HEAT&MASS TRANSF. (LL) W/CONNECT<CUSTOM>
6th Edition
ISBN: 9781266141652
Author: CENGEL
Publisher: MCG
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Which of the following sequences converge and which diverge?
20) an
=
21) a =
n!
106
1/(Inn)
3n+1
"
22) a =
3n-1
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23) a =
, x>0
2n+1
3" x 6"
24) an
25) a, = tanh(n)
=
2" xn!
n²
1
26) a =
sin
2n-1
n
27) a = tan(n)
1
28) a =
1
3
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(Inn) 200
2"
29) an
n
30)
=n-√√n²-n
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31) a ==
dx
nix
Which of the following sequences converge and which diverge?
n+1
6)
a =
1-
2n
(-1)+1
7)
a =
2n-1
2n
8)
an
=
n+1
1
9)
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+
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n
sin n
10) a =
n
11) an
=
12) a =
13) an
14) an
15) an
16) an
n
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= 81/n
n
n
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=
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In n
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18) a =√4"n
Qu 3 Nickel (Ni) single crystal turbine blades burn less fuel at higher temperatures because blades are grown on [110] closed packed direction. Nickel (Ni) at 20°C is FCC, and has an atomic radius, R, of 0.125 nm. Draw a reduced-sphere unit cell for this crystal and draw and label the vector [I 10], starting from the origin (0, 0, 0).
a) Calculate the length of the vector [| 10] in nanometers. Express your answer in nanometers to one significant figure.
b) Calculate the linear density of Nickel in the [| 1 0] direction in [atom/nm]. Express your answer in atoms/nm to one significant figure.
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- handwritten-solutions, please!arrow_forwardhandwritten-solutions, please!arrow_forwardRequired information An eccentric force P is applied as shown to a steel bar of 25 × 90-mm cross section. The strains at A and B have been measured and found to be εΑ = +490 μ εB=-70 μ Know that E = 200 GPa. 25 mm 30 mm 90 mm 45 mm B Determine the distance d. The distance dis 15 mm mm.arrow_forward
- handwritten-solutions, please!arrow_forwardhandwritten-solutions, please!arrow_forward! Required information Assume that the couple shown acts in a vertical plane. Take M = 25 kip.in. r = 0.75 in. A B 4.8 in. M 1.2 in. [1.2 in. Determine the stress at point B. The stress at point B is ksi.arrow_forward
- Problem 6 (Optional, extra 6 points) 150 mm 150 mm 120 mm 80 mm 60 mm PROBLEM 18.103 A 2.5 kg homogeneous disk of radius 80 mm rotates with an angular velocity ₁ with respect to arm ABC, which is welded to a shaft DCE rotating as shown at the constant rate w212 rad/s. Friction in the bearing at A causes ₁ to decrease at the rate of 15 rad/s². Determine the dynamic reactions at D and E at a time when ₁ has decreased to 50 rad/s. Answer: 5=-22.01 +26.8} N E=-21.2-5.20Ĵ Narrow_forwardProblem 1. Two uniform rods AB and CE, each of weight 3 lb and length 2 ft, are welded to each other at their midpoints. Knowing that this assembly has an angular velocity of constant magnitude c = 12 rad/s, determine: (1). the magnitude and direction of the angular momentum HD of the assembly about D. (2). the dynamic reactions (ignore mg) at the bearings at A and B. 9 in. 3 in. 03 9 in. 3 in. Answers: HD = 0.162 i +0.184 j slug-ft²/s HG = 2.21 k Ay =-1.1 lb; Az = 0; By = 1.1 lb; B₂ = 0.arrow_forwardProblem 5 (Optional, extra 6 points) A 6-lb homogeneous disk of radius 3 in. spins as shown at the constant rate w₁ = 60 rad/s. The disk is supported by the fork-ended rod AB, which is welded to the vertical shaft CBD. The system is at rest when a couple Mo= (0.25ft-lb)j is applied to the shaft for 2 s and then removed. Determine the dynamic reactions at C and D before and after the couple has been removed at 2 s. 4 in. C B Mo 5 in 4 in. Note: 2 rotating around CD induced by Mo is NOT constant before Mo is removed. and ₂ (two unknowns) are related by the equation: ₂ =0+ w₂t 3 in. Partial Answer (after Mo has been removed): C-7.81+7.43k lb D -7.81 7.43 lbarrow_forward
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