A race car is turning (cornering) on a flat road, as shown in Figure Q1-1. The speed of the car is 300 kph and the turning radius is 260 m. Having the car parameters as below, answer questions a) and b). m = 890 (kg) (57% of the weight is on the rear axle); Air density = 1.225 (kg/m³); Equivalent aerodynamic lift coefficient for front axle= -0.915 (-); Aerodynamic frontal area= 1.11 (m²); Slip angle of the front tyres= +2.4 (°); Slip angle of rear tyres= +1.2 (°); The steering angle of wheels= -1.9 (°); The efficiency of the drivetrain from the engine to the contact patch of tyres is 100%.
A race car is turning (cornering) on a flat road, as shown in Figure Q1-1. The speed of the car is 300 kph and the turning radius is 260 m. Having the car parameters as below, answer questions a) and b). m = 890 (kg) (57% of the weight is on the rear axle); Air density = 1.225 (kg/m³); Equivalent aerodynamic lift coefficient for front axle= -0.915 (-); Aerodynamic frontal area= 1.11 (m²); Slip angle of the front tyres= +2.4 (°); Slip angle of rear tyres= +1.2 (°); The steering angle of wheels= -1.9 (°); The efficiency of the drivetrain from the engine to the contact patch of tyres is 100%.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Question 1:
A race car is turning (cornering) on a flat road, as shown in Figure Q1-1. The
speed of the car is 300 kph and the turning radius is 260 m. Having the car
parameters as below, answer questions a) and b).
●
.
●
●
m = 890 (kg) (57% of the weight is on the rear axle);
Air density = 1.225 (kg/m3);
Equivalent aerodynamic lift coefficient for front axle= -0.915 (-);
Aerodynamic frontal area= 1.11 (m²);
Slip angle of the front tyres= +2.4 (°);
Slip angle of rear tyres= +1.2 (°);
The steering angle of wheels= -1.9 (°);
The efficiency of the drivetrain from the engine to the contact patch of
tyres is 100%.
8=-1.9°-
---R=260 m
α = +2.4°
αR = +1.2°
Figure Q1-1 Motion of the vehicle and the angles
a) Calculate the engine power delivered to tyres to overcome the total
induced drag due to lateral force.

Transcribed Image Text:b) The rolling resistance force at the contact patch of tyres is calculated as
FRR = (fo+f₂V²)Ę₂ where F₂ is the normal load on the tyre, f₂ = 2 x 10-6
and fo varies in terms of slip angle of tyres as in Figure Q1-2. If the car is
a rear-wheel drive, calculate:
Power losses at front wheels due to rolling resistance for slip angles
of 2.4º.
fo(-)
-3.6
-2.4
-1.2
0.03
0.025
0.02
0.015
0.01
0.005
0
0.0
a, (°)
1.2
2.4
3.6
Figure Q1-2 Variation of the rolling resistance coefficient fo of front wheels in
terms slip angle
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