Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

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1. A racing car rolls to a stop on a horizontal course with an initial speed of v. It decelerates
only by friction with a rolling resistance of μF, which is supposed to be independent of
the current velocity.
What is the distance s the car needs to stop?
v = 300 km/h, μF = 0.15, g = 9.81 m/s2.
Give your answer in meters, rounded to four significant places.

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A metal piece heated to

θ_1,M=1000∘C

with a mass of

M_M=6.5 kg

was cooled in a completely heat-insulated iron container filled with water. The mass of the water in the container is

M_W=10 kg

and the mass of the container is

M_B=2 kg.

The initial temperatures of the water and the container were the same and amounted to

θ_1,W=10∘C

. After complete thermal equilibrium between the immersed metal piece, the water, and the container, a temperature of

was established.
What is the average specific heat capacity of the metal piece

c

in the temperature range between

and

Input the result in kJ/(kg*K), round to 3 decimal numbers sperated by a point (example: 0.136).

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3. 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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4. A lorry contains an engine with a power of 0.255 W. The lorry drives for 51 s. Calculate the energy transferred in Joules and round to one decimal places.

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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. 328,1 m^2

b. 281,7 m^2

c. 314,12 m^2

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6. An object is fired vertically upwards from the ground at time t = 0 s in still air at a speed of 9.6 m/s. On the way up, what is the height of the object above the ground when it has a speed of 1.9 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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7. 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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8. in m, to decimal numbers seperated by a point (example: 150.00), no unit requirment for the solution

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9. 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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10. A spring in a car’s suspension has elastic potential energy store 226 J. If the spring constant is 8.1N/mm, find the extension. Give answer in meters to three significant figures.

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