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 1.0 mm radius are rising from a scuba diver to the surface of the sea. Assume a water temperature of 20 °C.
(a) If the viscosity of the water is 1.0 × 10−3 Pa·s, what is the terminal velocity of the bubbles?
(b) What is the largest rate of pressure change tolerable for the diver according to this rule?