Kinematics question - elevator problem

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SUMMARY

The discussion focuses on programming an elevator's vertical motion to travel 5.0 meters between floors while adhering to specific constraints: a maximum speed of 1.0 m/s, an acceleration limit of 0.50 m/s², and a jerk limit of 0.50 m/s³. To achieve the fastest trip, a sequence of motions must be calculated that optimally utilizes these constraints. The time taken for the elevator to complete the trip is also a critical factor that needs to be determined based on the chosen motion sequence.

PREREQUISITES
  • Understanding of kinematics principles, particularly motion equations
  • Familiarity with acceleration, velocity, and jerk concepts
  • Basic programming skills for simulating elevator motion
  • Knowledge of graph interpretation for acceleration and velocity
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  • Research kinematic equations for uniformly accelerated motion
  • Learn how to calculate time of travel using initial and final velocities
  • Explore simulation tools for modeling elevator motion under constraints
  • Study the impact of jerk on passenger comfort in vertical transportation systems
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Engineers, physics students, and software developers involved in designing and programming elevator systems, as well as anyone interested in optimizing vertical motion under specific constraints.

drg1233
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Kinematics question...?
you are asked to program a sequence of vertical motions for an elevator to take it from one floor in a building to the floor directly above, a total distance of 5.0m. In order to ensure that the ride is safe and comfortable for passengers, the elevator's motion is subject to the following constraints:

1. The speed can't be >1.0 m/s
2. The magnitude of the acceleration can't be > 0.50 m/s^2
3. The magnitude of the acceleration's rate of change ("jerk") can't be >.50m/s^3

a. What sequence of motions will get the elevator from one floor to the one directly above as fast as possible?
b. how much time does the elevator's trip take from one floor to the floor directly above?

I have some graphs of acceleration and velocity graphs, but i honestly don't really know where to start.
 
Last edited:
Physics news on Phys.org
Units of "jerk" or "surge" are m/s3.
 

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