Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

1 / 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.

2 / 10

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.

3 / 10

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

4 / 10

A helicopter of mass 4200 kg is carrying a crate using a light extensible rope. The crate has a total mass of 800 kg, including its contents. The helicopter and crate are accelerating upwards at 2.0 ms^-2. What is the tension in the rope? Use gravititational field strength g is 9,81 N/kg. Air resistance can be ignored. Give answer to nearest whole number in Newtons

5 / 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).

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

6 / 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

7 / 10

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. 308,.64°F

b. 254.53°F

c. 177.06°F

8 / 10

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

9 / 10

For a horizontally positioned, non-insulated steam pipe with a length of l=3 m and a diameter of d_a=0.1 the convective heat loss Q_point is to be calculated. The temperature of the surrounding air is θ_f=30∘C and that of the outer wall surface is θ_w=170∘C.

Input the result in kW and round to two decimal numbers seperated by a point without thr unit (example: 145.35)

10 / 10

A cantilever is subjected to forces

. Determine the bar force

F_{S 8}

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

a. -6F

b. 7.27F

c. 2.85F

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