Question

Name:AbalYauni Test 03Show Your Work EGR 212 31 One of the most advanced methods for cutting metal plates uses a high-velocity water jet which carries an abrasive garnet powder. The jet issues from the 0.01-in.-diameter nozzle at A and follows the path shown through the thickness t of the plate. As the plate is slowly moved to the right, the jet makes a nar- row precision slot in the plate. The water-abrasive mixture is used at the low rate of 1/2 gal/min and has a specific weight of 68 lb/ft3. Water issues from the bottom of the plate with a velocity which is 60 percent of the impinging nozzle velocity. Calculate the horizontal force F required to hold the plate 30° Nozzle 45 against the jet. (There are 231 in.3 in 1 gal.)

Answer 1

Diameter of the nozzle, d = 0.01 in Flow rate, Q-gal/min 1 231 2 60 = 1.925 in/s specific weight, γ=68 lb/ft3

30° Nozzle 450 nsin 30 V. in sin 45° ex,1

Mass flow rate, m-rO 68 1.925 32.2 12 2.352x10 slug/s By the equilibrium Δν,-(v, sin 45°)-(-y sin 30°) Where = 1 225.5 sin 45° + 2042.5 sin 300 1887.81fus F-2.352x 10-3 ×1887.81 4.4401 3 lb F = 4.44 lb

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