What is the equation for calculating tension in an elevator rope?

In summary, the tension in the supporting cable of an elevator with a combined mass of 1500 kg and originally moving downward at 11 m/s, brought to rest with constant acceleration in a distance of 43 m, is found to be 35850 N. However, upon recalculation, the correct value is 14.1 m/s^2. The time it takes to decelerate is calculated to be 0.78 seconds based on the formula D=(V+Vo)/2 T. The original post also mentions that this thread is 4 years old and provides a reminder to redo the calculation.
  • #1
B-80
73
1
An elevator and its load have a combined mass of 1500 kg. Find the tension in the supporting cable when the elevator, originally moving downward at 11 m/s, is brought to rest with constant acceleration in a distance of 43 m.

First I found the time it to to decelerate
D=(V+Vo)/2 T
gave me a value of .78seconds
plugged it into V=Vo+at
a=14.1m/s^2

F=ma
so the force is 1500Kg * (9.8+14.1) which is 35850
thats wrong, thanks in advance
 
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  • #2
B-80 said:
First I found the time it to to decelerate
D=(V+Vo)/2 T
gave me a value of .78seconds
Redo this calculation.
 
  • #3
thanks, stupid decimal.
 
  • #4
How did you figure out the time?
 
  • #5
SolidTwinz said:
How did you figure out the time?
Read the first post. (Distance = average speed X time)

This thread is 4 years old.
 

Related to What is the equation for calculating tension in an elevator rope?

What is tension on an elevator rope?

Tension on an elevator rope is the force exerted on the rope due to the weight of the elevator and its passengers.

Why is tension important in elevator design?

Tension is important in elevator design because it determines the maximum weight that the elevator can safely carry and the strength of the rope required for support.

How is tension on an elevator rope calculated?

Tension on an elevator rope can be calculated using the formula T = mg + ma, where T is tension, m is the mass of the elevator and its passengers, g is the acceleration due to gravity, and a is the acceleration of the elevator.

What factors can affect tension on an elevator rope?

The main factors that can affect tension on an elevator rope include the weight of the elevator and its passengers, the acceleration of the elevator, and any external forces such as wind or friction.

What happens if the tension on an elevator rope is too high?

If the tension on an elevator rope is too high, it can cause the rope to snap or the elevator to malfunction. This can lead to potential safety hazards for the passengers and damage to the elevator.

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