Chapter_1_solutions(3)

1-14

a = 1.500 0.001 in b = 2.000 0.003 in c = 3.000 0.004 in d = 6.520 0.010 in

(a) d b = 6.520 1.5 2 3 = 0.020 in tw tall= 0.001 + 0.003 + 0.004 +0.010 = 0.018

w = 0.020 0.018 in Ans. (b) From part (a), wmin = 0.002 in. Thus, must add 0.008 in to . Therefore,

= 6.520 + 0.008 = 6.528 in Ans.

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1-15 V = xyz, and x = a a, y = b b, z = c c, abc

V a a b b c c abc bc a ac b ab c a b c b c a c a b a b c

The higher order terms in are negligible. Thus,

V bc a ac b ab c

Vbc a ac b ab c a b c a b c

Ans.

abcabc

For the numerical values given, 1.500 1.875 3.000 8.4375in3

V0.0020.0030.004

0.004271.5001.8753.000

V 0.00427 8.4375 0.036in3

V = 8.438 0.036 in3 Ans.

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