Question

Tilting trains, such as the American Fiyer which will run from Washington to New York and Boston, are designed to travel safely at high speeds on curved sections of track which were built for slower, conventional trains. As it enters a curve, each car is tilted by hydraulic actuators mounted on its trucks. The tilting feature of the cars also increases passenger comfort by eliminating or greatly reducing the side force Fs (parallel to the floor of the car) to which passengers feel subjected. Tests carried out with the tilting trains revealed that passengers feel queasy when they see through the car windows that the train is rounding a curve at high speed, yet do not feel any side force. Designers, therefore, prefer to reduce, but not eliminate, that force. For a train traveling at 100 mih on a curved section of track banked through an angle θ-60 and with a ated speed of 65 m/h, determine the required angle of tilt ¢if passengers are to feel side forces equal to 10% of their weights (Round the final answer to two decimal places.) The required angle of tilt is 5.97 .

Answer 1

The rated speed is, gtan θ 0.44704 m/s 64 mi/h mi 9.81 m/stan 6o - 27.7 m Assume the x axis to be parallel to the floor of the car. That is, y2 y2 Wi2 V2 But tan(θ+φ - v2 -1 - tan 0.44704 m/s 100 mi/h : tan (9.81 m/s')(27.7m) -76.2°