Amtrak\'s high speed train, the Acela , utilizes tilt of the cars when negotiati
ID: 2142084 • Letter: A
Question
Amtrak's high speed train, the Acela, utilizes tilt of the cars when negotiating curves. The angle of tilt is adjusted so that the main force exerted on the passengers, to provide the centripetal acceleration, is the normal force. The passengers experience less friction force against the seat, thus feeling more comfortable. Consider an Acela train that rounds a curve with a radius of 630m at a speed of 160 km/h (approximately 100 mi/h).
partA: Calculate the friction force needed on a train passenger of mass 55
partB: Calculate the friction force on the passenger if the train tilts to its maximum tilt of 10degrees
toward the center of the curve.
NEED HELP WITHT HE SECOND PART (PART B) PLEASE EXPLAIN AND SHOW EXACTLY HOW TO GET THE ANSWER AND PROVIDE THE ANSWER TO GET THE 300 POINTS. THANK YOU
Amtrak's high speed train, the Acela, utilizes tilt of the cars when negotiating curves. The angle of tilt is adjusted so that the main force exerted on the passengers, to provide the centripetal acceleration, is the normal force. The passengers experience less friction force against the seat, thus feeling more comfortable. Consider an Acela train that rounds a curve with a radius of 630m at a speed of 160 km/h (approximately 100 mi/h). Calculate the friction force needed on a train passenger of mass 55kg if the track is not banked and the train does not tilt. Express your answer using two significant figures. Calculate the friction force on the passenger if the train tilts to its maximum tilt of 10 degree toward the center of the curve.Explanation / Answer
1(a)
F = ma
.. = mv^2/r
.. = 55*(160000/3600)^2/630
.. = 172.413
Friction force needs to be 172N (correct to 3 figures)
(b) If the normal reaction of the seat is R and the friction force in the direction of the tilted seat is F, then the resultant downward vertical force is
55g - R cos 10
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