Mass of skip and attachments                                          7 400 kg Maximum permitted mineral load                                    9 500 kg Mass of 3 deck cage and attachments                             6 210 kg Maximum number of persons allowed per deck              30 Average mass per person                                                 70 kg Distance from sheave to minerals loading station           1 670 m Distance from sheave to lowest cage landing                  1 600 m Initial breaking force of rope (when the rope is new)       1 580 kN Mass of rope per unit length

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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QUESTION 6

Mass of skip and attachments                                          7 400 kg
Maximum permitted mineral load                                    9 500 kg
Mass of 3 deck cage and attachments                             6 210 kg
Maximum number of persons allowed per deck              30
Average mass per person                                                 70 kg
Distance from sheave to minerals loading station           1 670 m
Distance from sheave to lowest cage landing                  1 600 m

Initial breaking force of rope (when the rope is new)       1 580 kN
Mass of rope per unit length                                            10,5 kg/m
Acceleration time                                                              30,0 seconds
Maximum velocity                                                            15 m/s
Strength of used rope: strength of new rope                   0,9

Calculate:

6.1 The maximum mass of material that may be conveyed in the cage if the factor of safety (FOS) on the weight of the cage (and attachments) and material only is 10 (excluding weight of rope and persons). Assume that no persons are in the cage (only material) and that the rope is still new. 


6.2 The maximum mass of material that may be conveyed in the cage if the factor of safety (FOS) on the weight of the cage (and attachments), rope and material only is 5. Assume that no persons are in the cage (only material) and that the rope is still new.

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