Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

1 / 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).

2 / 10

A ball at a height of 20ft on Earth with a gravitational field strength of 9.81 N/kg, gained 284 J of gravitational potential energy. Calculate the mass of the ball. Give answer to two decimal place in kg.

3 / 10

in cm^3, round to decimal numbers sperated by point (13.5) no unit int the answer

4 / 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)

5 / 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.

6 / 10

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

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

7 / 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

8 / 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 = 230mph, μF = 0.17, g = 9.81 m/s2.
Give your answer in meters, rounded to four significant places.

9 / 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

10 / 10

You would like to drink a cup of very hot coffee with milk early in the morning, but you
are in a hurry and have only 5 minutes until you have to leave for work. At which time
after brewing should you add the cold milk to the coffee and stir in order to decrease the
temperature of the mixture as much as possible:
a) 0 minutes (immediately),
b) 2 minutes, or
c) 4 minutes?
Suppose that the stirring can be done instantaneously and that you need the last one
minute for drinking.

brew temperature C = 80 ◦C, temperature of milk = M = 10 ◦C, room temperature
0 = 20 ◦C, volume of coffee VC = 300 ml, volume of milk VM = 100 ml, specific heat
capacity of coffee cC = 4180 J/(kgK), specific heat capacity of milk cM = 3500 J/(kgK).

Please enter only the letter of the corresponding answer

a. 0 mins

b. 2 mins

c. 4 mins

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