Max and min forces on an elevator.

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SUMMARY

The discussion centers on calculating the maximum and minimum forces exerted by an elevator motor on the cable for a 4850 kg elevator with a maximum acceleration of 0.0600 g (0.558 m/s²). The correct approach involves using the net force equation, Fnet = Ft - Fg, where Ft is the force exerted by the motor and Fg is the gravitational force (Fg = mg). The minimum force required is calculated as Ft = 4850 kg × 9.8 m/s², while the maximum force is determined by adding the gravitational force to the force needed for upward acceleration, resulting in Ft = (4850 kg × 0.06 × 9.8 m/s²) + (9.8 m/s² × 4850 kg).

PREREQUISITES
  • Understanding of Newton's second law of motion (F=ma)
  • Knowledge of gravitational force calculation (Fg = mg)
  • Familiarity with basic physics concepts related to forces and acceleration
  • Ability to perform unit conversions (e.g., g's to m/s²)
NEXT STEPS
  • Study the derivation and application of Newton's second law in various contexts
  • Learn about the dynamics of elevator systems and safety mechanisms
  • Explore advanced physics topics such as forces in non-uniform motion
  • Investigate the design considerations for elevator motors and cables
USEFUL FOR

Physics students, engineering students, elevator design engineers, and anyone interested in the mechanics of elevator systems.

yeyspaz
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" A elevator with a mass of 4850 kg is to be designed so that the maximum acceleration is 0.0600 g's. What are the max and min forces the motor should exert on the cable?"
I converted the .0600 gs to .558 m/s/s, but when iplugged it into the F=ma formula i got the wrong answer? am i supposed to use another formula? :bugeye:
 
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Yes.

I think you use Fnet = Ft - Fg

Where Ft is the forces the motor exerts on cable.

^
|
| Ft
^ |
| ______
Fnet | |
_______
|
| Fg
V


For the min Fnet = 0 so Fg = Ft so Ft = 4850 x 9.8

and the max Fnet = Ft - Fg
would be (4850)(0.06)(9.8) + (9.8)(4850) = Ft

I could be wrong because I'm crap at Physics but, eh, at least I moved your question to the top again.
 
You used the right equation but with the wrong variables. Think, on the way down gravity makes the elevater to accelerate at 9.8m/s/s so to cancel that out the moter needs to pull enough to accelerate the elevator upwards with the acceleration of 9.8 + .588 m/s/s. (this is what kirby said but I didn't see him until I posted)
 
Last edited:

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