Concept explainers
To Find: The size of the gap.
Answer to Problem 89GP
The size of the gap (difference in radius) is
Explanation of Solution
Given info:
Initial temperature,
Final temperature,
Inside diameter of lid,
Coefficient of expansion for lid,
Coefficient of expansion for jar,
Initial length,
Formula used:
Write the expression for change in the length.
Convert the expression for change in length in terms circumference.
Here,
Calculation:
Calculate the change in diameter for the lid,
Thus, the change in the radius for the jar.
Calculate the change in diameter for the jar,
Thus, the change in the radius for the jar,
From these two radii,it can be easily found out the size of gap. Size of gap is also called difference in radius. So, calculate the size of gap as follows.
Conclusion:
Thus, the size of the gap (difference in radius) is
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