Tensão Superficial (Jurin)

The Surface Tension Calculator (Jurin) determines the height a liquid rises or falls in a capillary tube using Jurin's equation. The formula is h = 2γ cosθ / (ρ g r), where h is the column height, γ is surface tension, θ is the contact angle, ρ is liquid density, g is gravity, and r is tube radius. This tool is useful for students and professionals studying capillary phenomena.

The calculator works by letting you input values for surface tension, contact angle, density, gravity, and tube radius. The result is the height predicted by Jurin's equation. Note that the equation assumes a cylindrical tube and ideal conditions, such as homogeneous liquid and clean surface. Small variations in parameters can significantly affect the result.

Use this calculator in scenarios like: studying water rise in porous soil, analyzing capillary action in plants, or designing microfluidic devices. It's also helpful in chemistry and physics labs to experimentally verify surface tension of liquids. Remember that the contact angle depends on the interaction between liquid and tube material.

Common precautions: ensure units are consistent (use SI: N/m for tension, kg/m³ for density, m for radius). The contact angle should be in radians or degrees, but the calculator typically expects degrees. Verify that the liquid is pure and the tube is clean, as impurities alter surface tension and contact angle.