College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.5 - Variation - 2.5 Assess Your Understanding - Page 193: 45

Answer

384 pounds per square inch

Work Step by Step

Let stress be S, internal pressure be P internal diameter of the pipe be D thickness of the pipe be T then $S = k\frac{PD}{T}$ S = 100, P = 25, D = 5 and T = 0.75 Putting the values in equation we get $100 = k \frac{25*5}{0.75}$ => $k = 0.6$ Find S when P = 40, D = 8 and T = 0.5 From equation $S = 0.6\frac{40*8}{0.5}$ S = 384 pounds per square inch
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