An unbalanced centrifugal pump of mass 50kg produces an out-of-balance force of 2kN and is supported by four springs. Each spring has stiffness constant 10KN/m as shown. If the pump operates at 800rpm, determine the natural frequency of the system. Pump O wn = 30 rad/s O wn 20 rad/s Own = 28. 28 rad/s O wn 14. 14 rad/s
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- An unbalanced centrifugal pump of mass 50kg produces an out-of-balance force of 2kN and is supported by four springs. Each spring has stiffness constant 10kN/m as shown. If the pump operates at 800rpm, determine the natural frequency of the system.The characteristic given below refers to a main fan running at 8 rev/s and moving air with a density of 1.0 kg/m3. The fan is to be installed underground, operating against a mine resistance of 0.067 Ns2/m8, and will handle air at a density of 1.2 kg/m3. A natural ventilation pressure of 250 N/m2 assists the fan. Noting that mine airway friction factor, K, varies with air density, determine (i) the speed at which the fan must run to give a volume flow rate of 165 m3/s; (ii) the pressure produced by the fan at the new speed. Fan characteristic Volume flow rate, m3/s 50 80 100 125 150 175 Fan pressure, N/m2 1300 1375 1325 1190 985 730A Pelton wheel is designed for producing a mechanical output of12,000 kW while working under a head of 400 m and running at 750rpm. If three jets are used for running the wheel then determine theoverall efficiency of the wheel. The jet diameter is one-fifth of thewheel diameter and the speed ratio is 0.48. Assume a proper value forthe coefficient of the nozzle.
- A 3-bladed wind turbine with 250 kW generator has diameter of 50 m and tower height of 60 m. It is designed to have Cp of 0.25 at wind speed of 12 m/s when regulation starts. The cut-in and furling Speeds for the machine are 5 m/s and 20 m/s respectively. Mechanical and electrical efficiencies are 90 % and 95 %. By assuming the density of air as 1.225 kg/m3. Calculatea. What is power developed by the rotor at 12 m/s when regulation starts? b. If the tip-speed ratio at this wind speed is 4.2, then what is the rpm of the rotor? c. Calculate the actual torque developed. d. Calculate the maximum possible annual power output.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. What is the Static efficiency of the fan if the air flow rate is equal to 3.8 5m /sec, total head of 68.72 m, velocity head of 30.86 m, mechanical efficiency and power are 39.12% and 35.72 KW at 30.69°C, respectively. b. Solve for the area at entrance of the fan blade, if the it has a 346mm diameter, flow of air is equal to 23.328 m/se and flow rate of 3.05 m³ /second.
- The discharge through pump is 0.04 cu. m per sec and velocity of flow is constant and equal tp 2m/s. The internal and external diameter of an impeller of a centrifugal pump are 200 mm and 400 mm, respectively, which is running at 1000rpm. The diameters of the suction and delivery pipes are 140 mm and 90 mm respectively and suction and delivery heads are 6m (abs.) and 30m (abs.) of water respectively. If the outlet vane angle is 45 deg and power required to drive the pump is 16 kW, determine: (a) vane angle of the impeller at inlet, (b) the overall efficiency of the pump, and (c) manometric efficiency of the pump.Q. A single stage impulse rotor has a blade ring diameter of 57.5 cm and rotates at a speed of 10,000 r.p.m. The nozzles are inclined at 20o to the direction of motion of the blades and the velocity of the issuing steam is 1,050 m/sec. Determine the inlet blade angle. Assume a friction coefficient of the blading equal to 0.85 and that the inlet and outlet angles are equal. Find also: (a) the power developed at the blades for a steam supply of 1,350 kg per hour (b) the diagram efficiency, and (c) the loss of kinetic energy due to blade frictionThe turning moment diagram for a multi cylinder engine has been drawn toa scale of 1 mm = 4500 N -m vertically and 1 mm = 2. 4 ͦ horizontally. Theintercepted areas between output torque curve and mean resistance lineabove and below the mean taken in order from one end are 342, 23, 245,303, 115, 232, 227, 164 ??2, when the engine is running at 150 rpm. Ifthe mass of the flywheel is 1000 kg and the total fluctuation of speed doesnot exceed 3% of the mean speed, find the minimum value of the radius ofgyration.
- A pump draws water from an 8 in. suction pipe and discharges through a 6 in. pipe in which the velocity is 12 fps. The pressure is –5 psi at point 1 in the suction. The 6 in. pipe discharges horizontally into the air. The power delivered to the pump is 30hp whose efficiency is 70. Determine: a. the water horsepower 21 18 15 b. the total dynamic head in feet 94.316 78.564 67.369 c. To what height h in feet above the suction gage can the water be raised? 81.716 65.498 54.303 please answer immediately thankyouFind the energy dissipated during a cycle of simple harmonic motion given by x(t) =0.2sinωdt meters by a viscously damped single-degree-of-freedom system with thefollowing parameters: m = 10 kg, c = 54 N.s/m, k = 1,000 N/mAn impulse turbine of 3 m diameter is rated at 10000 kW at 300 rpm under a head of 500 m. The turbine is operated under the head of 400 m. What is the power developed?