## Height of Capillary Rise or Fall Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube)
hc = 4*σ*cos(θ)/(ρ*[g]*d)
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Height of Capillary Rise/Fall - (Measured in Meter) - The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube.
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.
Angle of Contact between Liquid and Capillary Tube - (Measured in Radian) - 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.
Density - (Measured in Kilogram per Cubic Meter) - 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.
Diameter of Tube - (Measured in Meter) - The Diameter of Tube is the diameter of capillary tube which is introduced in the liquid.
STEP 1: Convert Input(s) to Base Unit
Surface Tension: 72.75 Newton per Meter --> 72.75 Newton per Meter No Conversion Required
Angle of Contact between Liquid and Capillary Tube: 15 Degree --> 0.2617993877991 Radian (Check conversion here)
Density: 997.3 Kilogram per Cubic Meter --> 997.3 Kilogram per Cubic Meter No Conversion Required
Diameter of Tube: 0.002 Meter --> 0.002 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hc = 4*σ*cos(θ)/(ρ*[g]*d) --> 4*72.75*cos(0.2617993877991)/(997.3*[g]*0.002)
Evaluating ... ...
hc = 14.3701160959548
STEP 3: Convert Result to Output's Unit
14.3701160959548 Meter --> No Conversion Required
14.3701160959548 Meter <-- Height of Capillary Rise/Fall
(Calculation completed in 00.016 seconds)
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Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
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## < 9 Basic Formulas Calculators

Hydrostatic Force on Curved Submerged Surface
Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2)
Height of Capillary Rise or Fall
Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube)
Viscosity using Viscometer
Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder))
Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g])
Shear Force acting on Newtonian Fluid Layer
Shear Force = (Dynamic Viscosity*Contact Area*Velocity of Fluid)/(Distance Between Two Plates)
Hydrostatic Force on Horizontal Plane Submerged Surface
Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area
Discharge Rate of Liquid from Orifice in Tank
Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank))
Momentum Diffusivity
Momentum Diffusivity = Dynamic Viscosity/Density
Fanning Friction Factor using Darcy Friction Factor
Fanning Friction Factor = Darcy Friction Factor/4

## Height of Capillary Rise or Fall Formula

Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube)
hc = 4*σ*cos(θ)/(ρ*[g]*d)

## What is capillary action?

Capillary action (sometimes capillarity, capillary motion, capillary effect, or wicking) is the ability of a liquid to flow in narrow spaces without the assistance of, or even in opposition to, external forces like gravity.

## How to Calculate Height of Capillary Rise or Fall?

Height of Capillary Rise or Fall calculator uses Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube) to calculate 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 hc symbol.

How to calculate Height of Capillary Rise or Fall using this online calculator? To use this online calculator 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. Here is how the Height of Capillary Rise or Fall calculation can be explained with given input values -> 14.37012 = 4*72.75*cos(0.2617993877991)/(997.3*[g]*0.002).

### FAQ

What is Height of Capillary Rise or 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 and is represented as hc = 4*σ*cos(θ)/(ρ*[g]*d) or Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube). 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, 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, 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 & The Diameter of Tube is the diameter of capillary tube which is introduced in the liquid.
How to calculate Height of Capillary Rise or 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 is calculated using Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube). To calculate Height of Capillary Rise or Fall, you need Surface Tension (σ), Angle of Contact between Liquid and Capillary Tube (θ), Density (ρ) & Diameter of Tube (d). With our tool, you need to enter the respective value for Surface Tension, Angle of Contact between Liquid and Capillary Tube, Density & Diameter of Tube and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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