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Height of Capillary Rise or Fall Formula

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The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube. Check FAQs

h c = 4 \cdot σ \cdot \frac{\cos (θ)}{ρ \cdot [g] \cdot d}

h_c - Height of Capillary Rise/Fall?σ - Surface Tension?θ - Angle of Contact between Liquid and Capillary Tube?ρ - Density?d - Diameter of Tube?[g] - Gravitational acceleration on Earth?

Height of Capillary Rise or Fall Example

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Here is how the Height of Capillary Rise or Fall equation looks like with Values.

Here is how the Height of Capillary Rise or Fall equation looks like with Units.

Here is how the Height of Capillary Rise or Fall equation looks like.

14.3701 = 4 \cdot 72.75 \cdot \frac{\cos (15)}{997.3 \cdot 9.8066 \cdot 0.002}

14.3701m = 4 \cdot 72.75N/m \cdot \frac{\cos (15°)}{997.3kg/m³ \cdot 9.8066m/s² \cdot 0.002m}

14.3701 = 4 \cdot 72.75 \cdot \frac{\cos (15)}{997.3 \cdot 9.8066 \cdot 0.002}

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Height of Capillary Rise or Fall Solution

Follow our step by step solution on how to calculate Height of Capillary Rise or Fall?

FIRST Step Consider the formula

h c = 4 \cdot σ \cdot \frac{\cos (θ)}{ρ \cdot [g] \cdot d}

Next Step Substitute values of Variables

∴

h c = 4 \cdot 72.75N/m \cdot \frac{\cos (15°)}{997.3kg/m³ \cdot [g] \cdot 0.002m}

Next Step Substitute values of Constants

∴

h c = 4 \cdot 72.75N/m \cdot \frac{\cos (15°)}{997.3kg/m³ \cdot 9.8066m/s² \cdot 0.002m}

Next Step Convert Units

∴

h c = 4 \cdot 72.75N/m \cdot \frac{\cos (0.2618rad)}{997.3kg/m³ \cdot 9.8066m/s² \cdot 0.002m}

Next Step Prepare to Evaluate

∴

h c = 4 \cdot 72.75 \cdot \frac{\cos (0.2618)}{997.3 \cdot 9.8066 \cdot 0.002}

Next Step Evaluate

∴

h c = 14.3701160959548m

LAST Step Rounding Answer

∴

h c = 14.3701m

Height of Capillary Rise or Fall Formula Elements

Variables

Constants

Functions

Height of Capillary Rise/Fall

The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of Capillary Rise/Fall

Surface Tension

Surface tension is a word that is linked to the liquid surface. It is a physical property of liquids, in which the molecules are drawn onto every side.

Symbol: σ

Measurement: Surface TensionUnit: N/m

Note: Value can be positive or negative.

Formulas to find Surface Tension

Angle of Contact between Liquid and Capillary Tube

The Angle of Contact between Liquid and Capillary Tube is the angle given in radians between the liquid level in a capillary tube and the surface of the capillary tube.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Contact between Liquid and Capillary Tube

Density

Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Diameter of Tube

The Diameter of Tube is the diameter of capillary tube which is introduced in the liquid.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Tube

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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How to Evaluate Height of Capillary Rise or Fall?

Height of Capillary Rise or Fall evaluator uses Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube) to evaluate the Height of Capillary Rise/Fall, Height of Capillary Rise or Fall is, when a capillary tube is inserted into a liquid, the liquid will rise or fall in the tube, due to an imbalance in pressure. The characteristic height is the distance from the bottom of the meniscus to the base, and exists when the Laplace pressure and the pressure due to gravity are balanced. Height of Capillary Rise/Fall is denoted by h_c symbol.

How to evaluate Height of Capillary Rise or Fall using this online evaluator? To use this online evaluator for Height of Capillary Rise or Fall, enter Surface Tension (σ), Angle of Contact between Liquid and Capillary Tube (θ), Density (ρ) & Diameter of Tube (d) and hit the calculate button.

FAQs on Height of Capillary Rise or Fall

What is the formula to find Height of Capillary Rise or Fall?

The formula of Height of Capillary Rise or Fall is expressed as Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube). Here is an example- 14.37012 = 4*72.75*cos(0.2617993877991)/(997.3*[g]*0.002).

How to calculate Height of Capillary Rise or Fall?

With Surface Tension (σ), Angle of Contact between Liquid and Capillary Tube (θ), Density (ρ) & Diameter of Tube (d) we can find Height of Capillary Rise or Fall using the formula - Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Height of Capillary Rise or Fall be negative?

Yes, the Height of Capillary Rise or Fall, measured in Length can be negative.

Which unit is used to measure Height of Capillary Rise or Fall?

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

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Height of Capillary Rise or Fall Formula

Height of Capillary Rise or Fall Example

Height of Capillary Rise or Fall Solution

Height of Capillary Rise or Fall Formula Elements

Other formulas in Basic Formulas category

How to Evaluate Height of Capillary Rise or Fall?

FAQs on Height of Capillary Rise or Fall

Variable Name