How large is the greatest slope this train can climb?

In summary, the maximum slope a train can climb depends on various factors such as weight, power, and traction. On average, a train can climb slopes of up to 4% or 1 in 25 without assistance. The slope of a train's track is determined using a surveying technique called leveling. Additional equipment such as rack and pinion systems, cogwheel systems, or special locomotives can help trains climb steeper slopes. The steepest slope a train has ever climbed was on the Mount Washington Cog Railway, with a maximum gradient of 37.4%. However, there are limitations to the slope a train can climb due to potential safety hazards and strain on the train's engine. It is important for trains
  • #1
cmcd
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Homework Statement



A train wheel's have a coefficient of 0.08. What is the steepest slope the train can climb?


Homework Equations



Friction force = coefficient x component of train's weight perpendicular to slope x 9.81

If the train is on the point of slipping
Friction force = component of train's weight parallel to slope x 9.81


3. The Attempt at a Solution [/

90 - ArcTan ( 1 / 0.08 ) = 4.57 degrees.

The answer is supposed to be 2.54 degrees ?
 
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  • #2
I get the same result you have.
Perhaps you should check the question and make sure the 2.54 is the answer that goes with that question.
 
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  • #3
Thanks .Scott
 

FAQ: How large is the greatest slope this train can climb?

What is the maximum slope a train can climb?

The maximum slope a train can climb depends on various factors such as its weight, power, and traction. However, on average, a train can climb slopes of up to 4% or 1 in 25 without assistance.

How is the slope of a train's track determined?

The slope of a train's track is determined using a surveying technique called leveling. This involves using a leveling instrument to measure the difference in elevation between two points along the track. The slope is then calculated by dividing this difference by the horizontal distance between the two points.

Can trains climb steeper slopes with the help of additional equipment?

Yes, trains can climb steeper slopes with the help of additional equipment such as rack and pinion systems, which provide extra traction and support on steep inclines. Some trains also use cogwheel systems or special locomotives to assist in climbing steep slopes.

What is the steepest slope a train has ever climbed?

The steepest slope a train has ever climbed was on the Mount Washington Cog Railway in New Hampshire, USA. This railway has a maximum gradient of 37.4%, making it the steepest railway in the world.

Are there any limitations to the slope a train can climb?

Yes, there are limitations to the slope a train can climb. If the slope is too steep, the train may lose traction or even derail. Additionally, steep slopes put extra strain on the train's engine and may require additional maintenance and repairs. Therefore, it is important for trains to adhere to safe and manageable slopes for efficient and safe operation.

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