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- 1.The engine has a given capacity of 60kw, calculate the power requirement in a hydraulic system tool , to know that the engine is capable to support the hydraulic system if a pump delivers 110 liters per minute and the pressure is 227bar.2.If the area of A1 = 0.05 m˄2 and the area of A2 = 1.5 m˄2 , external input force F1 = 50 N, then the external output force F2 ?A generator driven by a wind turbine is required to deliver 5 MW of power at the generator terminals. The turbine is a two-blade propeller rotating about a horizontal axis and the maximum permitted shear stress of the turbine shaft is 55x106 N/m2 The rotor is designed to operate at a rotational speed of 45 revolution per seconds .The stage efficiencies are Cp 0.32, ngb = 0.90, ng = 0.92. %3D . (i) If the turbine delivers its rated power at a wind average speed of 22 m/s, calculate the corresponding diameter of the propeller and its TSR, assuming a typical value for the overall efficiency. The air density may be assumed to have a value 1.29 kg/m³. (ii) Calculate the torque on the turbine shaft.Va = 18 and e = 0.128
- A Pelton wheel is supplied with 12 kg/s of water at 20 m/s. The buckets rotate on amean diameter of 250 mm at 800 rev/min. The deflection angle is 165o and friction is negligible. Determine the diagrampower.The output torque of the turbine is 26.5 Nm.The pressure drop over the nozzles is 2.45 bar gauge. Assume the water densityis 1000 kg/m3 . Calculate:1. Mechanical efficiency.2. Hydraulic efficiency3. Overall efficiencyA flat belt, of density 1000 kg/m3 has a maximum permissible stress of 2·5 MN/m². Thebelt is 200 mm wide and 12 mm thick.(a) Determine the maximum power that can be transmitted if the ratio of tight-side toslack-side tension is 2. The diameter of the driving pulley is 900 mm and the required speed of the output shaft is955 rev/min(b) Taking the belt thickness into account, determine the required diameter of theoutput pulley. (c) What would the required diameter be, assuming a total slip of 4%? (d) If the mass of the belt was neglected, explain the effect (with reasons) this wouldhave on the maximum power calculated in (a)Problem 1a=140b = 290h = 235r = 93
- Q2: A: A hydro-electric station is operated with a mean head (h) of 30 m and consume (discharge water) 218.75 of water in one year for the average load. The expected load factor for the station is 80 0/0 . Calculate the power in Kw for which the station should be designed (max.load). Assume that the mechanical efficiency of the turbine is 90% and the efficiency of the generator is 95%. * 10 6 Pi ^ 31. A pelton type turbine was installed 30 m below the head gate of the penstock. The head loss due to friction is15% of the given elevation. The length of the penstock is 80 m and the coefficient of friction is 0.00093.Determinea) the diameter of the penstock in mm. (421.6 mm)b) the power output in KW (781.234 KW)A water pump is used to pump water from one large reservoir to another large reservoir that is at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure, as sketched in Fig. The dimensions and minor loss coefficients are provided in the figure. The pump’s performance is approximated by the expression Havailable = H0 − aV.2 , where the shutoff head H0 = 125 ft of water column, coefficient a = 2.50 ft/(gpm)2 , available pump head Havailable is in units of feet of water column, and capacity V. is in units of gallons per minute (gpm). Estimate the capacity delivered by the pump
- A pipe 50 cm in diameter carries water (l0°C} at a rate of 0.5 m 3 / s. A pump in the pipe isused to move the water from an elevation of 30 m to 40 m. The pressure at section 1 is 70kPa gauge, and the pressure at section 2 is 350 kPa gauge. What power in kilowatts and inhorsepower must be supplied to the flow by the pump? Assume h L = 3 m of water and α 1 =α 2 = 1. Find the following Draw the Schematic diagram Drive the energy equation Calculate pump head Power requirementThe ram and plunger of a hydraulic press are 150 mm and 25 mm in diameter respectively. With a plunger stroke of 30 cm, the press is able to lift a load of 1 tonnes through 1.5 m in a times of 25 min. Area of the plunger Calculate 1-area of the plunger 2-N0 of stroke 3_area of ram 4_area of the ram plunger 5-power required to drive the plungerCalculate the power required to pump water at 120 kg/s from a supply tank, through an 18 cm diameter galvanised iron pipe to a storage tank located 12m above the supply tank. The length of the pipe is 70 m. All losses other than friction losses are ignored. [Hint: Use Moody Diagram] (For water, ρ = 1000 kg/m3, μ = 1.003 x 10-3 Pa.s)