Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

1 / 10

Unit: kg/(m^3), to decimal number seperated by: . (exp. 15.3), write only the number in the field below

2 / 10

A refrigeration unit cools water of mass 3 kg by 33 °C. Find the thermal energy removed from the water. The specific heat capacity of water is 4186 J/kg celsius. Give answer to three significant figures in kJ.

3 / 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. 177.06°F

b. 308,.64°F

c. 254.53°F

4 / 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.

5 / 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

6 / 10

Your team is the first car at the design event during FSN2022 and it’s quite cold for this time of the year, 12 degrees C. To impress the judges, you decide to make some tea for them. What is the minimum required time to prepare the tea, knowing that you have to boil 4 tea cups of 370ml each and you have an electrical heater with a power of 500W. Give your answer to the nearest whole number in secs.

7 / 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

8 / 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).

9 / 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

10 / 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.

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