Scuba divers are admonished not to rise faster than their air bubbles when rising to the surface. This rule helps them avoid the rapid pressure changes that cause the “bends.” Air bubbles of 1.24 mm radius are rising from a scuba diver to the surface of the sea. Density of water is 1.025 × 103 kg/m3 and density of air is 1.20 kg/m3. What is the largest rate of pressure change tolerable for the diver according to this rule?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
Scuba divers are admonished not to rise faster than their air bubbles when rising to the surface. This rule helps them avoid the rapid pressure changes that cause the “bends.” Air bubbles of 1.24 mm radius are rising from a scuba diver to the surface of the sea. Density of water is 1.025 × 103 kg/m3 and density of air is 1.20 kg/m3.
What is the largest rate of pressure change tolerable for the diver according to this rule?
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