Prob. 1: (50 pts) The stick diagram of a 6-speed RWD MT is shown below. The...
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Prob. 1: (50 pts) The stick diagram of a 6-speed RWD MT is shown below. The tire radius of the vehicle is 11 inches and the final drive ratio ia is 3.25. The numbers of teeth are labeled in the drawing. Some gear ratios are given as: first gear (3.92), 2nd (2.76), 3rd gear (1.91), 4th gear (1.41). The number of teeth of for some gears are: N = 19, Nc =23, N6c=34, Nrc = 15, Nri=24, Nro = 43. gear a) When a 5-6 up-shift is made at a vehicle speed of 50mph, the engine speed drops 600 RPM. Determine the number of teeth N60. Also determine the speed difference in RPM that needs to be synchronized in the shift. b) Determine the equivalent mass moment of inertia to be synchronized in a 5-6 upshift and a 5-4 downshift respectively, in terms of the mass moments of inertia of the involved parts. c) Assuming the synchronization time is At and the angular velocity change is uniform during synchronization, determine the work done by the friction and the angle of rotation of gear N in the process of synchronization for the shift in a). d) The synchronizers used in the transmission are the same and the angular velocity change during synchronization is assumed to be uniform. If the magnitude of the shift force in a 2-3 upshift, F23, is 10 N, determine the magnitude of the shift force in a 3-4 upshift, F34. Both shifts are made at the same engine angular velocity we and within the same synchronization time At . Note: In your answers b) and c), only the equivalent mass moments of inertia are to be represented in labels. 5-6 Synch. 1-2 Synch. Rev. Synch. N30 N60 N40 N20 Nro Input Shaft Output Shaft HF HH HE HE HH D HH Nri www + N1c Nrc N3c Nc N6c N4c N2c Counter Shaft 3-4 Synch. (Note: This transmission is also used for the vehicle in Problem 2) Prob. 2 (50 pts) A RWD vehicle has the following data: Front axle weight: 1750 lbs Center of gravity height: 17 inch Tire radius: 11.0 in. Air drag coefficient: 0.32 Powertrain efficiency: 0.94 Max. Power @6000RPM: 138 HP Rear axle weight: 1650 lbs Wheel base: 104 in. Frontal projected area: 22.50 square feet Roll resistance coefficient: 0.02 Final drive ratio: ? Max. Torque @4500RPM: 132 ft.lb. The six-speed manual transmission used for the vehicle is the same as in problem 1, but the final drive ratio is different. The engine WOT output plot is given below: Torque(ft.lb) 140 130 Torque 120 110 100 90 Power 75 1000 2000 3000 4000 5000 6000 7000 Speed (RPM) 25 50 150 125 100 Power(HP) a) Determine the final drive ratio if the maximum vehicle speed allowed by the maximum engine power is designed to be achieved in the 6th gear. b) Determine the engine torque and work done by the engine in "horsepower hours" when the vehicle cruises for 0.5 mile at a constant speed of 65 mph on a 2% slope in the 6th and 5th gear respectively. c) The driver floors the gas pedal and simultaneously makes a 6-5 downshift when the vehicle runs in the 6th gear on a 2% slope at a speed of 65 mph. Determine the vehicle acceleration immediately after the 6-5 downshift. d) What is the steepest slope in percentage the vehicle can negotiate at a speed of 70 mph? Prob. 1: (50 pts) The stick diagram of a 6-speed RWD MT is shown below. The tire radius of the vehicle is 11 inches and the final drive ratio ia is 3.25. The numbers of teeth are labeled in the drawing. Some gear ratios are given as: first gear (3.92), 2nd (2.76), 3rd gear (1.91), 4th gear (1.41). The number of teeth of for some gears are: N = 19, Nc =23, N6c=34, Nrc = 15, Nri=24, Nro = 43. gear a) When a 5-6 up-shift is made at a vehicle speed of 50mph, the engine speed drops 600 RPM. Determine the number of teeth N60. Also determine the speed difference in RPM that needs to be synchronized in the shift. b) Determine the equivalent mass moment of inertia to be synchronized in a 5-6 upshift and a 5-4 downshift respectively, in terms of the mass moments of inertia of the involved parts. c) Assuming the synchronization time is At and the angular velocity change is uniform during synchronization, determine the work done by the friction and the angle of rotation of gear N in the process of synchronization for the shift in a). d) The synchronizers used in the transmission are the same and the angular velocity change during synchronization is assumed to be uniform. If the magnitude of the shift force in a 2-3 upshift, F23, is 10 N, determine the magnitude of the shift force in a 3-4 upshift, F34. Both shifts are made at the same engine angular velocity we and within the same synchronization time At . Note: In your answers b) and c), only the equivalent mass moments of inertia are to be represented in labels. 5-6 Synch. 1-2 Synch. Rev. Synch. N30 N60 N40 N20 Nro Input Shaft Output Shaft HF HH HE HE HH D HH Nri www + N1c Nrc N3c Nc N6c N4c N2c Counter Shaft 3-4 Synch. (Note: This transmission is also used for the vehicle in Problem 2) Prob. 2 (50 pts) A RWD vehicle has the following data: Front axle weight: 1750 lbs Center of gravity height: 17 inch Tire radius: 11.0 in. Air drag coefficient: 0.32 Powertrain efficiency: 0.94 Max. Power @6000RPM: 138 HP Rear axle weight: 1650 lbs Wheel base: 104 in. Frontal projected area: 22.50 square feet Roll resistance coefficient: 0.02 Final drive ratio: ? Max. Torque @4500RPM: 132 ft.lb. The six-speed manual transmission used for the vehicle is the same as in problem 1, but the final drive ratio is different. The engine WOT output plot is given below: Torque(ft.lb) 140 130 Torque 120 110 100 90 Power 75 1000 2000 3000 4000 5000 6000 7000 Speed (RPM) 25 50 150 125 100 Power(HP) a) Determine the final drive ratio if the maximum vehicle speed allowed by the maximum engine power is designed to be achieved in the 6th gear. b) Determine the engine torque and work done by the engine in "horsepower hours" when the vehicle cruises for 0.5 mile at a constant speed of 65 mph on a 2% slope in the 6th and 5th gear respectively. c) The driver floors the gas pedal and simultaneously makes a 6-5 downshift when the vehicle runs in the 6th gear on a 2% slope at a speed of 65 mph. Determine the vehicle acceleration immediately after the 6-5 downshift. d) What is the steepest slope in percentage the vehicle can negotiate at a speed of 70 mph?
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Income Tax Fundamentals 2013
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