Complete GATE ME 2022 Paper 2 overview, original pages and practice · Timed previous-paper practice

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 20 of 22

Question 58

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MENAT2 marksNeeds review
A cylindrical billet of 100 mm diameter and 100 mm length is extruded by a direct extrusion process to produce a bar of L-section. The cross sectional dimensions of this L-section bar are shown in the figure. The total extrusion pressure (

) in MPa for the above process is related to extrusion ratio (

) as

where

is the mean flow strength of the billet material in MPa,

is the portion of the billet length remaining to be extruded in mm,

is the initial diameter of the billet in mm, and

is the die shape factor.
If the mean flow strength of the billet material is 50 MPa and the die shape factor is 1.05, then the maximum force required at the start of extrusion is __________ kN (round off to one decimal place).
Diagram for Mechanical Engineering question 58


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Question 59

Open question
MENAT2 marksNeeds review
A project consists of five activities (A, B, C, D and E). The duration of each activity follows beta distribution. The three time estimates (in weeks) of each activity and immediate predecessor(s) are listed in the table. The expected time of the project completion is __________ weeks (in integer).
Activity
Optimistic time
Most likely time
Pessimistic time
Immediate predecessor(s)
A
4
5
6
None
B
1
3
5
A
C
1
2
3
A
D
2
4
6
C
E
3
4
5
B, D

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Question 60

Open question
MENAT2 marksNeeds review
A rigid tank of volume of 8 m

is being filled up with air from a pipeline connected through a valve. Initially the valve is closed and the tank is assumed to be completely evacuated. The air pressure and temperature inside the pipeline are maintained at 600 kPa and 306 K, respectively. The filling of the tank begins by opening the valve and the process ends when the tank pressure is equal to the pipeline pressure. During the filling process, heat loss to the surrounding is 1000 kJ. The specific heats of air at constant pressure and at constant volume are 1.005 kJ/kg.K and 0.718 kJ/kg.K, respectively. Neglect changes in kinetic energy and potential energy.
The final temperature of the tank after the completion of the filling process is __________ K (round off to the nearest integer).

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