GATE ME 2018 Paper 2 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

A test is conducted on a one-fifth scale model of a Francis turbine under a head of 2 m and volumetric flow rate of 1 m

/s at 450 rpm. Take the water density and the acceleration due to gravity as

kg/m

and 10 m/s

, respectively. Assume no losses both in model and prototype turbines. The power (in MW) of a full sized turbine while working under a head of 30 m is ______ (correct to two decimal places).

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The true stress (in MPa) versus true strain relationship for a metal is given by

The cross-sectional area at the start of a test (when the stress and strain values are equal to zero) is 100 mm². The cross-sectional area at the time of necking (in mm²) is ______ (correct to two decimal places)

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A steel wire is drawn from an initial diameter (d_i) of 10 mm to a final diameter (d_f) of 7.5 mm. The half cone angle (α) of the die is 5° and the coefficient of friction (μ) between the die and the wire is 0.1. The average of the initial and final yield stress [(σ_Y)_] is 350 MPa. The equation for drawing stress σ_f, (in MPa) is given as:

The drawing stress (in MPa) required to carry out this operation is ______ (correct to two decimal places).

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2018 · Paper 2

Question 45

Question 46

Question 47