(Solved): The Figure presents a circuit diagram of a hydraulic system. The two cylinders are identical single ...

The Figure presents a circuit diagram of a hydraulic system. The two cylinders are identical single acting cylinders with diameter \( 15 \mathrm{~cm} \) for each. The system is designed to move two different objects at constant velocity \( (v=0.1 \mathrm{~m} / \mathrm{s}) \) by opening the control valve. The working fluid is oil (kinematic viscosity \( =0.0001 \mathrm{~m}^{2} / \mathrm{s} \) and \( \gamma \) \( =8800 \mathrm{~N} / \mathrm{m}^{3} \) ). The conductors are steel tubes located in horizontal plane with uniform diameter of \( 2.5 \mathrm{~cm} \) and the lengths \( (a-t o-b=8 \mathrm{~m}, \mathrm{~b}-\mathrm{to-c}=2.5 \mathrm{~m} \), and \( \mathrm{b} \) to-d \( =5 \mathrm{~m} \) ). The elbows are standard elbows with \( \mathrm{k} \)-factor equal \( 0.9 \), the head losses in the control valve (CV) and the tee at point \( b \) are neglected. (Important: It is necessary to write all the used equations and then substitute the given numerical values to obtain the answers of the questions with the required units). Figure 1: Complete hydraulic controlled system. Q1.1 (4 pts) Calculate the flow rate of the pump. Q1.2 (15 \( \mathrm{pts}) \) If the force \( \mathrm{F}_{1}=1000 \mathrm{~N} \), calculate the force \( \mathrm{F}_{2} \). Q1.3 (10 pts) The required output pressure of the pump. Q1.4 (6 pts) The hydraulic power (hp) of the pump and the mechanical power (hp) of each hydraulic cylinder. Q1.5 (5 pts) The overall efficiency of the hydraulic system