Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

1 / 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.

2 / 10

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.

p2 = p1 * (V1/V2)^gamma
gamma= 1.4

3 / 10

An air as an ideal gas expands adiabatic from a volume of V1 = 1,00l with its pressure of p1 = 10^5 Pa to 1/10 of its original pressure. What volume V2 (in litres) does the gas reach after it’s expansion? Round to two decimal places

4 / 10

A cat of mass 12 kgs ran at 65mph. What is its kinetic energy? Answer in J to the nearest whole number

5 / 10

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.

6 / 10

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.

7 / 10

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).

8 / 10

Calculate delta_h1 and delta_h2 in mm (integers), seprate the value with a comma, no space in between, delta_h1 is the first value (exp.: 126,4)

9 / 10

Calculate the Normal force on the rear left tyre during the first skidpad lap. You can assume, that your vehicle is in a steady-state condition and that there is no longitudinal acceleration. Further it can be assumed, that all 4 wheels have a lateral grip coefficient of 1.4. You can use the centerline radius stated in the rules. Following information regarding the vehicle are given. Give answer to nearest whole number in Newtons.

m = 220 kg

Cl = 3.8

A = 1 m^2

Rho = 1.1 kg/m^3

Wheelbase: L = 1.53

Trackwidth:t = 1.2 m

Height of CG: h = 0.2 m

Weight distribution/COP: 50%

10 / 10

During last year acceleration a top speed of 100 km/h was reached. Due to big improvements in the new drivetrain, the new vehicle reaches a top speed of 120 km/h. The aerodynamics chief has some worries about the stability of the rear wing bracing due to the higher aerodynamics load. Given the geometry below, by how much % does the bearing force in point A change in comparison to last year? (The aerodynamic package did not change and therefore some values can be assumed for both vehicles). Give answer rounded to one decimal place.

CL=3.8 CD=1.2 A=1 m² rho=1.1 kg/m³ L1=50 mm L2= 100 mm H1= 125 mm H2= 165mm

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