GATE ME exam:gate PYQs & Answers — Page 89

Questions 881–890 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 89 of 104

A slider crank mechanism is shown in the figure. At some instant, the crank angle is 45° and a force of 40 N is acting towards the left on the slider. The length of the crank is 30 mm and the connecting rod is 70 mm. Ignoring the effect of gravity, friction and inertial forces, the magnitude of the crankshaft torque (in Nm) needed to keep the mechanism in equilibrium is __________ (correct to two decimal places).

Diagram for Mechanical Engineering question 41

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A 0.2 m thick infinite black plate having a thermal conductivity of 3.96 W/m-K is exposed to infinite black surfaces at 300 K and 400 K as shown in the figure. At steady state, the surface temperature of the plate facing the cold side is 350 K. The value of Stefan-Boltzmann constant,

, is

W/m

. Assuming 1-D heat conduction, the magnitude of heat flux through the plate (in W/m

) is ________ (correct to two decimal places).

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A sprinkler shown in the figure rotates about its hinge point in a horizontal plane due to water flow discharged through its two exit nozzles.

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The total flow rate Q through the sprinkler is 1 litre/sec and the cross-sectional area of each exit nozzle is 1 cm

. Assuming equal flow rate through both arms and a frictionless hinge, the steady state angular speed of rotation (in rad/s) of the sprinkler is _____ (correct to two decimal places).

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Air is held inside a non-insulated cylinder using a piston (mass

kg and area

) and stoppers (of negligible area), as shown in the figure. The initial pressure

and temperature

of air inside the cylinder are 200 kPa and 400°C, respectively. The ambient pressure

and temperature

are 100 kPa and 27°C, respectively. The temperature of the air inside the cylinder (°C) at which the piston will begin to move is ________ (correct to two decimal places).

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A solid block of 2.0 kg mass slides steadily at a velocity V along a vertical wall as shown in the figure below. A thin oil film of thickness h = 0.15 mm provides lubrication between the block and the wall. The surface area of the face of the block in contact with the oil film is 0.04 m

. The velocity distribution within the oil film gap is linear as shown in the figure. Take dynamic viscosity of the oil as

Pa-s and acceleration due to gravity as 10 m/s

. Neglect weight of the oil. The terminal velocity V (in m/s) of the block is ________ (correct to one decimal place).

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A standard vapor compression refrigeration cycle operating with a condensing temperature of 35°C and an evaporating temperature of −10°C develops 15 kW of cooling. The p-h diagram shows the enthalpies at various states. If the isentropic efficiency of the compressor is 0.75, the magnitude of compressor power (in kW) is ________ (correct to two decimal places).

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A tank of volume 0.05 m

contains a mixture of saturated water and saturated steam at 200°C. The mass of the liquid present is 8 kg. The entropy (in kJ/kg K) of the mixture is __________ (correct to two decimal places).

Property data for saturated steam and water are: At 200°C,

MPa

/kg,

/kg

kJ/kg K,

kJ/kg K

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Ambient air is at a pressure of 100 kPa, dry bulb temperature of 30°C and 60% relative humidity. The saturation pressure of water at 30°C is 4.24 kPa. The specific humidity of air (in g/kg of dry air) is ________ (correct to two decimal places).

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Steam flows through a nozzle at a mass flow rate of ṁ = 0.1 kg/s with a heat loss of 5 kW. The enthalpies at inlet and exit are 2500 kJ/kg and 2350 kJ/kg, respectively. Assume negligible velocity at inlet (C

≈ 0), the velocity (C

) of steam (in m/s) at the nozzle exit is ________ (correct to two decimal places).

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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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GATE ME exam:gate PYQs

Question 41

Question 41

Question 42

Question 42

Question 43

Question 43

Question 44

Question 44

Question 45

Question 45