Concept explainers
(a)
The speed of the one dimensional compression wave.
(a)
Answer to Problem 17.59AP
The speed of the one dimensional compression wave is
Explanation of Solution
Given info: The young’s modulus of steel is
Write the expression to calculate the speed of the one dimensional compression wave.
Here,
Substitute
Conclusion:
Therefore the speed of the one dimensional compression wave is
(b)
The time interval of the wave.
(b)
Answer to Problem 17.59AP
The time interval of the wave is
Explanation of Solution
Given info: The young’s modulus of steel is
Write the expression to calculate time interval of the wave.
Here,
Substitute
Conclusion:
Therefore the time interval of the wave is
(c)
The distance of the travel by the back end of the rod.
(c)
Answer to Problem 17.59AP
The distance of the travel by the back end of the rod is
Explanation of Solution
Given info: The young’s modulus of steel is
The expression for the distance of the travel by the back end of the rod.
Here,
Substitute
Conclusion:
Therefore the distance of the travel by the back end of the rod is
(d)
The strain in the rod.
(d)
Answer to Problem 17.59AP
The strain in the rod is
Explanation of Solution
Given info: The young’s modulus of steel is
The expression for the strain in the rod.
Here,
Substitute
Conclusion:
Therefore the strain in the rod is
(e)
The stress in the rod.
(e)
Answer to Problem 17.59AP
The stress in the rod is
Explanation of Solution
Given info: The young’s modulus of steel is
The expression for the stress in the rod is
Substitute
Conclusion:
Therefore the stress in the rod is
(f)
The maximum impact speed of the rod in terms of
(f)
Answer to Problem 17.59AP
The maximum impact speed of the rod in terms of
Explanation of Solution
Given info: The young’s modulus of steel is
The expression for time is,
Substitute
Thus the time is
The expression for change in length is,
The expression for the maximum impact speed of the rod is,
Substitute
Conclusion:
Therefore the maximum impact speed of the rod in terms of
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Chapter 17 Solutions
Physics for Scientists and Engineers
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