Quiz Preparation – UMD Racing e.V.

Quiz „General Engineering“

1 / 10

Calculate the gravitational potential energy of a 4 kg object at 15 m above Earth’s surface with gravitational field strength of 9.81 N/kg. Give answer to three significant figures in J.

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 Wet Skid Pad World Record was set at FSN2019 by TU Delft. They managed to set a time of 4.901 for the left circle and a time of 5.031 for the right circle. Assume the run was completed perfectly along the center line of the circles. What was their average speed during this record run? Give answer to two decimal places in mph.

4 / 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).

5 / 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

6 / 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%

7 / 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).

8 / 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

9 / 10

A cantilever is subjected to forces

. Determine the bar force

F_{S 8}

Given F1=F4=F, F2=F3=2F, a

a. 2.85F

b. 7.27F

c. -6F

10 / 10

Calculate the cornering speed during Skidpad (you can use the centerline radius in the rules) using following information:

μ_y = 1.4, m = 240 kg, c_L = 3.2, A = 1 m^2, ρ = 1.1 kg/m^3

It is assumed, that there is no weight transfer and all 4 tires are at the optimal grip level. Answer in m/s rounded to one decimal place.

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