Water of density ρ=998.2 kg/m flows through a fireman's nozzle—a converging section of pipe that accelerates the flow. The inlet diameter is d1= 0.100 m, and the outlet diameter is d2 = 0.050 m. The average velocity, momentum flux correction factor, and gage pressure are known at the inlet (1) and outlet (2). (a) Write an expression for the horizontal force Fx of the fluid on the walls of the nozzle in terms of the given variables. (b) Verify your expression by plugging in the following values: β1 = 1.03, β2 = 1.02, V1 = 4 m/s, P1,gage =123,000 Pa, and P2,gage =0 Pa.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Assuming compressible flow of air and that the measurements are done at flagstaff a pitot static tube that gives the difference of total and static pressure measures 0.35 m of mercury. what is the velocity of air? assume the temperature to be 300k. (submit your excel or matlab calculation sheet)

Steam enters a converging nozzle at 3.0 mpa and 500°c with a at 1.8 mpa. for a nozzle exit area of 32 cm2, determine the exit velocity, mass flow rate, and exit mach number if the nozzle: negligible velocity, and it exits (a) is isentropic (b) has an efficiency of 94 percent