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A growing raindrop Suppose that a drop of mist is a
Chapter 3, Problem 30E(choose chapter or problem)
Problem 30E
A growing raindrop
Suppose that a drop of mist is a perfect
sphere and that, through condensation, the drop picks up moisture at a rate proportional to its surface area. Show that under these circumstances the drop’s radius increases at a constant rate.
Questions & Answers
QUESTION:
Problem 30E
A growing raindrop
Suppose that a drop of mist is a perfect
sphere and that, through condensation, the drop picks up moisture at a rate proportional to its surface area. Show that under these circumstances the drop’s radius increases at a constant rate.
ANSWER:
SOLUTION:
Step 1:
In this question, we have top show that when a spherical drop of mist picks up moisture proportional to its surface area, the drop’s radius increases at a constant rate.