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# BARC 2021 ME: Full Syllabus Test 4

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Question 1

A 300 mm thick slab is being cold rolled using roll of 600 mm diameter. If the coefficient of friction is 0.08, the maximum possible reduction (in mm) is __________

Question 2

A pitot tube measures a differential pressure of 0.008 bar. What is the speed of the plane, if it is flying at a height of about 12000 m. Take density of air at this height 0.31 kg/m3

Question 3

The machined work-piece is free of residual mechanical stresses in which of the following non-conventional machining processes?

Question 4

What is the value of:

Question 5

Given that the peripheral speed of the grinding wheel of 100 mm diameter for cylindrical grinding of a steel workpiece is 30 m/s, what will be the estimated rotational speed of the grinding wheel in revolution per minute (rpm)?

Question 6

The inlet temperature of a counter flow heat exchanger for hot and cold fluid is 170 and 30. The ratio of capacity rate for hot and cold fluid is 1. Find the LMTD (degree celcius) of the heat exchanger. Take effectiveness ε=0.7

Question 7

The radiative heat transfer rate per unit area (W/m2) between two plane parallel gray surfaces whose emissivity is 0.9 and maintained at 400 K and 300K is _________.

Question 8

Given a function f( x ,y) = 5x2 – 4xy + 2y2 + 4x – 4y + 10 ,the optimum value of f(x, y) is

Question 9

Air at 100 kPa, 2 °C occupies a 10 liter piston-cylinder device that is arranged to maintain constant air pressure. This device is now heated until its volume is 20 liters. The work produced by the air is

Question 10

Steady one-dimensional heat conduction takes place across the faces 1 and 3 of a composite slab consisting of slabs A and B in perfect contact as shown in the figure, where kA, kB denote the respective thermal conductivities. Using the data as given in the figure, the interface temperature T2 (in oC. is ____

Question 11

Which is correct in case of flywheel?

Question 12

The lowest eigen value of the 2×2 matrix is ________

Question 13

A brick wall (k =0.9) of thickness 0.18 m separates the warm air in a room from the cold ambient air.On a particular winter day the outside air temperature is -5 °C and the room needs to be maintained at 27 °C. The heat transfer coefficient associated with outside air is Neglecting the convective resistance of the air inside the room, the heat loss, in, is

Question 14

A smooth flat rectangular plate is placed edgewisw in a stream of fluid. At what fraction of the length from the leading edge would the drag force on the front portion be equal to half of the total drag force ? (Assume the boundary layer to be laminar).

Question 15

A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is . The inner diameter of the shaft is 0.7 times the outer diameter. The modulus of rigidity is 80 GPa. The outside diameter (in mm) of the shaft is _______
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