GATE

Q. True centrifugal casting process in horizontal configuration is to be used for casting a metallic cylinder with outside diameter 0.275 m and inside diameter 0.250 m. If G-factor (ratio of centrifugal force experienced by the rotating cast metal to its weight) is 65 and acceleration due to gravity is 9.8 m/s2, the minimum rotational […]

Q. A uniform cantilever beam ABC of length L is subjected to a point load P at point B and a concentrated moment M at point C (as shown in figure). Let E be the Young’s modulus of the beam material and I be the area moment of inertia of the beam’s cross-section. Assuming the

Q. A warehouse has 1 loading dock and 3 persons for loading operations. The arrival rate of trucks follows Poisson distribution with a mean of 4 trucks/hour. The average loading time (by three persons together) per truck is exponentially distributed with a mean of 10 minutes. The charge of the trucks per hour and loading

Q. In a work study experiment, normal time was recorded as 140 s with a rating of 100%. Considering 2% allowance, the standard time (in s) is________(round off to 1 decimal place) Ans: 141 – 145 Sol:

Q. For a process which is in a state of statistical control (within ± 3s ), estimated process standard deviation (s) is 3 mm. The specification limits for the corresponding product are 100 ± 7 mm. The capability ratio Cr is _______(round off to 3 decimal places) Ans: 0.777 – 0.779 Sol:

Q. The average proportion non-conforming of 20 samples each of size 100 items is 0.12. The upper control limit for the relevant chart is ____(round off to 2 decimal places) Ans: 0.21 – 0.23 Sol:

Q. In a typical turning tool life test, the following data are generated for tools A and B: Tool name Cutting speed (m/min) Tool life (min) A 200 20 B 150 58 Assuming the same tool life exponent for the tools, the value of constant in the Taylor’s tool life equation (with cutting speed in

Q. For the abrasive jet machining process, the ratio of abrasive volume to carrier gas volume is 0.25. Further, the ratio of abrasive density to carrier gas density is 25. The mass ratio of abrasive to the mixture of abrasive and carrier gas is Ans: 0.85 – 0.90 Sol: We know that, Mixing Ratio (MR):

Q. One kilogram of air is compressed at constant temperature of 150 ˚C until its volume is halved. Considering gas constant R = 0.287 kJ/kg-K for air, magnitude of heat rejected (in kJ) in the compression process is Ans: 84 – 84.3 Sol: First Law of Thermodynamics: δQ = dU + δW For Isothermal process dU

Q. A heat pump is to supply heat at the rate of 10 kW to a building to be maintained at 22 ˚C. The outside temperature is 2 ˚C. The minimum power (in kW) required to run the heat pump is          (round off to 2 decimal places) Ans: 0.67 – 0.69 Sol: