Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

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1. The previous season you could recuperate only 25% of your initially stored energy, but this season a big improvement in your drivetrain allows you to recuperate 63% of the initially stored energy. Knowing that you had 9.6 kWh of energy in your accumulator during the last season, how much energy must your new accumulator have, if you assume, that it’s the same length and speed? Give answer in kWh to one decimal place.

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A cantilever is subjected to forces

. Determine the bar force

F_{S 8}

Given F1=F4=F, F2=F3=2F, a

a. 7.27F

b. 2.85F

c. -6F

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3. In a gas pipe, the gas pressure pG is measured using a U-tube manometer connected at the bottom. Above the meniscus of the measuring liquid (mercury with density ρQ) on the gas side, there is a column of water with height h₂ and density ρW.
Question:
What negative pressure △pU (vacuum) exists in the pipe compared to the external pressure p₀?

Result in Pa, two decimal numbers seperated by a point (exp. 15.3). Do not put the Unit in the field below.

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4. in m, to decimal numbers seperated by a point (example: 150.00), no unit requirment for the solution

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What temperature would occur at the stagnation point of an aircraft flying at a speed of

V_{1} = 2000 km/h

, assuming that the air behaves as an ideal gas under these conditions? The temperature of the undisturbed air is theta_1 = -30°C.

a. 254.53°F

b. 308,.64°F

c. 177.06°F

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6. Calculate the cornering speed during Skidpad (you can use the centerline radius in the rules) using following information:

μ_y = 1.4, m = 240 kg, c_L = 3.2, A = 1 m^2, ρ = 1.1 kg/m^3

It is assumed, that there is no weight transfer and all 4 tires are at the optimal grip level. Answer in m/s rounded to one decimal place.

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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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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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9. 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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10. If the density of aluminium is 2.71 kg/m^3, find the volume of a 0.888 kg of aluminium. Give answer in m^3 with two decimal places.

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