GATE 2017-2018 :: GATE Production
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Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below:Specific enthalpy (kJ/kg) Velocity (m/s)Inlet steam condition 3250 180Exit steam condition 2360 5The 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 flowrate, is
- A simply supported beam of length L is subjected to a varying distributed load sin (3Ï€ x/L) Nm-1, where the distance x is measured from the left support. The magnitude of the vertical reaction force in N at the left support is
- The probability that a student knows the correct answer to a multiple choice question is 2/3. If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is 1/4. Given that the student has answered the question correctly, the conditional probability that the student knows the correct answer is
- The solution to the differential equation d2u/dx2 - k du/dx = 0 where k is a constant, subjected to the boundary conditions u(0) = 0 and u(L) = U, is
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The value of the definite integral
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The following surface integral is to be evaluated over a sphere for the given steady velocity vector field F = xi + yj + zk defined with respect to a Cartesian coordinate system having i, j and k as unit base vectors.where S is the sphere, x2 + y2 + z2 =1 and n is the outward unit normal vector to the sphere. The value of the surface integral is
- The function f(t) satisfies the differential equation d2f/dt2 + f = 0 and the auxiliary conditions, f(0) = 0, df/dt (0) = 4. The Laplace transform of f (t) is given by
- A flywheel connected to a punching machine has to supply energy of 400 Nm while running at a mean angular speed of 20 rad/s. If the total fluctuation of speed is not to exceed ±2%, the mass moment of inertia of the flywheel in kg-m2 is
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A single riveted lap joint of two similar plates as shown in the figure below has the following geometrical and material details.
If the plates are to be designed to avoid tearing failure, the maximum permissible load P in kN is -
Two cutting tools are being compared for a machining operation. The tool life equations are: Carbide tool: VT1.6 = 3000HSS tool: VT0.6 = 200where V is the cutting speed in m/min and T is the tool life in min. The carbide tool will provide higher tool life if the cutting speed in m/min exceeds
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