The repeat distance, linear density and packing factor for HCP magnesium at the direction of [ 2 ¯ 110 ] and [ 11 2 ¯ 0 ] needs to be calculated. Concept introduction: Hexagonal close-packed structure of magnesium has the lattice parameter of 3.2087Å. The repeat distance, linear density and packing fraction can be calculted suitable formulas and use of atomic radius for the HCP structure, which can be calculated as follows: r = a 0 / 2 Here, a 0 is edge length.

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Question 2 A sluice gate controls flow in open channels. At sections 1 and 2, the flow is uniform and the pressure is hydrostatic. Neglecting bottom friction and atmospheric pressure, calculate the velocities V1 and V2, and the horizontal force, F, required to hold the gate if h1 = 6m, h2 = 1m, and b = 5m. h₁V₁ Sluice gate, width b F

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Chapter 3, Problem 3.75P

Interpretation Introduction

Interpretation:

The repeat distance, linear density and packing factor for HCP magnesium at the direction of [2¯110] and [112¯0] needs to be calculated.

Concept introduction:

Hexagonal close-packed structure of magnesium has the lattice parameter of 3.2087Å. The repeat distance, linear density and packing fraction can be calculted suitable formulas and use of atomic radius for the HCP structure, which can be calculated as follows:

r = a0/2

Here, a0 is edge length.

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