© 2022 by R. C. Hibbeler. Published by Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws
as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
1–1.
Represent each of the following quantities with combinations
of units in the correct SI form, using an appropriate prefix:
(a) km ms, (b) µkN, (c) mg ms 2, (d) µ N ⋅ km.
SOLUTION
km (103 ) m = 106 m > s = Mm > s
a) = ( ) Ans.
ms (10−3 ) s
b) µ kN = ( 10−6 )( 103 ) N = ( 10−3 ) N = mN Ans.
c)
mg
=
(10−3 ) g = (103 ) g = kg > s2
Ans.
( 10−3 ) s
2
ms2 s2
d) µ N ⋅ km = ( 10−6 ) N ( 103 ) m = ( 10−3 ) N ⋅ m = mN ⋅ m Ans.
Ans:
km
a) = Mm > s
ms
b) µ kN = mN
mg
c) = kg > s2
ms2
d) µ N ⋅ km = mN ⋅ m
1
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, ACCESS Test Bank for Fluid Mechanics 3rd Edition Hibbeler
© 2022 by R. C. Hibbeler. Published by Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws
as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
1–2.
1–2. Evaluate each of the following to three significant
figures, and express each answer in SI units using an
Evaluate each of the following to6 three significant figures,
appropriate prefix: (a) 34.86(10 )4 2 mm, (b) (348 mm)3,
and express each 2 answer in SI units using an appropriate
(c) (83 700 mN) .
prefix: (a) [4.86(106)]2 mm, (b) (348 ms)3, (c) (83 700 mm)2.
SOLUTION
a) 3 4.86 ( 106 ) 4 2 mm = 34.861106 24 2 110 - 3 m2 = 23.621109 2 m = 23.6 Gm Ans.
b) (348 ms)3 = 3 348 ( 10 - 3 ) s 4 3 = 42.14 ( 10 - 3 ) s 3 = 42.1110 - 3 2 s 3 Ans.
c) 183,700 mm2 2 = 3 83,700 ( 10 - 3 ) m 4 2 = 7.006 ( 103 ) m2 = 7.01(103 2 m2 Ans.
Ans:
a) 23.6 Gm
b) 42.1110 - 3 2 s 3
c) 7.01(103 2 m2
2
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, ACCESS Test Bank for Fluid Mechanics 3rd Edition Hibbeler
© 2022 by R. C. Hibbeler. Published by Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws
as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
1–3.
1–3. Evaluate each of the following to three significant figures,
and express each answer in SI units using an appropriate
Evaluate each of the following to three significant figures,
prefix: (a) 749 mm>63 ms, (b) (34 mm)(0.0763 Ms)>263 mg,
and express each answer in SI units using an appropriate
(c) (4.78 mm)(263 Mg).
prefix: (a) 749 m ̸ 63 ms, (b) (34 mm)(0.0763 Ms) ̸ 263 mg,
(c) (4.78 mm)(263 Mg).
SOLUTION
a) 749 mm>63 ms = 749 ( 10-6 ) m>63 ( 10-3 ) s = 11.88 ( 10-3 ) m>s
= 11.9 mm>s Ans.
b) (34 mm)(0.0763 Ms)>263 mg = 334110 2 m4 3 0.0763110 2s 4 > 3 263110 21103 2 g4
-3 6 -6
= 9.86 ( 106 ) m # s>kg = 9.86 Mm # s>kg Ans.
c) (4.78 mm)(263 Mg) = 3 4.78 ( 10 ) m 4 3 263 ( 10 ) g 4
-3 6
= 1.257 ( 106 ) g # m = 1.26 Mg # m Ans.
Ans:
a) 11.9 mm>s
b) 9.86 Mm # s>kg
c) 1.26 Mg # m
3
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, ACCESS Test Bank for Fluid Mechanics 3rd Edition Hibbeler
© 2022 by R. C. Hibbeler. Published by Pearson Education, Inc., Hoboken, NJ. All rights reserved. This material is protected under all copyright laws
as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
*1–4.
1–2. Evaluate each of the following to three signifi-
Evaluate each of the following(425 to mN)
three2,significant figures,
(b) (67 300 ms)2,
and express 6each
1>2 answer in SI units using an appropriate
(c) 3 723 ( 10 ) 4 mm.
prefix: (a) (425 mN)2, (b) (67 300 ms)2, (c) [723(106)]1/2 mm.
SOLUTION
a) (425 mN)2 = 3 425 ( 10-3 ) N 4 2 = 0.181 N2 Ans.
b) (67 300 ms) = 3 67.3 ( 10
2 3
)( 10 ) s 4 = 4.53 ( 10 ) s
-3 2 3 2
Ans.
c) 3 723 ( 106 ) 4 1>2 mm = 3 723 ( 106 ) 4 1>2 ( 10-3 ) m = 26.9 m Ans.
Ans:
a) 0.181 N2
b) 4.53 ( 103 ) s2
c) 26.9 m
4
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