ISRO Scientist or Engineer Refrigeration & Air-Conditioning 2014

For the following questions answer them individually

Two cutting tools are being compared for a machining operation. The tool life equations are Carbide tool : $$VT^{1.6} = 3000$$; HSS tool : $$VT^{0.6} = 200$$, where V is the cutting speed in m/min and T is tool life in min. The carbide tool will provide higher tool life, if the cutting speed in m/min exceeds

Two crossed helical gears are used for speed reduction. Gear A haspitch circle diameter in the plane of rotation 80mm and helix angle 30 deg; Gear B . Gear A haspitch circle
diameter in the plane of rotation 120mm andhelix angle 22.5 deg; If the input speed is 1440 RPM, then output speed in RPM is

An ideal brayton cycle operating between the pressure limits of 1 bar and 6 bar, has minimum and maximum temperature of 300 and 1500 K. Ratio of specific heat of working
fluid is 1.4. Approximate final temperatures in Kelvin at the end of compression and expansion respectively are

On a hot summerday, surface of the concrete highway may reach 328 K. Suppose a stream of wateris directed on the highwayso that the surface is suddenly lowered to 308 K. Time
taken in hours to cool the concrete to 318 K to a depth of 5 cm below the surface is:(Thermal diffusivity = 1.77 E-03 m$$^2$$/h)

Twofluids A and B exchange heatin counterflow heat exchanger. Fluid A enters at 700 K and fluid B enters at 300 K. Mass flow rate of A & B is 1 kg/s. Specific heat of fluid A and B is 1000 J/kg K and 4000 J/kg K. Net Effectiveness of heat exchange is 75 %. Exit temperature of Fluid B is

$$\overline{a}$$ and $$\overline{b}$$ are vectors such that $$2 \overline{a} - 4 \overline{b}$$ and $$10 \overline{a} + 8 \overline{b}$$ are perpendicular to each other. Angle between the vectors $$\overline{a}$$ and $$\overline{b}$$ is

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