Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

1 / 10

A spring in a church clock has a spring constant of 10 N/m. What is its elastic potential energy store if it is stretched 8 m? Give answer in Joules to three significant figures.

2 / 10

A cat of mass 12 kgs ran at 65mph. What is its kinetic energy? Answer in J to the nearest whole number

3 / 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.

4 / 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

5 / 10

Before the endurance you pump nitorgen in your tires at a temperature of 20°C and 0.7 bar relative pressure. Knowing, that during the endurance the maximal tyre temperature will be around 60°C, what will be the maximal relative pressure of the tyre? Give answer in bar to two decimal places.

6 / 10

An air stream

dot{M}_L = 5.5 kg/s,

cp_L=1 kJ/(kgK)

is to be heated in a plate heat exchanger from

θ_L′=20∘C

θ_L′′=150∘C

. For this purpose, a flue gas stream

dot{M}_R = 7.22

cp_R=1.1 kJ/(kgK)

with a temperature of

θ_R′=300∘C

is available. The overall heat transfer coefficient is

W/(m^2*K)

.
What is the required heating surface AAA if the fluid streams are arranged in counterflow?

a. 314,12 m^2

b. 281,7 m^2

c. 328,1 m^2

7 / 10

Calculate the Normal force on the rear left tyre during the first skidpad lap. You can assume, that your vehicle is in a steady-state condition and that there is no longitudinal acceleration. Further it can be assumed, that all 4 wheels have a lateral grip coefficient of 1.4. You can use the centerline radius stated in the rules. Following information regarding the vehicle are given. Give answer to nearest whole number in Newtons.

m = 220 kg

Cl = 3.8

A = 1 m^2

Rho = 1.1 kg/m^3

Wheelbase: L = 1.53

Trackwidth:t = 1.2 m

Height of CG: h = 0.2 m

Weight distribution/COP: 50%

8 / 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)

9 / 10

Calculate delta_h1 and delta_h2 in mm (integers), seprate the value with a comma, no space in between, delta_h1 is the first value (exp.: 126,4)

10 / 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).

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