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HW_7_problems

# HW_7_problems - riﬂe 30¢ owl/7 C I l l l i P3.46 When a...

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Unformatted text preview: riﬂe 30¢ owl/7 C I l l l i ! P3.46 When a jet strikes an inclined fixed plate, as in Fig. P346, it breaks into two jets at 2 and 3 of equal velocity V = Vie, but unequal fluxes aQ at 2 and E (l - a)Q at section 3, oz being a fraction. The reason is that for frictionless ﬂow the ﬂuid can exert no tangen- " tial force F, on the plate. The condition F, = 0 enables us to solve for a. Perform this analysis, and ﬁnd a as a function of the plate angle 6. Why doesn’t the answer depend on the properties of the jet? The jet turns P3.6l. ocQ, V evaluate the horizontal force F required to hold the tank and falls into the tank without spilling out. If 6 = 30°, stationary. frictionless wheels, as in Fig. P3.61 A 20°C water jet strikes a vane mounted on a tank with In m P3.46 P3.73 A pump in a tank of water at 20°C directs a jet at 45 ft/ P351 A liquid jet of velocity V,- and area Aj strikes a single 180° and 200 gal /min against a vane, as shown in Fig. 133.73 bucket on a turbine wheel rotating at angular velocity 9’ Compute the force F to hold the cart stationary if the je as in Fig. P351. Derive an expression for the power P follows (a) path A or (b) path B. The tank holds 550 ga delivered to this wheel at this instant as a function of the of water at this instant. system parameters. At what angular velocity is the maxi- mum power delivered? How would your analysis differ if there were many, many buckets on the wheel, so that the jet was continually striking at least one bucket? 4—— B ucket , r Jet l Wheel, radius R P351 P3.73 :3 P3-49 The horizontal nozzle in Fig. P3.49 has D1 = 12 in and D2 = 6 in, with inlet pressure pI = 38 lbf/inzabsolute and V; = 56 ft/s. For water at 20°C, compute the horizontal force provided by the ﬂange bolts to hold the nozzle ﬁxed. P3.49 ...
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