1
GATE ME 2012
MCQ (Single Correct Answer)
+1
-0.3
A circular solid disc of uniform thickness $$20mm,$$ radius $$200mm$$ and $$mass$$ $$20kg,$$ is used as a fly wheel. If it rotates at $$600$$ $$rpm,$$ the kinetic energy of the flywheel, in joules is
A
$$395$$
B
$$790$$
C
$$1580$$
D
$$3160$$
2
GATE ME 2012
MCQ (Single Correct Answer)
+2
-0.6
A concentrated mass $$m$$ is attached at the centre of a rod of length $$2L$$ as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness $$k.$$ For very small amplitude of vibration, neglecting the weights of the rod and spring, the un damped natural frequency of the system is GATE ME 2012 Theory of Machines - Vibrations Question 23 English
A
$$\sqrt {{{K} \over m}} $$
B
$$\sqrt {{{2K} \over m}} $$
C
$$\sqrt {{K \over {2m}}} $$
D
$$\sqrt {{{4K} \over m}} $$
3
GATE ME 2012
MCQ (Single Correct Answer)
+2
-0.6
Steam enters an adiabatic turbine operating at steady state with an enthalpy of $$3251.0kJ/kg$$ and leaves as a saturated mixture at $$15$$ $$kPa$$ with quality (dryness fraction ) $$0.9.$$ The enthalpies of the saturated liquid and vapour at $$15$$ $$kPa$$ are $${h_f} = 225.94kJ/kg$$ and $${h_g} = 2598.3kJ/kg$$ respectively. The mass flow rate of steam is $$10kg/s.$$ Kinetic and potential energy changes are negligible. The power output of the turbine in $$MW$$ is
A
$$6.5$$
B
$$8.9$$
C
$$9.1$$
D
$$27.0$$
4
GATE ME 2012
MCQ (Single Correct Answer)
+2
-0.6
Air enters an adiabatic nozzle at $$300$$ $$kPa,$$ $$500$$ $$K$$ with a velocity of $$10$$ $$m/s.$$ It leaves the nozzle at $$100$$ $$kPa$$ with a velocity of $$180$$ $$m/s.$$ The inlet area is $$80$$ $$c{m^2}.$$ The specific heat of air $${C_p}$$ is $$1008$$ $$J/kg.K.$$

The exit temperature of the air is

A
$$516$$ $$K$$
B
$$532$$ $$K$$
C
$$484$$ $$K$$
D
$$468$$ $$K$$
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