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GATE ME 2019: Topper's Quiz-21

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Question 1

The analysis of motion of a airplane was carried out. If the airplane enters a low air pressure pocket than the motion analyses in this case is referred to as;

Question 2

A 60 mm-diameter water jet strikes a plate containing a hole of 40 mm diameter as shown in the figure. Part of the jet passes through the hole horizontally, and the remaining is deflected vertically. The density of water is 1000 kg/m³. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is ______

Question 3

A large turbine generates a power of 1000 kW under a head of 50 m. A 1/5^th model of a hydraulic turbine is tested against a head of 10 m. The power developed (kW)

Question 4

During heat transfer between two large parallel plates. The surface resistance between them is given by (where Ɛ is emissivity and A is area of plate).

Question 5

An infinitely long furnace of 0.5 m × 0. 4 m cross-section is shown in the figure below. Consider all surfaces of the furnace to be black. The top and bottom walls are maintained at temperature T₁ = T₃ = 927℃while the side walls are at temperature T₂ = T₄ = 527℃. The view factor, F1-2 is 0.26. The net radiation heat loss or gain on side 1 is_________ W/m. Stefan-Boltzmann constant = 5.67 × 10⁻⁸ W/m²‐K⁴

Question 6

If λ and μ are the arrival rate and service rate in a single server queuing model, then the average waiting time in the system is

Question 7

Calculate the maximum bending stress (in MPa) at the joint of the circular shaft and the base plate welded by the fillet weld when the circular shaft of 50 mm diameter is subjected to a bending moment of 3 kN-m. The size of the fillet weld is 10 mm.

Question 8

The stroke of a shaping machine is 250 mm. if it makes 60 double strokes per minute. Overall average speed of operation is

Question 9

Find the total extension in the stepped bar with an axial tensile load of 50 kN and having varying length of 2m, 3m, 5m and area of 200mm², 250mm² and 300 mm² as shown in given figure. E= 2×10⁵N/ mm² .

Question 10

A locomotive is running in a smooth road with sufficient friction for no slip of the tire. The variation of the unbalanced force causes a tractive force. At what angle in degree along the line of action of stroke does the tractive force is maximum. (input a value not greater than 180 degree)…

Question 11

A diesel engine of bore 0.1 m and a stroke of 0.11 m has a compression ratio of 19 when running at 2000 rpm. The cycle has mean effective pressure of 1400 kPa and each cycle takes two revolutions. The engine power (in HP) will be, if the number of cylinders are 6

Question 12

The specific enthalpy of the mixture of steam (in KJ/kg), when the pressure is 2 MPa and specific volume = 0.09 m³/kg is

Table: Property values

Question 13

Using the Clausius–Clapeyron equation find the enthalpy of vaporization(in kJ/kg). The following data is given: At 200°C, v_g=0.1275 m³/kg and V_f= 0.001157 m³/kg and change of pressure with respect to temperature $Description: Description: 02_Thermodynamics_BLok_files\image035.png$ .

Question 14

Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below:

The rate of heat loss from the turbine per kg of steam flow rate is 5 kW Neglecting changes in potential energy of steam, the power developed in kW by the steam turbine per kg of steam flow rate, is

Question 15

Air at 20 °C dry bulb temperature and 40% relative humidity is heated up to 40 °C using heater, whose surface temperature is maintained uniformly at 45 °C. The bypass factor of the heater is

Question 16

In a planetary gear train consists of 2 gears A, B and arm C. A is fixed and T_B=10 Nm(clockwise) where T is the torque on the gear. If speed of B is 100 rpm and arm C is 200 rpm both clockwise calculate the fixed torque on gear A in Nm.

Question 17

A tension bar 5m long is made up of two parts, 3m of its length has a cross sectional area of 15

while the remaining 2m has a cross sectional area of 20

. An axial load of 70kN is gradually applied. Find the total strain energy produced in the bar. Take E= 2×

Question 18

In a single pass rolling operation using 500 mm diameter rollers, a strip of width 180 mm and thickness 12 mm undergoes 15% reduction in thickness. The bite angle in degrees is?

Question 19

In a worn out cone clutch of α=12.5⁰, where inner and outer radii are 20 mm and 40 mm respectively, the friction lining is found to be in such a way that coefficient of friction µ varies with radius of the clutch as µ=r ^-2/(2π). Find the maximum torque that can be transmitted by the cone clutch if maximum pressure P_max=20 MPa.

Question 20

Two black surfaces, AB and BC, of lengths 5m and 6m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view factor F12=0.5, T1=800K, T2=600K, T_surrounding=300K and Stefan Boltzmann constant

the heat transfer rate from Surface 2 to the surrounding environment is ____________ kW/m

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