Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 1, Problem 43QTP
To determine
The unit cells shown in Figs. 1.3-1.5 can be represented by tennis balls arranged in various configurations in a box. In such an arrangement, the atomic packing factor (APF) is defined as the ratio of the sum of the volumes of the atoms to the volume of the unit cell. Show that the APF is
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Assume we have to accommodate 18 million books, each of which has 1 billion characters. If each character can be written using 100atoms, and if the bulk atoms can be used, calculate the size of an object (in nanometers) that can accommodate all the 18 million books. Assume one atom occupies a space which is 0.25 nm in size
Vanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole.
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Chapter 1 Solutions
Manufacturing Engineering & Technology
Ch. 1 - What is the difference between an atom and a...Ch. 1 - Prob. 2RQCh. 1 - Prob. 3RQCh. 1 - Prob. 4RQCh. 1 - Define anisotropy. What is its significance?Ch. 1 - What effects does recrystallization have on the...Ch. 1 - What is strain hardening, and what effects does it...Ch. 1 - Explain what is meant by structure-sensitive and...Ch. 1 - Prob. 9RQCh. 1 - What influence does grain size have on the...
Ch. 1 - What is the relationship between the nucleation...Ch. 1 - What is a slip system, and what is its...Ch. 1 - Explain the difference between recovery and...Ch. 1 - What is hot shortness, and what is its...Ch. 1 - Explain the advantages and limitations of cold,...Ch. 1 - Describe what the orange peel effect is. Explain...Ch. 1 - Some metals, such as lead, do not become stronger...Ch. 1 - Describe the difference between preferred...Ch. 1 - Differentiate between stress relaxation and stress...Ch. 1 - What is twinning? How does it differ from slip?Ch. 1 - Prob. 21QLPCh. 1 - What is the significance of the fact that some...Ch. 1 - Is it possible for two pieces of the same metal to...Ch. 1 - Prob. 24QLPCh. 1 - A cold-worked piece of metal has been...Ch. 1 - What materials and structures can you think of...Ch. 1 - Two parts have been made of the same material, but...Ch. 1 - Do you think it might be important to know whether...Ch. 1 - Explain why the strength of a polycrystalline...Ch. 1 - Describe the technique you would use to reduce the...Ch. 1 - What is the significance of the fact that such...Ch. 1 - Prob. 32QLPCh. 1 - It has been noted that the more a metal has been...Ch. 1 - Is it possible to cold work a metal at...Ch. 1 - Comment on your observations regarding Fig. 1.14.Ch. 1 - Is it possible for a metal to be completely...Ch. 1 - Prob. 37QTPCh. 1 - Prob. 38QTPCh. 1 - Plot the data given in Table 1.1 in terms of...Ch. 1 - A strip of metal is reduced from 30 mm in...Ch. 1 - Prob. 41QTPCh. 1 - How many grains are there on the surface of the...Ch. 1 - Prob. 43QTPCh. 1 - Prob. 44QTPCh. 1 - Prob. 45QTPCh. 1 - A technician determines that the grain size of a...Ch. 1 - If the diameter of the aluminum atom is 0.28 nm,...Ch. 1 - The following data are obtained in tension tests...Ch. 1 - Prob. 50QTPCh. 1 - Prob. 51QTPCh. 1 - Prob. 52QTPCh. 1 - Same as Prob. 1.39, but ASTM no. versus...Ch. 1 - By stretching a thin strip of polished metal, as...Ch. 1 - Draw some analogies to mechanical fiberingfor...Ch. 1 - Draw some analogies to the phenomenon of hot...Ch. 1 - Take a deck of playing cards, place a rubber band...Ch. 1 - Give examples in which anisotropy is scale...Ch. 1 - The movement of an edge dislocation was described...
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- Sodium chloride (NaCl) has the rock salt crystal structure and a density of 2.17 g/cm³. The atomic weights of sodium and chlorine are 22.99 g/mol and 35.45 g/mol, respectively. (a) Determine the unit cell edge length. nm (b) Determine the unit cell edge length from the radii in the table below assuming that the Nat and Cl- ions just touch each other along the edges. nm Cation Mg2+ Fe2+ Na+ Ionic Radius (nm) 0.072 0.077 0.102 Anion Ionic Radius (nm) CI- 0²- 0.181 0.140arrow_forwardConsider two hypothetical metallic crystal structures A and B. A has an fcc and B a bcc lattice structure. Both have the same unit cell volume. The Atomic Packing Factor for A is 0.740 and that for B is 0.680. What is the ratio of the fcc to bcc atomic radii? (This question has only one correct answer) a. 0.82 b. 0.63 c. 0.92 d. 0.44 e. 1.21 Clear my choicearrow_forwardBCC Crystal Structure 1. Proof that for a Body-Centered-Cube Crystal Structure (BCC): 4 R a = V3 Where, "a" is the cube edge length. "R" is atomic radius. 2. Compute the volume of a BCC unit cell (Vc) in terms of the Atomic radius R. 3. Proof that the BCC crystal structure atomic packing factor is equivalent to 0.68arrow_forward
- Vanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm3? Given: Avogadro’s Number NA = 0.6023 × 1024 (atoms/mole) Select one: a. 1.5 b. 0.021 c. 0.011 d. 0.0087 e. 0.00597arrow_forwardthe answer should be equal to 0.842arrow_forward1- The density of the elemental magnesium crystal structure, which is in the face centered cubic structure, is 1,738 g / cm3. Specify the side lengths of the crystal lattice. 2-Polonium is an element with a simple cubic crystal arrangement. Find the radius of the polonium atoms in this structure with a density of 9.4 g / cm3 and a weight of 209 g / atom. 3- A wire with a diameter of 9.6 mm is pulled with a force of 18,000 N. With this loading, the initial length of the wire that grows 1.5 mm is 400 mm. Find the engineering voltage.arrow_forward
- Need help on this Q.arrow_forwardb. Given that Na = 6.022x1023 atoms/mol. Calculate the theoretical density of nickel. Show your calculations.arrow_forward3 Copper Unit Cell Uniqueness Here's a weird way to describe the structure of copper: Cu falls into the tetragonal crystal system with a = 0.256 nm, c = 0.362 nm = a√√2, and atoms located at 000 and. Its density is 8.94 g/cc at room temperature. (a) Draw a few adjacent units cells of the structure as described in this "weird" way. You should be able to see that there is a much more convenient way to describe the structure. What is it? (The point I wish to make is that there are many different unit cells that can be used to describe any given crystal, so we usually choose the one that is easiest to visualize.) (b) Calculate the radius of a copper atom using the above information. (c) Calculate the lattice parameter of the "better" unit cell of Cu.arrow_forward
- = 0.4961 nm and c = The unit cell for Cr2O3 has hexagonal symmetry with lattice parameters a 1.360 nm. If the density of this material is 5.22 g/cm³, calculate its atomic packing factor. For this computation assume ionic radii of 0.062 nm and 0.140 nm, respectively for Cr³+ and O²¯.arrow_forwardthe volume of BCC unit cell when the atomic radius is 0.662 nm isarrow_forwardConsider two hypothetical metallic crystal structures A and b has an fcc and B a bcc lattice structure. Both have the same unit cell volume. The atomic packing factor for a is 0.740 and that for b is 0.680. what is the ratio of the fcc to bcc atomic radii? Select one of the answers below. a. 0.63 b. 0.82 c. 1.21 d. 0.92 e. 0.44arrow_forward
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