FSG#006
1)
A) (5/7)*R
B) (7/5)*R
C) (2/5)*R
D) (5/2)*R
2) A body is dropped from rest at a height h above the surface of the earth and at a latitude 40 degrees N (Anti-clock wise). For h=100m and ω equal to the rotational speed of earth. Calculate the lateral displacement of the point of impact due to the Corliolis force. Ignore second order of ω terms and velocities Vx, Vy. Round to the 3rd decimal and answer in m.
3) For this cylinder we know the following: Rin = 1.8m, L=5.5m, t = 20mm (of the wall), E = 200GPa, v=0.3, Pinside = 800kPa. Calculate: a) The maximum shear stress of this cylinder. b) The normal and the shear stress on the weld (a=65 degrees) and c) the change in the volume of the material. Answer in MPa and dm^3. Format: xx.x, yy.y, zz.z, ww.ww. (Ignore extra decimals).
4) You are driving a car that weights 800kg. The center of gravity is measured at 0.5m from the ground. The wheelbase is 200cm. You are driving downhill at an angle of π/6 rad. As you are driving with 20m/s you see an obstacle 50 meters ahead of you. So, you hit the brakes with the minimum requirement for the brake padal rule while the pedal ratio is 1.5. The master cylinder's area is 20mm^2 and the area of each piston is 10mm^2. Each front wheel has 2 pistons and each rear wheel has 4 pistons. The brake bias is 50%. Consider a weight bias of 55% rear and ∇a = 0 where a is the deceleration of the car. Your rear tires are new and have a coefficient of friction of 1.1 while the front tires are worn so they only have a coeffecient of friction fo 0.8
A) Lack of grip
B) Tires will leave the ground
C) Inadequate brake force
D) You will lock two of your tires.
5) You have a car with an engine that produces 76hp at 9000rpm. You are given the following ratios. Primary ratio = 2.22, Gear ratio = 2.8 and Final ratio = 3.95 and your car is RWD. Also the differential lock-up is 76.92%. Your car's rear right wheel is on a surface with oil from another car's mechanical failure while your rear left is ok. You know the Fx-Slip ratio diagrams for both of your tires. You use the following tires: 405/720 R18. What is true?
A)The rear right tire will slip.
B) The rear left tire will slip.
C) Both tires will slip
D) Neither of the rear tires will slip
6) Carbon dioxide enters a converging-diverging nozzle at 60m/s, 310 C and 300kPa and it leaves the nozzle at a supersonic velocity. Which is the velocity of carbon dioxide at the front of nozzle? (Answer in m/s).
7) Your car's engine can produce 53 N*m of torque. The input speed is 11000 1/min. Drive shaft gear wheel = 40, countershaft input side gear wheel = 92, countershaft output side gear wheel = 26, output gear wheel = 110 and the final gear ratio is 3.7. The differential lock-up is 0%. The slip ratio can be measured from a haul sensor, and we see that it is 12%. Your team uses the following tire: 310/700 R14. You also have ride height sensors and can see that the front ride height has been displaced downwards by 7mm and the rear ride height has been displaced by 5mm downwards. Moreover, your motion ratios are all 1 and you know the following. CoPz = 0.415m, Pitch Center z = 0.01m, Wheelbase = 1.6m, Pitch Center x = 0.95m. Also you need to consider the aerodynamics effect. To do that we are given aerobalance = 50% front, ρair = 1.25kg/m^3, Cd=1.2, Cl/Cd = 2.75, A=1.3m^2. What are the front and rear spring rates? (Consider that the car has achieved steady-state and that the sensor pick up only the ride height change due to the aerodynamic forces. Also, the springs left and right in each axle are the same).
A) kfront = 18.1508 N/mm and krear = 22.5761 N/mm
B) kfront = 14.167965 N/mm and krear = 16.72735 N/mm
C) kfront = 28.33593 N/mm and krear = 33.4547 N/mm
D) kfront = 31.3141 N/mm and krear = 34.2811 N/mm
8) The reaction Ra is:
A) 42.45
B) 40.625
C) 56.775
D) 54.375
9) Your team got the same points as the team which finished 4th in the acceleration event in FSG 2022 and the best time recorded is 5 seconds. What is your team's corrected time?
A) 5 sec
B) 5.33 sec
C) 5.81 sec
D) 4.93 sec
10) Which of the following statements are true?
A) A master switch may be placed on the left side of the car
B) Only the ON position of the master switch must be clearly marked
C) The BSPD must be directly supplied from the LVMS
D) The inertia switch must not include any semiconductor components
E) At least one sensor must be used as APPS
F) Only sensors and components influencing system critical conditions must be securely mounted
11) Your team has completed the mechanical inspection and the tilt test and is on its way to the noise test. If you successfully pass the noise test, how many tests will be carried out regarding your shutdown circuit?
12) The current amplifier given below is having the internal resistance varying from 2kohm to 10 kOhm and the load resistance varying from 10 Ohm to 100 Ohm .If the input signal having the constant current of 1mA is amplified to 0.8A with the output variation of 3%, find the current gain, input resistance and output resistance. (Answer in format g = 111, Ri = 11.11 Ohm, Ro = 1.11 Kohm)
13) You made some tests to find the optimum pressure of your tires and got some data points. Then you fitted the equation and lost the data points because your pc crashed. Which is the optimum pressure if you know the following equation: 60*F(P)'' + F'(P) + F(P) = 5, F(0) = 2, F'(0) = 1. The P is in psi and F in newton.
A) Approximately 11 psi
B) Approximately 12 psi
C) Approximately 15 psi
D) Appriximately 9 psi
14) Team A is taking 35% of static event points for the CV Cup, 67% of the dynamic event points for the CV Cup, 22% of the static points for DC Cup and 74% of the dynamic event points for DC Cup. Team B has collect 1.24 times the total points (CV&DC) of team A. How many points did the team B collect? (ROUND UP to no decimals)
A) 931
B) 1024
C) 1425
D) 1156
15) Your engine is a 4 cylinder for stroke honda with rated power of 59.65598976 kW. Each cylinder has a clearance volume of 24cc. Specific Volume is 7. Each cylinder has a 64,96060063mm bore. Your team tryies to pass the noise test at an air temprature of 20 Celsius. You are running your engine at constant RPM and your piston is moving with a velocity of 0,0444 times the speed of sound at the air during the noise test. At which RPM is the test being executed? (Answer type: just write the number)
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