Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 8 - Further Applications of Integration - 8.3 Applications to Physics and Engineering - 8.3 Exercises - Page 605: 3


$7000$ lbs

Work Step by Step

Here, $A_i=2 \triangle x $ The depth of the plate is from $x=3$ to $x=3+8=11m $ and $F_i=P_iA_i=62.5 \times x_i \times 2 \triangle x $ Thus, $F=\lim\limits_{n \to \infty} \Sigma_{i=1}^n 62.5(x_i) \times 2 dx $ This gives: $F=(2) \int_3^{11} 62.5(x_i) \times 2 dx $ and $F=(62.5) |x^2|_3^{11}=62.5 \times (121-9)=7000$ lbs
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.