capillary Tube is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge in Capillary Tube

Length of Pipe

Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Density of Liquid

Density of Liquid refers to its mass per unit volume. It is a measure of how tightly packed the molecules are within the liquid and is typically denoted by the symbol ρ (rho).

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Liquid

Difference in Pressure Head

The Difference in pressure head is considered in the practical application of Bernoulli's equation.

Symbol: h

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Difference in Pressure Head

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Dimensions and Geometry category

Go Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

d o = \frac{2 \cdot r}{\sqrt{1 - \frac{V}{V m}}}

Go Length for Difference of Pressure in Viscous Flow between Two Parallel Plates

L = \frac{Δp \cdot t^{2}}{12 \cdot μ \cdot V}

Go Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates

L = \frac{ρ \cdot [g] \cdot h f \cdot t^{2}}{12 \cdot μ \cdot V}

Go Diameter of Shaft for Torque Required in Foot-Step Bearing

D s = 2 \cdot {(\frac{τ \cdot t}{π^{2} \cdot μ \cdot N})}^{\frac{1}{4}}

How to Evaluate Radius of Capillary Tube?

Radius of Capillary Tube evaluator uses Radius of Capillary Tube = 1/2*((128*Viscosity of Fluid*Discharge in Capillary Tube*Length of Pipe)/(pi*Density of Liquid*[g]*Difference in Pressure Head))^(1/4) to evaluate the Radius of Capillary Tube, Radius of Capillary Tube typically refers to its internal radius, which can be calculated using the formula relating it to the surface tension of the liquid inside the tube, the contact angle between the liquid and the tube material, and the height of the liquid rise in the tube (if applicable). This calculation helps in understanding how capillary action behaves in the tube based on its dimensions and properties. Radius of Capillary Tube is denoted by r' symbol.

How to evaluate Radius of Capillary Tube using this online evaluator? To use this online evaluator for Radius of Capillary Tube, enter Viscosity of Fluid (μ), Discharge in Capillary Tube (Q), Length of Pipe (L), Density of Liquid (ρ) & Difference in Pressure Head (h) and hit the calculate button.

FAQs on Radius of Capillary Tube

What is the formula to find Radius of Capillary Tube?

The formula of Radius of Capillary Tube is expressed as Radius of Capillary Tube = 1/2*((128*Viscosity of Fluid*Discharge in Capillary Tube*Length of Pipe)/(pi*Density of Liquid*[g]*Difference in Pressure Head))^(1/4). Here is an example- 0.204004 = 1/2*((128*8.23*2.75*3)/(pi*984.6633*[g]*10.21))^(1/4).

How to calculate Radius of Capillary Tube?

With Viscosity of Fluid (μ), Discharge in Capillary Tube (Q), Length of Pipe (L), Density of Liquid (ρ) & Difference in Pressure Head (h) we can find Radius of Capillary Tube using the formula - Radius of Capillary Tube = 1/2*((128*Viscosity of Fluid*Discharge in Capillary Tube*Length of Pipe)/(pi*Density of Liquid*[g]*Difference in Pressure Head))^(1/4). This formula also uses Gravitational acceleration on Earth, Archimedes' constant .

Can the Radius of Capillary Tube be negative?

No, the Radius of Capillary Tube, measured in Length cannot be negative.

Which unit is used to measure Radius of Capillary Tube?

Radius of Capillary Tube is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Capillary Tube can be measured.

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Radius of Capillary Tube Formula

Radius of Capillary Tube Example

Radius of Capillary Tube Solution

Radius of Capillary Tube Formula Elements

Other formulas in Dimensions and Geometry category

How to Evaluate Radius of Capillary Tube?

FAQs on Radius of Capillary Tube

Variable Name