The gear ratios of a 5-speed manual transmission are given as 1" (3.25), 2nd (1.96), 3rd (1.24), 4th (0.75), 5th
(0.58), final drive (3.94). The engine fuel map is shown below, where the horizontal axis is the engine RPM
and the vertical axis is the engine torque (ft.lb). The transmission is used for a FWD car with the following
data:
Front axle weight: 1450 lbs
Center of gravity height: 14 inch
Air drag coefficient: 0.30
Tire radius: 10.0 in.
Powertrain efficiency: 0.93
Rear axle weight: 1250 lbs
Wheel base: 102 in.
Frontal projected area: 21.00 square feet
Roll resistance coefficient: 0.02
Road adhesion coefficient: 1.0
a) How much the engine speed will drop (in terms of RPM) when a 3-4 upshift is made at a vehicle speed
of 40 mph.
b)
Determine the gas mileage when the car is cruising at a contact speed of 65 mph on level ground in 5th
gear and in 4th gear respectively.
c)
As shown in the fuel map, the point (2300, 58) is approximately the most fuel efficient point.
Determine the gear ratio if the engine is to operate at the status defined by this point and the
corresponding vehicle speed.
Fig: 1