(a)
The temperature at which the ring will slip over the rod.
(a)
Answer to Problem 17P
The temperature at which the ring will slip over the rod is
Explanation of Solution
Write the equation of new length.
Here,
Rewrite the equation (I) to express the temperature.
Conclusion:
Substitute,
Thus, the temperature at which the ring will slip over the rod is
(b)
The temperature at which the ring barely slips over the rod.
(b)
Answer to Problem 17P
The temperature at which the ring barely slips over the rod is
Explanation of Solution
Write the equation of new length at equilibrium for the aluminium and Brass.
Here,
Write the expression for the new length of the aluminium is,
Here,
Write the expression for the new length of the Brass is,
Here,
Rewrite the expression from equation (III) by using (IV) and (V).
Conclusion:
Substitute,
Thus, the temperature at which the ring barely slips over the rod is
(c)
The latter process will work or not.
(c)
Answer to Problem 17P
The latter process will not work.
Explanation of Solution
The latter process will not happen. The melting point of Aluminium is
Thus, at this calculated value of temperature, both aluminium and Brass will melt.
Therefore, the latter process will not work.
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Chapter 19 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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