University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 1 - Units, Physical Quantities, and Vectors - Problems - Exercises - Page 30: 1.50

Answer

(a) There are 640 acres in a square mile. (b) There 43,560 sq ft in an acre. (c) There are $3.26 \times 10^5$ gallons in an acre.

Work Step by Step

It is known that 1 mile = 5280 feet and that 1 cubic foot = 7.477 gallons. (a) The area of one acre is $\frac{1}{8}$ miles $\times \frac{1}{80}$miles = $\frac{1}{640}$ square miles. (b) If 1 acre is 640 square miles, and 1 mile is 5280 feet, then clearly, 1 acre is $\frac{(5280)^2}{640} = 43,560$ sq ft. (c) 1 acre-foot = $(43560 ft^3)\times(\frac{7.477 gal}{1ft^3}) = 3.26 \times 10^5 gal $
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