please only solve for 5.11 a and b thank you!
5.7 Oil (sp. gr. =0.8) flows smoothly through the circular on a flat plate held at an angle a to its axis. Gravitational forces reducing section shown at 3 ft/s. If the entering and leaving are to be neglected. velocity profiles are uniform, estimate the force that must be a. Determine the total force on the plate, and the breadths a, b, applied to the reducer to hold it in place. of the two branches. b. Determine the distance 1 to the center of pressure (c.p.) along the plate from the point 0. (The center of pressure is the point at which the plate can be balanced without requiring an additional moment.) P= 5 psig P =50 psig D = 2.5 in. D= 12 in. 5.8 At the end of a water pipe of 3-in. diameter is a nozzle that discharges a jet having a diameter of 1/2 in into the open atmosphere. The pressure in the pipe is 60 psig (pounds per square inch gage), and the rate of discharge is 400 gal/min. What are the magnitude and direction of the force necessary to hold the nozzle to the pipe? 59 A water jet pump has an area A;=0.06 ft and a jet velocity v = 90 fps, which entrains a secondary stream of water having a 5.12 A plate moves perpendicularly toward a discharging jet at velocity vs = 10 fps in a constant-area pipe of total area A=0.6 the rate of 5 fps. The jet discharges water at the rate of 3 ft/s and ft? At section 2, the water is thoroughly mixed. Assuming one- a speed of 30 fps. Find the force of the fluid on the plate and dimensional flow and neglecting wall shear compare it with what it would be if the plate were stationary. a. find the average velocity of mixed flow at section 2; Assume frictionless flow. b. find the pressure rise (P2 - P), assuming the pressure of the 5.13 The shock wave illustrated below is moving to the right jet and secondary stream to be the same at section 1. at wwfps. The properties in front and in back of the shock are not a function of time. By using the illustrated control volume, show that the pressure difference across the shock is P2 - P = Power U2 P2 P2 V2 P1 P1 V = 0 5.10 If the plate shown is inclined at an angle as shown, what are the forces F, and F, necessary to maintain its position? The flow is frictionless. v = 100 fps in 2 slugs/s 5.14 If the shock-wave velocity in Problem 5-13 is approxi- mated by the speed of sound, determine the pressure change causing a velocity change of 10 fps in a. air at standard conditions b. water 5.15 Consider the differential control volume shown below. By applying the conservation of mass and the momentum theorem, show that dP + pudu + gdy = 0 5.11 A steady, incompressible, frictionless, two-dimensional jet of fluid with breadth h, velocity v, and unit width impringes
