When an elevator moves upwards with an acceleration

In summary, the equation for tension when an elevator moves upwards with an acceleration is T+W = ma, and when it moves downwards, the equation is T+W = -ma. However, the equations T-mg=ma and T-mg=-ma are incorrect. The correct equations are N = mg + ma for upward acceleration and N = mg - ma for downward acceleration. In this context, tension is equivalent to the normal force and is used to calculate the net force (Fnet=ma) in a free body diagram.
  • #1
Crusaderking1
159
0

Homework Statement



When an elevator moves upwards with an acceleration, what is the equation for tension?

Is it T+W =ma?

When an elevator moves downwards with an acceleration, would the equation be

T+W=-ma?

Thats all. Thanks.

I really can't figure it out. All I know is that the equations T-mg=ma (for upwards) and T-mg=-ma (downwards) are wrong.



Homework Equations





The Attempt at a Solution

 
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  • #2


Draw a Free Body Diagram for each case. Use Fnet=ma .
 
  • #3


N = mg + ma if the elevator has an upward acceleration
N = mg - ma if the elevator has a downward acceleration

Would tension be the same as normal force in this situation?
 
  • #4


For this problem, what is the normal force being used for?

Draw a Free Body Diagram for each case. Use Fnet=ma .
 
  • #5


SammyS said:
For this problem, what is the normal force being used for?

Draw a Free Body Diagram for each case. Use Fnet=ma .

I got the problem right. Thanks for your help!
 

1. How does an elevator move upwards with acceleration?

When an elevator moves upwards with acceleration, it means that the elevator is increasing its velocity as it travels upwards. This is usually achieved through the use of a motor that pulls the elevator up using a series of cables and pulleys.

2. What causes an elevator to accelerate upwards?

An elevator accelerates upwards due to the force of the motor pulling the elevator up. The motor works against the force of gravity, which is constantly pulling the elevator down. As the motor increases its force, the elevator's velocity increases, resulting in acceleration.

3. How does acceleration affect the ride experience in an elevator?

Acceleration in an elevator can cause a sense of weightlessness or slight discomfort for some individuals. However, modern elevators are designed to minimize these effects and provide a smooth and comfortable ride for passengers.

4. What happens if the elevator accelerates too quickly?

If an elevator accelerates too quickly, it can cause discomfort or even injury to passengers. That is why elevators are designed to have a maximum acceleration limit to ensure the safety and comfort of passengers.

5. Can an elevator accelerate downwards?

Yes, an elevator can also accelerate downwards. This occurs when the motor slows down or reverses its direction, causing the elevator to decrease its velocity and accelerate downwards. This can be experienced when an elevator is going down from a higher floor to a lower floor.

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