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Cracking Your Knuckles When you “crack” a knuckle, you
Chapter 14, Problem 104GP(choose chapter or problem)
Problem 104GP
Cracking Your Knuckles When you “crack” a knuckle, you cause the knuckle cavity to widen rapidly. This, in turn, allows the synovial fluid to expand into a larger volume. If this expansion is sufficiently rapid, it causes a gas bubble to form in the fluid in a process known as cavitation. This is the mechanism responsible for the cracking sound. (Cavitation can also cause pits in rapidly rotating ship’s propellers.) If a “crack” produces a sound with an intensity level of 57 dB at your ear, which is 18 cm from the knuckle, how far from your knuckle can the “crack” be heard? Assume the sound propagates uniformly in all directions, with no reflections or absorption.
Questions & Answers
QUESTION:
Problem 104GP
Cracking Your Knuckles When you “crack” a knuckle, you cause the knuckle cavity to widen rapidly. This, in turn, allows the synovial fluid to expand into a larger volume. If this expansion is sufficiently rapid, it causes a gas bubble to form in the fluid in a process known as cavitation. This is the mechanism responsible for the cracking sound. (Cavitation can also cause pits in rapidly rotating ship’s propellers.) If a “crack” produces a sound with an intensity level of 57 dB at your ear, which is 18 cm from the knuckle, how far from your knuckle can the “crack” be heard? Assume the sound propagates uniformly in all directions, with no reflections or absorption.
ANSWER:
Step 1 of 5
Here the objective is to calculate the distance from the knuckle at which the crack can be heard under the given conditions.