GATE ME topic:mechanical-engineering PYQs & Answers — Page 46 — Exam Papers

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Questions 451–460 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 46 of 104

A pressure measurement device fitted on the surface of a submarine, located at a depth

below the surface of an ocean, reads an absolute pressure of 4.2 MPa. The density of sea water is 1050 kg/m

, the atmospheric pressure is 101 kPa, and the acceleration due to gravity is 9.8 m/s

. The depth

is ______ m (round off to the nearest integer).

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Consider an ideal vapour compression refrigeration cycle working on R-134a refrigerant. The COP of the cycle is 10 and the refrigeration capacity is 150 kJ/kg. The heat rejected by the refrigerant in the condenser is ______ kJ/kg (round off to the nearest integer).

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Consider fully developed, steady state incompressible laminar flow of a viscous fluid between two large parallel horizontal plates. The bottom plate is fixed and the top plate moves with a constant velocity of

m/s. Separation between the plates is 5 mm. There is no pressure gradient in the direction of flow. The density of fluid is 800 kg/m

, and the kinematic viscosity is

m

/s. The average shear stress in the fluid is ______ Pa (round off to the nearest integer).

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A rigid tank of volume 50 m³ contains a pure substance as a saturated liquid vapour mixture at 400 kPa. Of the total mass of the mixture, 20% mass is liquid and 80% mass is vapour. Properties at 400 kPa are:

,

m³/kg,

m³/kg. The total mass of liquid vapour mixture in the tank is ______ kg (round off to the nearest integer).

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A rigid insulated tank is initially evacuated. It is connected through a valve to a supply line that carries air at a constant pressure and temperature of 250 kPa and 400 K respectively. Now the valve is opened and air is allowed to flow into the tank until the pressure inside the tank reaches 250 kPa at which point the valve is closed. Assume that the air behaves as a perfect gas with constant properties (

kJ/kg.K,

kJ/kg.K,

kJ/kg.K). Final temperature of the air inside the tank is ______ K (round off to one decimal place).

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An object is moving with a Mach number of 0.6 in an ideal gas environment, which is at a temperature of 350 K. The gas constant is 320 J/kg.K and ratio of specific heats is 1.3. The speed of object is ______ m/s (round off to the nearest integer).

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The figure shows an arrangement of a heavy propeller shaft in a ship. The combined polar mass moment of inertia of the propeller and the shaft is 100 kg.m

. The propeller rotates at

rad/s. The waves acting on the ship hull induces a rolling motion as shown in the figure with an angular velocity of 5 rad/s. The gyroscopic moment generated on the shaft due to the motion described is ______ N.m (round off to the nearest integer).

Diagram for Mechanical Engineering question 24

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A column with one end fixed and one end free has a critical buckling load of 100 N. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be ______ N (round off to the nearest integer).

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Consider a single degree of freedom system comprising a mass

, supported on a spring and a dashpot as shown in the figure.

Diagram for Mechanical Engineering question 25

If the amplitude of the free vibration response reduces from 8 mm to 1.5 mm in 3 cycles, the damping ratio of the system is ______ (round off to three decimal places).

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A steel cubic block of side 200 mm is subjected to hydrostatic pressure of 250 N/mm². The elastic modulus is

N/mm² and Poisson ratio is 0.3 for steel. The side of the block is reduced by ______ mm (round off to two decimal places).

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