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An inward flow reaction turbine is required to produce a power of 280 kW at 200


rpm. The effective head on the turbine is 20 m. The inlet diameter is twice as the


outlet diameter. Assume hydraulic efficiency as 80%. The radial


velocity is 3.5 m/s and is constant. The ratio of breadth to wheel diameter is 0.1


and 5% of the flow area is blocked by vane thickness. Determine the inlet and


outlet diameters, inlet and exit vane angle and guide blade angle at the inlet.


Assume radial discharge.



A lorry with mass 3500 kg is parked at the top of a steep hill with a 1– in– 8 gradient when its handbrake fails. Assume that the lorry has a constant frictional resistance to motion of 500 N. The lorry rolls 40 m down the hill before crashing into a lamp post. Use the principle of conservation of energy to calculate the velocity of the lorry immediately prior to its impact with the lamp post.


A lift cage with mass 500 kg accelerates vertically upwards from rest to a velocity of 6 m s −1 in a distance of 12 m. The frictional resistance to motion is assumed to be constant throughout at 200 N. a) Calculate the work done raising the lift. b) Calculate the tension in the lifting cable. c) Calculate the power developed by the winch. A lorry with mass 3500 kg is parked at the top of a steep hill with a 1– in– 8 gradient when its handbrake fails. Assume that the lorry has a constant frictional resistance to motion of 500 N. The lorry rolls 40 m down the hill before crashing into a lamp post. Use the principle of conservation of energy to calculate the velocity of the lorry immediately prior to its impact with the lamp post.


A satellite launch vehicle travelling at 1000 m s −1 uses a controlled explosion to release its payload into orbit. The empty launch vehicle has a mass of 7500 kg and the satellite released has mass 250 kg. Both continue travelling in the same direction, with the launch vehicle now moving at 900 m s −1 . a) Calculate the initial momentum of the launch vehicle immediately before the satellite was released. b) Calculate the final velocity of the satellite after release.


During a particular the specific heat of the working fluid comprising system is given by the relation: (C=0.2 + 0.002 T) kj/kg K. where T is the absolute temperature in degree Kelvin. What amount of the heat is required to be supplied to the fluid system to raise it's temperature from 300 K to 400K? Also determine the me mean value of specific heat.


The pressure on 142 l/min of air is boosted reversibly from 2,068.44 kPaa to 6,205.32 kPaa while the temperature remains constant at 24° C ∆U= 0. a) find the integral of pdV and - integral of Vdp. (b) for a nonflow process, find W,Q,∆H, and ∆S. (c) for steady flow process during which ∆K= 5 kJ/min and ∆P=0, find the integral of pdV, - integral of Vdp, W, ∆E, ∆H, Q, and ∆S

The bars AB and AC are joined by a pin at A and a horizontal cable. The vertical cable carrying the 200-kg mass is attached to the pin at A. Determine the tension in the horizontal cable. Neglect the weights of the bars.





Determine the tension in horizontal cable in N





a lump of steel of mass 8 kg at 1000 k is dropped in 80 kg of oil at 300 k. calculate the entropy change of steel the oil and the universe. take specific heats of steel and oil as 0.5 kj/kg K and 3.5 Kj /kg K respectively.


The motion of a cylinder of radius r is controlled by a cable AG. Knowing that end G of the cable has a

velocity of VG = 0.3 m/s and an acceleration of aG, = 0.5 m/s' , both directed upward, and that r = 0.15 m

determine the acceleration (a) of point B and of point D, (b) the velocity and acceleration of point E.


For the hydraulic motor shown below, the pump pulls linseed oil from tank A via a 3 ½”

Sch40 steel pipe at a flow rate of 620 L/min. The pump is rated at 30hp and has an efficiency of 80%. If the pipe from the pump outlet to the hydraulic motor is 2” Sch40 steel pipe and the pipe from the motor outlet back to tank A is 3 ½” Sch40 steel pipe and the following data are known:


1.Energy loss from tank A to the pump inlet is 6.2 Nm/N.


2.Energy loss from pump outlet to inlet to hydraulic motor is 1.2 Nm/N.


3.Energy loss from outlet of hydraulic motor to tank A inlet is 2.5 Nm/N.




Ignoring all other losses, compute the following:



1. Pressure at the pump inlet.



2. Pressure at the pump outlet.



3.Pressure at the hydraulic motor inlet.



4.Pressure at the hydraulic motor outlet.



5.Power removed from the fluid by the hydraulic motor






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