(Solved): The inclined manometer at Fluid Dynamic laboratory at E5 has broken. You are tasked to design a new ...

The inclined manometer at Fluid Dynamic laboratory at E5 has broken. You are tasked to design a new inclined manometer as shown in Figure 1. Figure 1 The design task is to determine: [Find the following-assume them first and then see if requirements are met] (i) what is the proper manometric fluid to be used. What is the density of the fluid? (ii) what is angle of inclination (?), (iii) what is the length of the vertical leg \( \left(L_{1}\right) \) and inclined leg \( \left(L_{2}\right) \) Given: [Conditions that must be satisfied by your answer] (i) Range of pressure to be measured : \( 150 \mathrm{~Pa} \) (minimum) to \( 1000 \mathrm{~Pa} \) (maximum) (ii) The manometer should fit in a compartment which has \( 30 \mathrm{~cm} \)-height and \( 100 \mathrm{~cm} \)-length. The inclination angle should be at least \( 5^{\circ} \). (iii) The temperature in the lab is \( 30^{\circ} \mathrm{C} \). (iv) The minimum displacement when measuring the smallest pressure should be \( 2 \mathrm{~mm} \). (v) Manometer is open to the atmosphere. Your design report should contain a. Iterative calculation in designing the manometer.