Find tension in this train coupling

In summary, the problem involves a train consisting of an engine and several trucks with a total mass of 180 tonnes. The question asks for the tension in the coupling between the engine and the leading truck when the train is accelerating at 0.020 ms/1^2 and when it is moving at a constant velocity. Using the equation F= m*a, the tension can be calculated to be 1.6 * 10^3 N when the train is accelerating and 0 N when it is moving at constant velocity. The units for tension should be in Newtons.
  • #1
Doubell
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0
1. Homework Statement [/b

A railway engine of mass 100 tonnes is attahched to a line of trucks of total mass 80 tonnes. assuming there is no resistance to motion find the tension in the coupling between the engine and the leading truck (a) when the train has an acceleration of 0.020 ms/1^2
,(b) is moving at constant velocity. ( 1 tonne = 1.0 x 10^3 kg.)

Homework Equations



F= m*a

The Attempt at a Solution



for part (a) the tension in the coupling would be equal to the force acting on the train since the coupling is a device merely tranfering the force acting on the train to pull the trucks it is linked to. using force = mass * accelleration we can calculate the force of the train to be 80 000 kg *0.02 ms/s^2 which = 1.6 * 10^3 N. for part (b) the force acting on the couple would be 0 N since the velocity is constant there can be no acceleration because accelleration is the rate of change of velocity this implies that the force = 0 N since the acceleration = 0 m/s^2. mass * acceleration = force = 0 N are these answers right
 
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  • #2


Yes they are right ( except for the units of Tension ).
 

Related to Find tension in this train coupling

1. What is tension and why is it important to measure in a train coupling?

Tension is the force exerted by a string, cable, or other object that is pulled tight. In a train coupling, tension is important to measure because it affects the stability and safety of the train. Too much or too little tension can lead to accidents or damage to the train.

2. How is tension measured in a train coupling?

Tension in a train coupling is typically measured using a device called a tension gauge. This tool uses a spring-loaded mechanism to measure the amount of force being exerted on the coupling. The reading on the gauge can then be used to determine the tension in the coupling.

3. What factors can affect the tension in a train coupling?

Several factors can affect the tension in a train coupling. These include the weight of the train cars, the speed of the train, the condition of the train tracks, and the force of the locomotive pulling the train. Changes in any of these factors can impact the tension and may require adjustments to be made to the coupling.

4. How can tension in a train coupling be adjusted?

Tension in a train coupling can be adjusted by adding or removing weight from the train cars, adjusting the speed of the train, or making changes to the train tracks. In some cases, a tension regulator may also be used to control the tension in the coupling. It is important to carefully monitor and adjust the tension to ensure the safe and smooth operation of the train.

5. What are the potential consequences of incorrect tension in a train coupling?

Incorrect tension in a train coupling can have serious consequences. If the tension is too high, it can put excessive strain on the coupling and lead to damage or even derailment of the train. On the other hand, if the tension is too low, the train may have difficulty staying on the tracks or may not have enough power to move efficiently. It is important to regularly check and adjust the tension to prevent accidents and ensure the safe operation of the train.

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