Calculating Tension for 2000kg Elevator at Rest

  • Thread starter jasonbans
  • Start date
  • Tags
    Elevator
In summary, the problem involves finding the tension (T) in an elevator at rest, with a mass of 2000 kg. By drawing a free-body diagram and using the equation for sum of forces, the tension can be calculated using the known mass and gravity (9.8m/s^2). Tension is a force that keeps an object from accelerating, similar to the role of the normal force.
  • #1
jasonbans
45
0

Homework Statement


An elevator, complete with contents, has a mass of 2000 kg. By drawing free-body diagrams and by performing the neccesary calculations, determine the value of T ( tension) when
a) the elevator is at rest


Homework Equations





The Attempt at a Solution


i don't get how FN and T can be on the same Y axis together? any idea?
 
Physics news on Phys.org
  • #2
What is FN ?
 
  • #3
normal force
 
  • #4
what do you think tension is?
 
  • #5
tension is the normal force?
 
  • #6
What normal force?
 
  • #7
SammyS said:
What normal force?

the force that balance out weight ? o,o
 
  • #8
Start by drawing the FBD. In this case, its just the y (vertical) component: m*g(weight) DOWN , tension(whats being pulled) UP. The sum of all forces(vectors so set positive and negative values for direction) equals mass*acceleration. But remember that constant velocity or at rest indicates 0 acceleration. The sum of the two forces are equal to zero. You are given the mass, and gravity(g) is 9.8m/s^2, but T is unknown. This is as much as i can do.
EDIT: is it at rest hanging, or on the ground... if the latter then ^ is wrong
 
  • #9
Tension is related to normal force, but it has everything to do with a force in an object such as a rope or something springy at the molecular level. It's the force that keeps the object that it holds from accelerating a bit like normal force. I believe that the normal force keeps gravity from accelerating an object during contact of earth, because of inertia (resistance to gravity). So, how do you think you can turn these words into solving this problem?
 
  • #10
"It's the force that keeps the object that it holds from accelerating a bit like normal force"

I'm not sure if my words were exactly correct here, because I think I have done a few problems where an acceleration still existed o_O? but I hope you get the point.
 
  • #11
that quote applies to this prblem though!
 

FAQ: Calculating Tension for 2000kg Elevator at Rest

How do you calculate tension for a 2000kg elevator at rest?

To calculate tension in this scenario, you need to use the formula T = mg, where T is the tension, m is the mass of the elevator (2000kg in this case), and g is the gravitational acceleration (9.8 m/s2). This will give you a tension of 19,600 Newtons.

Why is it important to calculate tension for an elevator?

Calculating tension for an elevator is important because it helps ensure the safety and stability of the elevator. If the tension is too high, it may cause the elevator cables to snap, while if it is too low, the elevator may experience a sudden drop or malfunction. By calculating the correct tension, the elevator can operate smoothly and safely.

What factors can affect the tension of an elevator?

The tension of an elevator can be affected by several factors, such as the weight of the elevator, the number of passengers inside, the friction between the elevator cables and the pulley system, and any external forces, such as wind or earthquakes.

How does the tension change when the elevator is in motion?

When the elevator is in motion, the tension will increase or decrease depending on the direction of the motion. For example, when the elevator is moving upwards, the tension will increase due to the additional force needed to lift the elevator's weight. When the elevator is moving downwards, the tension will decrease as the elevator's weight is being counteracted by the force of gravity.

What is the maximum tension that an elevator can handle?

The maximum tension that an elevator can handle will depend on its design and the materials used for its cables. However, most elevators are designed to handle at least six times their rated capacity, meaning a 2000kg elevator should be able to withstand a tension of at least 117,600 Newtons. Elevator manufacturers also conduct safety tests to ensure that their elevators can withstand higher tensions in case of emergencies.

Similar threads

Replies
10
Views
3K
Replies
5
Views
3K
Replies
7
Views
2K
Replies
5
Views
1K
Replies
36
Views
4K
Replies
25
Views
3K
Replies
2
Views
3K
Back
Top