blem 3-22 Determine the governing equations for the fluid heights in the tanks for the two-tank systems in cascade, as shown in Fig. 3.49. 4(0) A₁ R₂ 4(1) 4, R₂

The Super Soaker XP30 is a marvel of hydraulic dispersion weaponry. By pumping on the handle, you charge the chamber to high pressure. The pressure is maintained until you pull the trigger at which point the water (? = 1000 kg/m3) is released at high velocity.You have charged your pressure chamber to an absolute pressure of P1 = 697500 Pascals, much higher than today's outside air pressure of 101300 Pascals. The pressure chamber is location at a height of y1 = 0.103 meters above the exit point. The exit point has a small opening with radius r = 0.0033 meters.Determine all the following:The velocity at which the water exits the Super Soaker: v2 =  m/sThe mass flow rate through the exit:  kg/secThe volume flow rate through the exit:  m3/secNOTE: You may treat the water chamber as a "tank" and approximate the water velocity there to be zero.

Q.1- The water level, h (t), is controlled by an open -loop system as shown in figure below. A dc motor controlled by an armature current i turns a shaft , opening a valve. The inductance of dc motor is negligible that is, L = 0.Also the rotation friction of the motor shaft and valve is negligible .That is,C=0,The height of the water in the tank is h(t) = [(1.60(1) -h(t)) dt. The motor constant is K=10, the inertia of the motor shaft and valve is J=6x10³ Kg.m² and back e.m.f constant K, = 0.0706V/(rad/s). Determine i-The deferential equation for h(t) and V(t). ii-The transfer function H(s)/V(s). Amplifier 10:41 4.-50 07 Valve MD) 41)

Problem 2: Control volumes and Bernoulli's equation A large open tank of water is mounted on frictionless wheels as shown in Figure 2. The tank has one orifice on each side. The left orifice is located at a distance h from the free water surface and has a diameter d. The right orifice is located at a distance ah from the free water surface and has a diameter ẞd. αh h Bol V₂ Figure 2: Open tank on wheels. 1. Use Bernoulli's equation to calculate the exit velocities at the left and right orifices, v₁ and V2. 2. Determine an equation relating a and ẞ if the tank does not move.

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