Halliday, Resnick & Walker — Equilibrium and Elasticity: Problem Problem_76

Bandage pressure. Chronic venous leg ulcers are commonly treated with compression bandages. The pressure P of the bandage is given by the Laplace equation in which the surface tension T of the curved wall of a container depends on the wall’s radius of curvature R and the pressure P that the inward pull of the surface tension produces inside the wall. Here we write that equation as \( P = \frac{T}{R} \) where T is the surface tension of the bandage (force per unit length across the bandage) and R is the radius of curvature of the leg. The pressure value is important to maintain proper return of blood from the ankle without excessive pressure that can result in tissue damage. For \( T = 16 \text{ N/m} \) and the radius of curvature of the leg at mid-calf level, what is the pressure of a bandage in the physician commonly used pressure unit of mmHg (millimeters of mercury)?