A taut rope pulled - delay on the other end?

In summary, during a conversation with their father, the scenario of 2 ropes fixed on 3 points was presented. The distance of AB was 10 meters and BC was 100 meters. The question was raised about the reaction of point B if both A and C increased force simultaneously. It was determined that the tension felt at point B would be at different times, based on the lengths of the rope segments and the speed of sound in the rope. This property may also apply along an infinitely longer length, but the speed of sound in the rope would still be a determining factor.
  • #1
SpoChi
2
0
My father and I were just having a conversation. The scenario he presented to me was this;


There are 2 ropes fixed on 3 points, like so:

A--------------B------------------------------------------------------------------------C

The distance of AB is approximately 10 meters, while BC is approximately 100 meters long. Given that both ropes are being pulled with the same amount of force and already taut, how would point B react if both A and C increased force at the same time in the same increment? More specifically, would point B feel the pull of both A and C at the same time, or would there be a slight delay? Would either pull take time to be recognized, or would it be immediate?

The next question is, if the pull from both A and C is felt by B at the same time, would this property apply along an infinitely longer length? For example, a light year.
If not, is there an equation (perfect world, of course) that would explain any delay between the pull of A and/or C and the reaction of B, in relation to the length of both ropes?
 
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  • #2
Tension in the rope would propagate at about the speed of sound in the rope.
 
  • #3
To add to what rcgldr said (which is correct), that speed of sound is determined by the electromagnetic forces holding the atoms together, so the speed of light is a theoretical upper-limit on the speed of sound.

The tensions felt at point B would simply be felt at different times. You can calculate the times based on the lengths of the rope segments and the speed of sound in the rope.
 

1. What is the concept of "A taut rope pulled - delay on the other end?"

The concept of "A taut rope pulled - delay on the other end" refers to a scenario where a rope is pulled tightly on one end, causing a delay in movement on the other end due to the tension and resistance of the rope. This can be observed in various situations, such as when a person pulls a rope tied to an object or when a rope is used to transmit signals.

2. How does tension affect the delay on the other end of the rope?

Tension is the force that is created when a rope is pulled tightly. This force causes the molecules in the rope to stretch and resist the force, resulting in a delay in movement on the other end. The higher the tension, the greater the delay will be.

3. What factors can influence the delay on the other end of a taut rope?

The delay on the other end of a taut rope can be influenced by several factors, such as the length and thickness of the rope, the amount of tension applied, and the material of the rope. Other external factors, such as friction and weight of the object being pulled, can also play a role.

4. Can the delay on the other end of a taut rope be eliminated?

No, the delay on the other end of a taut rope cannot be completely eliminated. However, it can be minimized by reducing the tension on the rope or using a stronger and more flexible material for the rope. Other techniques, such as lubricating the rope, can also help reduce the delay.

5. How is the concept of "A taut rope pulled - delay on the other end" relevant in science?

The concept of "A taut rope pulled - delay on the other end" is relevant in various scientific fields, such as physics, engineering, and communication. It helps in understanding the principles of tension, resistance, and transmission of forces. It also has practical applications in designing structures, analyzing mechanical systems, and developing communication technologies.

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