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

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)

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

Calculate the force Fc working at point C.

Rax = 4kN, Ray = 10 kN

Rbx =5 kN, Rby = 8 kN

6 / 10

Using an indicator, the cylinder pressure can be plotted as a curve over the piston stroke. The curve recorded for the compression stroke of an internal combustion engine can be approximated by the relationship p⋅V^n=const..
What is the amount of work done by the volume change if the following values are given?

given: V_1=10^-3 m^3; p_1=0.1 MPa; p_2=3 MPa; n=1.3

Round to one decimal number seperated by a point. Input in Joul without writing the unit in the field below (example: 152.9).

7 / 10

How high (in m) can a column of liquid be lifted by a reciprocating piston, neglecting leakage and losses, if the air pressure is 101300 Pa and the pressure p₁ approaches zero?

Example Input 14.3 (use a point, no unit)

8 / 10

A team is in the process of validating the compliance of the shoulder harness bar used in their car. Choose the part in which their configuration is incompliant:

a. From the driver’s shoulders rearwards to the mounting point or structural guide, the shoulder harness is 8° above the horizontal

b. The bar is bent (not straight) and the team uses an analysis method of inducing 7kN to each attachment in the horizontal plane to prove compliance

c. The steel tube has a thickness of 2 mm, and a 0.26% in carbon and 1.7% manganese content

d. The attachments are positioned 220 mm apart, measured center to center, and have a thickness of 1.7 mm

9 / 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.

10 / 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.

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