Problem 1 On a 20°C sunny day with no wind speed, and an air density of 1.2 kg/m², a 1500 kg vehicle travels
along an asphalt roadway with a 6° grade at 100 km/h and a rolling resistance coefficient of 0.013.
The vehicle center of gravity is located 0.6 m from the ground in the center of the 2.5 m wheelbase
with 0.66 m wheels and has a frontal area of 2.05 m² and a drag coefficient of 0.32.
Calculate the aerodynamic, grading, and rolling resistance.
Problem 2
After some engine and transmission performance upgrades, the same vehicle is taken to a test track
to find out the new vehicle top speed. The upgrades have increased engine torque to 450 Nm and
engine horsepower to 300 kW and an overall powertrain efficiency of 88%. After the upgrades, the
minimum gear ratio of the transmission is 0.9, and the differential gear ratio is 3.21.
Calculate the maximum speed of the vehicle
Problem 3
The same vehicle travels along a level asphalt roadway at 100 km/h, with a coefficient of road adhe-
sion of 0.72, and encounters a large obstacle 50 m ahead and needs to stop to avoid striking the
obstacle.
Calculate the braking force at the front and rear wheels that is required to stop just before the
obstacle.