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In a Pelton-wheel turbine, a stream of water is deflected by a series of blades so that the rate at which water is deflected by the blades is equal to the rate at which water issues from the nozzle
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Vector Mechanics for Engineers: Dynamics
- A launch vehicle has 6 engines operating in parallel which are fed from the same propellant tank. Initially, each engine has an equivalent exhaust velocity of 3500 m/s and consumes 400 kilograms of propellant per second. One of the engines malfunctions and consequently operates at 50% thrust and 120% propellant consumption. Calculate the equivalent exhaust velocity in m/s of all engines if treated as a single engine, including the malfunctioning engine in your calculation.arrow_forwardConsider an airplane with a jet engine attached to the tail section that expels combustion gases at a rate of 18 kg/s with a velocity of V = 300 m/s relative to the plane. During landing, a thrust reverser (which serves as a brake for the aircraft and facilitates landing on a short runway) is lowered in the path of the exhaust jet, which deflects the exhaust rearward 120 degrees, as shown below. Determine (a) the thrust (forward force) that the engine produces prior to the insertion of the thrust reverser and (b) the braking force produced after the thrust reverser is deployed.arrow_forwardA stream of water flowing at a rate of 1.2 m3/min and moving with a speed of 30 m/s at both A and B is deflected by a vane welded to a hinged plate. Knowing that the combined mass of the vane and plate is 20 kg with the mass center at point G , determine (a) the angle 0, (b) the reaction at C.arrow_forward
- A pump draws water from a reservoir A and lifts it to reservoir B. The loss of head from A to point 1 is 3 times the velocity head in the 150 mm pipe and the loss of head from point 2 to B is 25 times the velocity head in the 100 mm pipe. When reservoir A is a starting point at elevation 0 and connected to point 1, where point 1 is also connected with a pump and point 2 is at elevation 20 m. which is connected with a pump that travels to reservoir B at elevation of 240 m. The discharge is 25 liters/sec, compute the pressure head at point 1. a. 268 m b. 134 m c. 19.74 m d. 39.48 marrow_forwardA jet of water, having a velocity of 15 m/s, strikes a curved vane which is moving with a velocity of 6 m/s in the same direction as that of the jet at inlet. The vane is so shaped that the jet is deflected through 135°. The diameter of the jet is 150 mm. Assuming the vane to be smooth, find: (i) the force exerted by the jet on the vane in the direction of motion, (ii) power of the vane, and (iii) efficiency of the vane. [Ans. (i) 2443.5 N, (ii) 14.65 kW, (iii) 49.16%]arrow_forwardA jet of water from a nozzle is deflected through an angle θ = 60° from its original direction by a curved vane which it enters tangentially (see Fig. 5.5) without shock with a mean velocity C1 of 30 m s−1 and leaves with a mean velocity C2 of 25 m s−1. If the discharge A from the nozzle is 0.8 kg s−1, calculate the magnitude and direction of the resultant force on the vane if the vane is stationary.arrow_forward
- 43. A 30ft x 5ft diameter storage tank containing water at its maximum level is being drained by a drain valve located at the bottom of the tank. It was seen that the velocity of exit water changes as the height of the water level in the tank. At the instant the water level is at 10Oft from the bottom of the tank, determine the instantaneous time required to empty the tank if the drain pipe diameter is 25mm. a. 24.7184mins. b. 25.7277mins. c. 22.5647mins. d. 24.4060mins.arrow_forwardConsider an airplane with a jet engine attached to the tail section that expels combustion gases at a rate of 18 kg/s with a velocity of V = 300 m/s relative to the plane. During landing, a thrust reverser (which serves as a brake for the aircraft and facilitates landing on a short runway) is lowered in the path of the exhaust jet, which deflects the exhaust from rearward to 150°. Determine (a) the thrust (forward force) that the engine produces prior to the insertion of the thrust reverser and (b) the braking force produced after the thrust reverser is deployed.arrow_forwardReservoir A supplies water to a nozzle having diameter of 80 mm which discharge water 40 m below the reservoir water level at a velocity of 24 m/s. Determine the horsepower produced by the jet. a. 50.64 b. 49.32 c. 56.33 d. 46.33 note: indicate free body diagramarrow_forward
- Calculate the kinetic energy of a body of mass m moving with velocity u or the rate of transport of kinetic energy by a stream moving with mass flow rate m_ and velocity u. Calculate the gravitational potential energy of a body of mass m at elevation z or the rate of transport of gravitational potential energy by a stream moving with mass flow rate m_ at elevation z, where zis height above a reference plane at which potential energy is defined to equal zero.arrow_forward▼ Part A Two blocks, each of mass m = 7.60 kg, are connected by a massless rope and start sliding down a slope of incline 0= 40.0° at t = 0.000 s. The slope's top portion is a rough surface whose coefficient of kinetic friction is μ = 0.350. At a distance d = 1.40 m from block A's initial position the slope becomes frictionless. (Figure 1)What is the velocity of the blocks when block A reaches this frictional transition point? Assume that the blocks' width is negligible. Express your answer numerically in meters per second to four significant figures. ► View Available Hint(s) V= ||| ΑΣΦ Submit Part B Complete previous part(s) Part C Complete previous part(s) H Provide Feedback r O vec ? m/s C Review U ENG ☎4x Next > 7:49 PM 7/12/2022arrow_forward|(a) A drum is made to revolve about its centre by a falling mass as shown. Calculate the velocity of the falling mass and rotating drum when the mass descends 10 m with no frictional losses. Also calculate the energy gained by the drum. DRUM k = 0.3 im M = 15 kg MASS M= 12 kg Figure Q2a R=,0.4 im r = 0.2 marrow_forward
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