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#71inputverified

Your team decides to use aluminum cables instead of copper to save weight. As there is no proper sizing table for these cables you try to calculate the proper fusing value yourself. The cross-section of one cable is A. You measured the thickness of the insulation which is t. From previous experiments you know, that the cables will face a maximum ambient temperature of Tamb inside your vehicle and that the heat transfer coefficient between the wire and ambient through the insulator is λ. The coefficient is estimated in relation to the average diameter of the conductor and the conductor with insulator. Which fuse value must be chosen to have the maximum possible current without exceeding a temperature of Tmax inside the cable. The fuses are available in 1 A size steps. The fuse is considered to be ideal, i.e. it trips immeadiately if the rated current is exceeded. The resistivity of aluminum is assumed to be ρAL The linear approximation for temperature dependence with the temperature coefficient α is used. The following conditions are assumed: cross section of cable A = 2 mm2 thickness of insulation t = 0.36 mm maximum ambient temperature Tamb = 50 °C maximum wire temperature Tmax = 70 °C heat transfer coefficient between wire and insulator λ = 6 mW / (K * m) resistivity of aluminum ρAL=26.4 nΩm temperature coefficient α=0.0041 1/K Enter the calculated fuse size.

FSG 2021
#72single-choiceverified

How much does the customer price (incl 19 % VAT) for a sportscar need to be, in order to achieve a net present value (NPV) for the program at decision (year 1) of 100.000.000 € (one hundred million), considering that it will need an investment of 50.000.000 € (fifty million) in year one. The program will sell 500 cars per year in year 2,3,4 and 5 and ends after that. In year 6 the tools and intellectual property can be sold for 10.000.000 € (ten million). The cost of capital/interest rate is 7.5 % per year (WACC). The cars are sold with a calculated gross margin of product of 40 %. The customer price is assumed to be constant over all years.

FSG 2021
#75inputverified

An idealized FSE vehicle is driven by 4 identical, ideal wheel hub drives (no losses, no inertia) and has a weight distribution of 50/50. The aerodynamic balance is 50/50 as well and independent from vehicle speed. The following diagram shows the wheel torque (of one single wheel) T over the vehicle speed v for a perfect full accelaration without wheel slip. Calculate v1 and v2 as shown in the picture in km/h. Dynamic load transfer is neglected. The motor is assumed to be limited only by its maximum torque and maximum power. Given parameters: Vehicle mass m = 190 kg dynamic rolling radius of each tire rdyn = 200 mm aerodynamic lift coefficient of the vehicle cl = -1.25 aerodynamic cross sectional area of the vehicle A = 1.3 m2 tire friction coefficient μ = 1.2 gravity g = 9.81 m/s2 air density ρAir = 1.2 kg/m3 maximum wheel torque (each) Tmax = 130 Nm maximum wheel hub drive power (each) Pmax = 20 kW Round both solutions to one decimal place. Give the solution in the following format: v1, v2, e.g. 1.2, 3.4

FSG 2021
#76inputverified

During Autocross, a Formula Student vehicle accelerates from 30 km/h to 100 km/h. Assume that there is no friction and no aerodynamic drag. The mass of the vehicle is m = 190 kg. The amount of energy needed for this accelaration is denoted by E. What would be the theoretical velocity vc if the vehicle is accelerated from standstill using the same amount of energy E? Enter the solution in km/h and round to one decimal place. What would be the theoretical velocity vF of Fred, the FSG race Alpaka as shown in the picture, accelerating from standstill and using 1/10th of the energy E? Fred's initial mass in standstill is 50 kg. When reaching 20km/h, Fred will loose 750g of mass in no time. Assume, that the lost mass does not provide any thrust and has no initial relative velocity with respect to Fred. Fred is free of friction and aerodynamic drag. Round both solutions to one decimal place. Give the solution in the following format: vc, vF, e.g. 1.2, 3.4

FSG 2021
#77inputverified

Your front hoop bracing member consists of a round straight tube made out of baseline material with the dimension 25.4 mm outer diameter and 1.6 mm wall thickness and a total length of 968 mm. What is the percent increase of the bending stiffness (defined as EI) if you use a round straight closed section tube with the dimension 30 mm outer diameter and 1.5 mm wall thinkness. Round solution to one decimal place. How much percent increase the weight for this tube? [r=7.874 g/cm³] Round Solution to one decimal place. Give your answer in the following format: stiffness inc., weight inc. Example: if the stiffness increase is 45,6% and the weight increase is 23,4% then use 45.6, 23.4 as answer value.

FSG 2020
#78single-choiceverified

Which Brake System Plausibility Device (BSPD) cricuit is allowed according to the rules? Assume the threshold voltages VHi and VLo to be properly set, and both the brake pressure sensor as wall as the tractive system current (P) / throttle position sensor (TPS) to have a positive slopw. The power-on-reset (PoR) signal is assumed to switch from low/false to high/true shortly after the power supply for the circuitry is turned on. If there is a high/true input signal to the MOSFET power stage, the MOSFET is in conducting mode. There is only one correct cirucut!

FSG 2020