Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

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1. The given gearbox consists of two gear sets with wheels 1, 2 and 3, 4 respectively. The wheels are fixed to their shafts. Calculate the drive speed (in rpm) of wheel 4?

Given: n1=600 rpm, z1=18, z2=90, z3=24, z4=120

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2. A team is in the process of validating the compliance of the shoulder harness bar used in their car. Choose the part in which their configuration is incompliant:

a. The attachments are positioned 220 mm apart, measured center to center, and have a thickness of 1.7 mm

b. The steel tube has a thickness of 2 mm, and a 0.26% in carbon and 1.7% manganese content

c. From the driver’s shoulders rearwards to the mounting point or structural guide, the shoulder harness is 8° above the horizontal

d. The bar is bent (not straight) and the team uses an analysis method of inducing 7kN to each attachment in the horizontal plane to prove compliance

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3. Calculate the force Fc working at point C. Give answer in kN rounded to one decimal place.

Forces at point A: Rax = 3kN, Ray = 9kN, Ma = 10kN/m

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How high (in m) can a column of liquid be lifted by a reciprocating piston, neglecting leakage and losses, if the air pressure is 101300 Pa and the pressure p₁ approaches zero?

Example Input 14.3 (use a point, no unit)

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5. Using an indicator, the cylinder pressure can be plotted as a curve over the piston stroke. The curve recorded for the compression stroke of an internal combustion engine can be approximated by the relationship p⋅V^n=const..
What is the amount of work done by the volume change if the following values are given?

given: V_1=10^-3 m^3; p_1=0.1 MPa; p_2=3 MPa; n=1.3

Round to one decimal number seperated by a point. Input in Joul without writing the unit in the field below (example: 152.9).

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6. Before the endurance you pump nitorgen in your tires at a temperature of 20°C and 0.7 bar relative pressure. Knowing, that during the endurance the maximal tyre temperature will be around 60°C, what will be the maximal relative pressure of the tyre? Give answer in bar to two decimal places.

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7. Calculate the maximum possible cornering speed (in kph) for the following FSAE car when going through a 20 m radius corner.

m = 260kg; cl *A * Rho = -6 kg/m; Tyre coefficient of friction = 1.5; g = 9.81 m/s^2.

The vehicle can be treated as a point mass, driving resistances neglected. Round to 1 decimal

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8. An object is fired vertically upwards from the ground at time t = 0 s in still air at a speed of 8.0 m/s. On the way up, what is the height of the object above the ground when it has a speed of 2.0 m/s. At what time does it reach this height on the way down? Give both answers separated by a comma to one decimal place.

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An air stream

dot{M}_L = 5.5 kg/s,

cp_L=1 kJ/(kgK)

is to be heated in a plate heat exchanger from

θ_L′=20∘C

θ_L′′=150∘C

. For this purpose, a flue gas stream

dot{M}_R = 7.22

cp_R=1.1 kJ/(kgK)

with a temperature of

θ_R′=300∘C

is available. The overall heat transfer coefficient is

W/(m^2*K)

.
What is the required heating surface AAA if the fluid streams are arranged in counterflow?

a. 281,7 m^2

b. 314,12 m^2

c. 328,1 m^2

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10. Your team is the first car at the design event during FSN2022 and it’s quite cold for this time of the year, 12 degrees C. To impress the judges, you decide to make some tea for them. What is the minimum required time to prepare the tea, knowing that you have to boil 4 tea cups of 370ml each and you have an electrical heater with a power of 500W. Give your answer to the nearest whole number in secs.

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