Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 7 - Section 7.4 - Inverse Variation - Exercises - Page 288: 44

Answer

$$200\ in .$$

Work Step by Step

The lever priciple states that $$F_1d_1=F_2d_2.$$ Making use of the fact that $1~ton =2000~lb$, we convert $3~tons$ into $3*2000=6000~lb$. Then, we plug in the given values to get: $$ 6000\times 11=330\times x\Longrightarrow x=\frac{ 6000\times 11 }{330}=200\ in .$$
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