Surface Tension given Capillary Rise or Depression Calculator

✖Capillary Rise (or Depression) is the rise or fall in a liquid due to a net upward force produced by the attraction of the liquid molecules to a solid surface.ⓘ Capillary Rise (or Depression) [h_c]			+10% -10%
✖Specific Weight of Water in KN per cubic meter is the weight per unit volume of water.ⓘ Specific Weight of Water in KN per cubic meter [W]			+10% -10%
✖Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid.ⓘ Specific Gravity of Fluid [G_f]			+10% -10%
✖Radius of Tube is defined as the distance from longitudinal axis of tube to the periphery perpendicularly.ⓘ Radius of Tube [r_t]			+10% -10%
✖The Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.ⓘ Contact Angle [θ]			+10% -10%

✖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.ⓘ Surface Tension given Capillary Rise or Depression [σ]

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Formula

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Surface Tension given Capillary Rise or Depression

Formula

`"σ" = ("h"_{"c"}*"W"*"G"_{"f"}*"r"_{"t"}*1000)/(2*(cos("θ")))`

Example

`"106.6859N/m"=("0.0003m"*"9.81kN/m³"*"14"*"5.1m"*1000)/(2*(cos("10°")))`

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Surface Tension given Capillary Rise or Depression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Tension = (Capillary Rise (or Depression)*Specific Weight of Water in KN per cubic meter*Specific Gravity of Fluid*Radius of Tube*1000)/(2*(cos(Contact Angle)))
σ = (h_c*W*G_f*r_t*1000)/(2*(cos(θ)))
This formula uses 1 Functions, 6 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Surface Tension - (Measured in Newton per Meter) - 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.
Capillary Rise (or Depression) - (Measured in Meter) - Capillary Rise (or Depression) is the rise or fall in a liquid due to a net upward force produced by the attraction of the liquid molecules to a solid surface.
Specific Weight of Water in KN per cubic meter - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Water in KN per cubic meter is the weight per unit volume of water.
Specific Gravity of Fluid - Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid.
Radius of Tube - (Measured in Meter) - Radius of Tube is defined as the distance from longitudinal axis of tube to the periphery perpendicularly.
Contact Angle - (Measured in Radian) - The Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.

STEP 1: Convert Input(s) to Base Unit

Capillary Rise (or Depression): 0.0003 Meter --> 0.0003 Meter No Conversion Required
Specific Weight of Water in KN per cubic meter: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Specific Gravity of Fluid: 14 --> No Conversion Required
Radius of Tube: 5.1 Meter --> 5.1 Meter No Conversion Required
Contact Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (h_c*W*G_f*r_t*1000)/(2*(cos(θ))) --> (0.0003*9.81*14*5.1*1000)/(2*(cos(0.1745329251994)))

Evaluating ... ...

σ = 106.685898520436

STEP 3: Convert Result to Output's Unit

106.685898520436 Newton per Meter --> No Conversion Required

FINAL ANSWER

106.685898520436 ≈ 106.6859 Newton per Meter <-- Surface Tension

(Calculation completed in 00.004 seconds)

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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< 4 Surface Tension Calculators

Surface Tension given Capillary Rise or Depression

Go Surface Tension = (Capillary Rise (or Depression)*Specific Weight of Water in KN per cubic meter*Specific Gravity of Fluid*Radius of Tube*1000)/(2*(cos(Contact Angle)))

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Surface Tension given Capillary Rise or Depression Formula

What is Capillarity?

Capillary rise or capillarity is a phenomenon in which liquid spontaneously rises or falls in a narrow space such as a thin tube or in the voids of a porous material. Surface tension is an important factor in the phenomenon of capillarity. It can be either concave or convex, depending on the liquid and the surface.

How to Calculate Surface Tension given Capillary Rise or Depression?

Surface Tension given Capillary Rise or Depression calculator uses Surface Tension = (Capillary Rise (or Depression)*Specific Weight of Water in KN per cubic meter*Specific Gravity of Fluid*Radius of Tube*1000)/(2*(cos(Contact Angle))) to calculate the Surface Tension, The Surface Tension given Capillary Rise or Depression is defined as a function of Capillary Rise or depression, Specific Weight of Water, Specific Gravity of liquid, Contact angle and the Radius of the Tube. Surface Tension is denoted by σ symbol.

How to calculate Surface Tension given Capillary Rise or Depression using this online calculator? To use this online calculator for Surface Tension given Capillary Rise or Depression, enter Capillary Rise (or Depression) (h_c), Specific Weight of Water in KN per cubic meter (W), Specific Gravity of Fluid (G_f), Radius of Tube (r_t) & Contact Angle (θ) and hit the calculate button. Here is how the Surface Tension given Capillary Rise or Depression calculation can be explained with given input values -> 114.3063 = (0.0003*9810*14*5.1*1000)/(2*(cos(0.1745329251994))).

FAQ

What is Surface Tension given Capillary Rise or Depression?

The Surface Tension given Capillary Rise or Depression is defined as a function of Capillary Rise or depression, Specific Weight of Water, Specific Gravity of liquid, Contact angle and the Radius of the Tube and is represented as σ = (h_c*W*G_f*r_t*1000)/(2*(cos(θ))) or Surface Tension = (Capillary Rise (or Depression)*Specific Weight of Water in KN per cubic meter*Specific Gravity of Fluid*Radius of Tube*1000)/(2*(cos(Contact Angle))). Capillary Rise (or Depression) is the rise or fall in a liquid due to a net upward force produced by the attraction of the liquid molecules to a solid surface, Specific Weight of Water in KN per cubic meter is the weight per unit volume of water, Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid, Radius of Tube is defined as the distance from longitudinal axis of tube to the periphery perpendicularly & The Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.

How to calculate Surface Tension given Capillary Rise or Depression?

The Surface Tension given Capillary Rise or Depression is defined as a function of Capillary Rise or depression, Specific Weight of Water, Specific Gravity of liquid, Contact angle and the Radius of the Tube is calculated using Surface Tension = (Capillary Rise (or Depression)*Specific Weight of Water in KN per cubic meter*Specific Gravity of Fluid*Radius of Tube*1000)/(2*(cos(Contact Angle))). To calculate Surface Tension given Capillary Rise or Depression, you need Capillary Rise (or Depression) (h_c), Specific Weight of Water in KN per cubic meter (W), Specific Gravity of Fluid (G_f), Radius of Tube (r_t) & Contact Angle (θ). With our tool, you need to enter the respective value for Capillary Rise (or Depression), Specific Weight of Water in KN per cubic meter, Specific Gravity of Fluid, Radius of Tube & Contact Angle 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 Surface Tension?

In this formula, Surface Tension uses Capillary Rise (or Depression), Specific Weight of Water in KN per cubic meter, Specific Gravity of Fluid, Radius of Tube & Contact Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface Tension = Internal Pressure Intensity*Radius of Tube/2
Surface Tension = Internal Pressure Intensity*Radius of Tube/4
Surface Tension = Internal Pressure Intensity*Radius of Tube

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