A multi bladed turbine disc can be assumed to have a combined mass of 150kg with an effective radius of gyration of 0.59m. The disc is rigidly attached to a steel shaft 2.4m long and, under service conditions, rotates at a speed of 250 rev/min. Determine the diameter of the shaft required in order that the maximum shear stress set up in the event of sudden seizure of the shaft shall not exceed 200 MN/m^2. Neglect the inertia of the shaft itself and take the modulus of rigidity G of the shaft material to be 85 GN/m^2.

A press tool machine uses a flywheel in the form of a solid steel disc 0.7 m diameter and 0.1 m thick rotating with a mean speed of 60 rev/min. The density of the steel is 7830 kg/m^3. The press is operated once every 5 revolutions and a torque of 2000 Nm is exerted on the tool for a duration of 0.05 seconds. The energy absorbed is replaced during the rest of the cycle. Sketch the torque angle diagram and determine the following. The mass of the flywheel .The moment of inertia .The work done during the pressing operation .The coefficient of fluctuation of speed. The maximum and minimum speeds of the flywheel

[1] A Pelton turbine is driven by two jets, generating 5.0 MW at 80 rev/min. The effective head at the nozzles is 300 m of water and the nozzle velocity coefficient, KN = 0.97. The axes of the jets are tangent to a circle 2 m in diameter. The relative velocity of the flow across the buckets is decreased by 17% and the water is deflected through an angle of 165 deg. Neglecting bearing and windage losses, determine: (i) the runner efficiency; (ii) the diameter of each jet; (iii) the power specific speed.

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A vertical double action steam engine develops 75 kW at 250 r.p.m. The maximum fluctuation of energy is 30 percent of the work done per stroke. The maximum and minimum speeds are not to vary more than 1 percent on either side of the mean speed. Find the mass of the flywheel required, if the radius of gyration is 0.6 m.

Calculate the displacement, the real power and the real torque of an hydraulic power engine with a theoretical power of 1.5 kW. The rotation speed is 1000 rpm and the pressure is 12 Mpa. Volumetric efficiency is 95% and mechanical efficiency is 93%. Answer :Real power = 1.33kWActual torque = 12.7 N-mDisplacement = 7.12 cm3/rev

A 15 in. diameter fan operates at 1600 rpm and develops a head of 6 in. of water anddelivers 120 cfm. What volumetric capacity for geometrically similar fan will develop 6 in ofwater at 1300 rpm?

4. A single-acting reciprocating pump has a diameter (piston) of 150 mm and stroke length 350 mm. The centre of the pump is 3.5 m above the water surface in the sump and 22 m below the delivery water level. Both the suction and delivery pipes have the same diameter of 100 mm and are 5 m and 30 m long respectively. If the pump is working at 30 r.p.m., determine: (i) The pressure heads on the piston at the beginning, middle and end of both suction and delivery strokes. (ii) The power required to drive the pump. Take atmospheric pressure as 10.3 m of water.

The dimensions of a Francis radial-flow hydroturbine are r2 = 2.00 m, r1 = 1.30 m, b2 = 0.85 m, and b1 = 2.10 m, where location 2 is the inlet and location 1 is the outlet. At the turbine inlet and outflow, the runner blade angles are β2 = 71.4° and β1 = 15.3°, respectively. The runner rotates at a rate of ń = 160 rpm. At design conditions, the volume flow rate is 80.0 m3 /s.     (a)  State the necessary assumptions and calculate the angle α2 at which the wicket gates should turn the flow (Figure Q1), with α2 measured from the radial direction at the runner inlet. (b)  Calculate the swirl angle α1 (Figure Q1), where α1 is the angle measured from the radial direction at the runner output.  (c)  Calculate the needed net head and power output.  (d)  Discuss the actual power output and head required for actual case of the turbine (irreversibility not neglected).  (Properties For water at 20oC, ρ = 998.0 kg/m3)