Height of Capillary Rise or Fall Calculator

Calculate Height of Capillary Rise or Fall









Formula

The formula to calculate the Height of Capillary Rise or Fall (hc) is:

\[ h_c = \frac{4 \sigma \cos(\theta)}{\rho g d} \]

Definition

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

Surface Tension 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 the capillary tube which is introduced in the liquid.

Example Calculation

Let's assume the following values:

Using the formula:

\[ h_c = \frac{4 \times 72.75 \times \cos(0.2617993877991)}{997.3 \times 9.80665 \times 0.002} \approx 14.3701160959548 \]

The Height of Capillary Rise/Fall is approximately 14.3701160959548 m.

Conversion Chart

Surface Tension (N/m) Angle of Contact (rad) Density (kg/m³) Diameter of Tube (m) Height of Capillary Rise/Fall (m)
70 0.2617993877991 997.3 0.002 13.82691583115922
70.5 0.2617993877991 997.3 0.002 13.92567951566750
71 0.2617993877991 997.3 0.002 14.02444320017578
71.5 0.2617993877991 997.3 0.002 14.12320688468406
72 0.2617993877991 997.3 0.002 14.22197056919234
72.5 0.2617993877991 997.3 0.002 14.32073425370062
73 0.2617993877991 997.3 0.002 14.41949793820890
73.5 0.2617993877991 997.3 0.002 14.51826162271718
74 0.2617993877991 997.3 0.002 14.61702530722546
74.5 0.2617993877991 997.3 0.002 14.71578899173374
75 0.2617993877991 997.3 0.002 14.81455267624202