Question No.1 (3.0 points) Consider the semi-trailer EMIRSAN 42000 LT fuel tanker shown below. When the tank is fully empty, the mass of the entire vehicle is 30 metric tons for tonnes. Find the following A The length (L), in meters of this cylindrical tank isradius ris 1.7 m B. The mass (in metric tons of the entire vehicle the tank is full of Kerosene the fuel density is 0.8/Lat 25C. The fuel has a uniform temperature of 25C EMIRSAN If an unknown fuel occupies 75% of the total tanker's capacity and the remaining 25% is kept empty. Identify the fuel type if the gross mass of the vehicle is 56.775 metric tons Fuel Type p/m") Kerum 820 Diese 850 Gasoline 720 Ation Fuel 790 Biodiesel 875 NOTE: Assume that the two ends of the horizontal tank are foarte not rounded and the wall thickness of the internal compartments is negle, smoothbore tank as shown below Smoothbore Tank Tank with Baffles Some engineers prefer to design fuel tankers by using an elliptical face. Consider the dimensions shown below. The empty vehicle mass is M tonnes. If the tanker is 100% full of fuel, what is the gross vehicle mass (in tonnes)? B Each group is assigned to use the following parameters: Dimensions Group Number & Properties 2 3 Fuel Kerosene Diesel Gasoline SG 0.8 0.89 0.71 A (ft) 2.43 3.22 2.73 B(ft) 3.28 4.25 3.64 L(ft) 44.42 30.47 38 M (tonne) 31 35 32 4 Aviation Fuel 0.78 2.05 2.75 53 27 5 Biodiesel 0.88 2.21 2.93 51 29 Take PH20 (at 4C) = 1,000 kg/m3 Question No.3: (2.5 points) Consider the displacer shown below. If the liquid inside the tank is pure water where the density equals 1000 kg/ml. Find the following: A. The area (A), in cm B. The maximum height (la, in cm. C. The minimum volume (Via), in cm! D. The minimum buoyant force (F.), in N E The maximum buoyant force (F.), in N. FT displacer A liquid Vonin ta Each group is assigned to use the following parameters: d(cm Iste (cm) Diameter (cm) Valom) Group 1 10 25 20 61261.06 Group 2 15 30 22 8933119 Group 3 20 35 21 7412117 Group 4 25 40 23 90158 21 Group 5 30 45 25 92775.16 + | Question No.4: (3.0 points) Suppose that in your final project, you have been asked to design an autonomous boat that can communicate offshore through satellite communication. For the first stage of your prototyping, you want to design the body of the boat and know how much weight it can carry. This is so important stage because you can decide the number, type, and model of equipment that can be mounted on the boat; such as sensors and transducers, Arduino or Raspberry PI telecommunication modules, power supply, batteries, charger, PV cells, etc. In the first stage, the body of your prospective autonomous boat is assumed to be very primitive. For that, the body is made of cork whose density equals po kg/m". An illustration is shown below. For safety reasons, It is assumed that the density of seawater equals that of pure water (p. = 1000 kg/m"). This is important to ensure that all your calculations are based on the lowest buoyant force. The cork dimensions are w x L x h. For this tiny phase of your project, your supervisor has asked you to determine the maximum mass of equipment (in kg) the boat can hold before completely sinking. Cork Tautonomi boot Sea Each group is assigned to use the following parameters: Dimensions Group Number & Properties 1 2 3 Pokem') 60 80 70 w (cm) 300 400 350 1 (cm) 600 800 700 h(cm) 15 18 25 4 100 500 1000 19 S 90 450 900 27 (Good Luck