Calculating Tension, Work, and Power in Elevator Systems

In summary, the conversation discusses the work done, power provided, and relevant equations for a cable lifting a 1200-kg elevator at a constant velocity for a distance of 35 m in 5.3 seconds. The equations used to solve for the work done by the tension in the cable and the elevator's weight are W=FxD and W=mg, respectively. The power provided by the tension in lifting the elevator can be calculated using the equation P=W/T. It is important to note that gravity does negative work on the elevator in this scenario.
  • #1
y7lee
2
0
1. a cable lifts a 1200-kg elevator at a constant velocity for a distance of 35 m in 5.3 seconds.

A.) What is the work done by the tension in the cable?
B.) What is the work done by the elevator's weight?
C.) What is the power provided by the tension in lifting the elevator?
 
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  • #2
There are very simple equations one can use to solve these.
 
  • #3
draw a free body diagram.. and write down the relevant equations u need
 
  • #4
for A.) i did W=FxD so W=12000x35=420000
for B.) i wasn't sure how to do because isn't it the same thing as A?
and C.) P=W/T
P=420,000/5.3= 79245.3
not sure if they're right though..
 
  • #5
A) that looks fine
B) no, the rope pulls up, what does the pull of gravity do to the elevator?
C) looks fine
 
  • #6
when the rope pulls upwards and gravity pulls down, then gravity does negative work. Remember, gravity does negative work most of the time, since the rope is pulling up and gravity is pulling down, the direction of acceleration of gravity and acceleration of the elevator are not the same, therefore, negative work is being done by gravity. If the elevator was moving down then gravity would be doing positive work on the elevator.
 
  • #7
a) correct
b)T=mg that means that w=mg and they are equal.
C)correct
 
  • #8
This is a 2 and a half year old topic.:wink:
 

1. What is tension?

Tension, also known as stress, is a force that is applied to an object, causing it to stretch or deform. It is a measure of how much force is being exerted on an object or material.

2. How does tension affect work?

Tension can affect work in several ways. It can increase the amount of force needed to move an object, which can make work harder. It can also cause an object to stretch or deform, potentially changing its shape and making it more difficult to work with.

3. What are some examples of tension in relation to work?

Examples of tension in relation to work include stretching a rubber band, tightening a screw, or pulling a rope. In each of these scenarios, a force is applied to an object, causing it to stretch or deform.

4. How can tension be managed in the workplace?

To manage tension in the workplace, it is important to identify and address potential sources of stress. This may include implementing stress-reducing activities, promoting a positive work culture, and providing resources for employees to manage their stress levels.

5. What are the potential risks of working under high tension?

Working under high tension can lead to physical and mental health issues such as muscle strain, headaches, and anxiety. It can also decrease productivity and decrease job satisfaction. In extreme cases, it may even lead to workplace accidents or injuries.

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