Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 20, Problem 52P
(a)
To determine
To show that
(a)
Expert Solution
Explanation of Solution
Introduction:
The difference between the two lengths are constant if the length
Write expression for change in length.
Write expression for linear expansion.
Solve above expression.
Substitute
Conclusion:
Thus, the equation is proved.
(b)
To determine
The value of
(b)
Expert Solution
Explanation of Solution
Given:
The material A is brass.
The material B is steel.
The value of
Formula used:
Write expression for change in length.
Write expression for linear expansion.
Solve above expression.
Substitute
Solve above expression.
Calculation:
Substitute
Conclusion:
Thus, the value of
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A student foolishly attempts to stop a steel bar, of length L = 1 m and at a temperature of 20ºC, from thermally expanding by attaching it to a wooden support with a nail at each end. Steel's Young's modulus is Y = 2.7 × 1011 N/m2 and it's linear thermal expansion coefficient is α = 12.9 × 10-6 1/C. Randomized Variables
Y = 2.7 × 1011 N/m2α = 12.9 × 10-6 1/C
a. Enter an expression, in terms of defined variables, for the stress, S, that each nail will need to sustain at a temperature Ts.
A student foolishly attempts to stop a steel bar, of length L = 1 m and at a temperature of 20ºC, from thermally expanding by attaching it to a wooden support with a nail at each end. Steel's Young's modulus is Y = 2.7 × 1011 N/m2 and it's linear thermal expansion coefficient is α = 12.9 × 10-6 1/C.
Randomized Variables
Y = 2.7 × 1011 N/m2α = 12.9 × 10-6 1/C
a. Enter an expression, in terms of defined variables, for the stress, S, that each nail will need to sustain at a temperature Ts.
b. What is the value of the stress, in pascals, that develops due to a rise of temperature to 21ºC?
c. Assuming the nails have a cross-sectional area of A = 10-5 m2 all of which is perpendicular to the stress force from the bar, what is the force acting on each due to that temperature rise?
Chapter 20 Solutions
Physics for Scientists and Engineers
Ch. 20 - Prob. 1PCh. 20 - Prob. 2PCh. 20 - Prob. 3PCh. 20 - Prob. 4PCh. 20 - Prob. 5PCh. 20 - Prob. 6PCh. 20 - Prob. 7PCh. 20 - Prob. 8PCh. 20 - Prob. 9PCh. 20 - Prob. 10P
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