# GATE Mechanical Exam Practice paper - 2 Online Test

A room contains 35 kg of dry air and 0.5 kg of water vapor. The total pressure and temperature of

air in the room are 100 kPa and 25°C respectively. Given that the saturation pressure for water at

25°C is 3.17 kPa, the relative humidity of the air in the room is

Calculate the punch size in mm, for a circular blanking operation for which details are given below.

Size of the blank 25 mm

Thickness of the sheet 2 mm

Radial clearance between punch and die 0.06 mm

Die allowance 0.05 mm

Water (Cp = 4.18 kJ/kg.K) at 80°C enters a counterflow heat exchanger with a mass flow rate of

0.5 kg/s. Air (Cp = 1 kJ/kg.K) enters at 30°C with a mass flow rate of 2.09 kg/s. If the effectiveness

of the heat exchanger is 0.8, the LMTD (in °C) is

In a single pass rolling process using 410 mm diameter steel rollers, a strip of width 140 mm and

thickness 8 mm undergoes 10 % reduction of thickness. The angle of bite in radians is

In a DC arc welding operation, the voltage-arc length characteristic was obtained as

Varc = 20+5l where the arc length l was varied between 5 mm and 7 mm. Here Varc denotes the

arc voltage in Volts. The arc current was varied from 400 A to 500 A. Assuming linear power

source characteristic, the open circuit voltage and the short circuit current for the welding

operation are

A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one

after another, without replacement. The probability that the selected set contains one red ball and

two black balls is

A solid circular shaft needs to be designed to transmit a torque of 50 N.m. If the allowable shear

stress of the material is 140 MPa, assuming a factor of safety of 2, the minimum allowable design

diameter in mm is

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