What is the tension on the line when the elevator is accelerating

In summary: Of course it's the second law.In summary, the question asks for the tension on a line supporting an elevator that weighs 10000N while accelerating upwards at a rate of 3 m/s^2. It is important to draw a free body diagram and use Newton's second law to solve the problem.
  • #1
superdave
150
3
An elevator weighs 10000N. What is the tension on the line when the elevator is accelerating upwards at 3 m/s?

I don't know how to go about this one. Any help?
 
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  • #2
Well, acceleration is in [itex] \frac {m}{s^2} [/tex]. Is that a typo? Also, what is Newtons first law?
 
  • #3
And after you recall Newton's first law, be sure to draw a force diagram before solving the problem. This will help ensure that you get the signs correct (arrows pointing in opposite directions will have opposite signs).
 
  • #4
sporkstorms said:
And after you recall Newton's first law, be sure to draw a force diagram before solving the problem. This will help ensure that you get the signs correct (arrows pointing in opposite directions will have opposite signs).

I agree with drawing a free body diagram (this should always be the first step in that type of question) but I think that everybody meant Newton's *second* law...

Patrick
 
  • #5
superdave said:
An elevator weighs 10000N. What is the tension on the line when the elevator is accelerating upwards at 3 m/s?

I don't know how to go about this one. Any help?

I'm sorry to be pedantic but the units of acceleration are not [itex]m/s[/itex], they are [itex]m/s^2[/itex].

There are two questions that you should ask yourself when doing this question;

(1) What is the tension in the wire when the elevator is stationary? I.e. what force is required to balance the weight of the elevator?

(2) What additional force is required to accelerate the elevator at [itex]3 m/s^2[/itex]? Hint: For this one you will need to use Newton's second law as nrqed said.

Hope this helps
-Hoot:smile:
 
  • #6
nrqed said:
but I think that everybody meant Newton's *second* law...

Whoops. I was like a sheep, following right over the edge of a cliff.
 

FAQ: What is the tension on the line when the elevator is accelerating

What is tension?

Tension is a force that is transmitted through a string, rope, cable, or any other type of flexible material. It is the force that pulls on both ends of the material and is responsible for keeping it taut.

How is tension related to acceleration?

When an elevator accelerates, it experiences a change in velocity, which means there is a net force acting on it. This net force is caused by the tension in the elevator cable, which increases as the elevator accelerates.

How do you calculate the tension on the line when the elevator is accelerating?

The tension on the line when the elevator is accelerating can be calculated using Newton's second law of motion: F = ma, where F is the net force, m is the mass of the elevator, and a is the acceleration. The tension can be found by solving for F.

Does the tension on the line change if the elevator is decelerating?

Yes, the tension on the line changes when the elevator is decelerating. This is because the elevator experiences a different acceleration and therefore a different net force, which results in a different tension on the line.

What factors can affect the tension on the line when the elevator is accelerating?

The tension on the line when the elevator is accelerating can be affected by several factors, including the mass of the elevator, the acceleration of the elevator, and the angle of the cable. Additionally, external forces such as wind or friction can also affect the tension on the line.

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