PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
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 F/SCI.+ENGRS.,STAND.-W/ACCESS
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
Ch. 20 - Prob. 11PCh. 20 - Prob. 12PCh. 20 - Prob. 13PCh. 20 - Prob. 14PCh. 20 - Prob. 15PCh. 20 - Prob. 16PCh. 20 - Prob. 17PCh. 20 - Prob. 18PCh. 20 - Prob. 19PCh. 20 - Prob. 20PCh. 20 - Prob. 21PCh. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - Prob. 26PCh. 20 - Prob. 27PCh. 20 - Prob. 28PCh. 20 - Prob. 29PCh. 20 - Prob. 30PCh. 20 - Prob. 31PCh. 20 - Prob. 32PCh. 20 - Prob. 33PCh. 20 - Prob. 34PCh. 20 - Prob. 35PCh. 20 - Prob. 36PCh. 20 - Prob. 37PCh. 20 - Prob. 38PCh. 20 - Prob. 39PCh. 20 - Prob. 40PCh. 20 - Prob. 41PCh. 20 - Prob. 42PCh. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 45PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51PCh. 20 - Prob. 52PCh. 20 - Prob. 53PCh. 20 - Prob. 54PCh. 20 - Prob. 55PCh. 20 - Prob. 56PCh. 20 - Prob. 57PCh. 20 - Prob. 59P
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