Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

1 / 10

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.

2 / 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).

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

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.

5 / 10

In a cylinder, air is compressed isothermally at ambient temperature (

θ_U=20∘C)

p_{1} = 0.1 MPa

p_{2} = 0.5 MPa

Calculate the change in the specific entropy of the air in the cylinder.

Round to two decimal numbers sperated by a point. Input in J/(kgK). (Example -365.26)

6 / 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

7 / 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.

8 / 10

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.

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

9 / 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

10 / 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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