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a3_cee3604_2011

# a3_cee3604_2011 - CEE 3604 Introduction to Transportation...

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CEE 3604: Introduction to Transportation Engineering Fall 2011 Assignment 3: Vehicle Forces and Kinematics Date Due: September 16, 2011 Instructor: Trani Problem 1 a) A commuter train with a mass of 305,000 kg. travels downhill at a grade of -2% and 50 mph when the brakes fail. Estimate the maximum speed the train will achieve downhill if the following parameters apply: S = 14 m 2 , f roll = 0.0018, C d = 0.75 (dim) and C l = 0.03 (dim) b) During normal operations, the train described in part (a) has a tractive force as shown in Table 1. The tractive force was obtained from actual testing of the vehicle. Table 1. Tractive Force for Train in Problem 1. Speed (m/s) Tractive Force (N) 0 180000 20 155000 40 95000 60 65000 80 50000 100 35000 c) Plot the speed vs tractive force data shown in Table 1 using Matlab. d) Using Matlab’s basic fitting capabilities, obtain a third degree polynomial (cubic equation) that relates the tractive force as a function of speed. Write down the equation of the cubic model. The equation is of the form: T ( N ) = a + bV + cV 2 + dV 3 where V is in m/s and coefficients a to d

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a3_cee3604_2011 - CEE 3604 Introduction to Transportation...

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