Problems & Exercises

1.

$2.78 cm 3 /s 2.78 cm 3 /s$

3.

27 cm/s

5.

(a) 0.75 m/s

(b) 0.13 m/s

7.

(a) $40.0cm240.0cm2$

(b) $5.09×1075.09×107$

9.

(a) 22 h

(b) 0.016 s

11.

(a) 12.6 m/s

(b) $0.0800m3/s0.0800m3/s$

(c) No, independent of density.

13.

(a) 0.402 L/s

(b) 0.584 cm

15.

(a) $127 cm 3 /s 127 cm 3 /s$

(b) 0.890 cm

17.

$P = Force Area , ( P ) units = N/m 2 = N ⋅ m/m 3 = J/m 3 = energy/volume P = Force Area , ( P ) units = N/m 2 = N ⋅ m/m 3 = J/m 3 = energy/volume$

19.

184 mm Hg

21.

$2 . 54 × 10 5 N 2 . 54 × 10 5 N$

23.

(a) $1.58×106 N/m21.58×106 N/m2$

(b) 163 m

25.

(a) $9.56×108W9.56×108W$

(b) 1.4

27.

1.26 W

29.

(a) $3.02×10−3 N3.02×10−3 N$

(b) $1.03×10−31.03×10−3$

31.

$1 . 60 cm 3 /min 1 . 60 cm 3 /min$

33.

$8.7 × 10 − 11 m 3 /s 8.7 × 10 − 11 m 3 /s$

35.

0.316

37.

(a) 1.52

(b) Turbulence will decrease the flow rate of the blood, which would require an even larger increase in the pressure difference, leading to higher blood pressure.

39.
$225 mPa ⋅ s 225 mPa ⋅ s$
41.
$0 . 138 Pa ⋅ s, 0 . 138 Pa ⋅ s,$

or

Olive oil.

43.

(a) $1.62×104 N/m21.62×104 N/m2$

(b) $0.111 cm3/s0.111 cm3/s$

(c)10.6 cm

45.

1.59

47.

$2.95×106 N/m22.95×106 N/m2$(gauge pressure)

51.

$N R = 1.99 × 10 2 < 2000 N R = 1.99 × 10 2 < 2000$

53.

(a) nozzle: $1.27×1051.27×105$ , not laminar

(b) hose: $3.51×1043.51×104$, not laminar.

55.

2.54 << 2000, laminar.

57.

1.02 m/s

$1.28 × 10 –2 L/s 1.28 × 10 –2 L/s$

59.

(a)$≥ 13.0 m≥ 13.0 m$

(b) $2.68×10−6 N/m22.68×10−6 N/m2$

61.

(a) 23.7 atm or $344 lb/in2344 lb/in2$

(b) The pressure is much too high.

(c) The assumed flow rate is very high for a garden hose.

(d) $5.27×1065.27×106$ > > 3000, turbulent, contrary to the assumption of laminar flow when using this equation.

62.

$1 . 41 × 10 − 3 m 1 . 41 × 10 − 3 m$

64.

$1 . 3 × 10 2 s 1 . 3 × 10 2 s$

66.

0.391 s

Test Prep for AP® Courses

1.

(c)

3.

(a)

5.

(a)

7.

(a)

9.

(d)

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