Understanding the Scale 1:10 of a Circular Model Railway Track

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In summary, the conversation is discussing a problem involving a circular railway track and a diagram depicting one piece of the track. The track consists of 15 identical pieces and when assembled, has a circumference of 450 cm and a radius of 71.6 cm. The scale used in the diagram is 1:10, meaning that each centimeter is represented by a millimeter in the drawing. The purpose of the scale is to show the relative size of the track in the diagram compared to its actual size.
  • #1
davedave
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Because I cannot draw a picture in this problem, I will do my best to describe it in words.

This problem is about a circular railway track. The diagram that goes with it shows one of the 15 curved pieces. Its width is MEASURED 1 cm and its arc length of the inner edge is MEASURED 30 cm.

The circular model railway track is made by connecting the 15 identical pieces. When the 15 pieces are assembled, the circumference of the inner edge is 450 cm. The radius of the inner edge is 71.6 cm. So, the scale used in the DIAGRAM is 1:10.

I don't understand why the scale for the diagram is 1:10.

Can someone please explain?
 
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  • #2
It's just saying that the drawing is [itex]\frac{1}{10}[/itex]th the size of what it would be in real life. It's giving an aspect of scale. So each CM is actually represented by a millimeter in the drawing.
 
  • #3
Can you grab on of the pieces and put right on top of its diagram? Is the drawing the same size as the actual piece? If so, the drawing's scale is 1:1 ...if the drawing is a lot smaller than the actual piece (10 times smaller) that it is 1:10
 

Related to Understanding the Scale 1:10 of a Circular Model Railway Track

1. What does the scale 1:10 mean in a circular model railway track?

The scale 1:10 represents the ratio of the size of the model train to the size of the real train. This means that for every 1 unit of measurement on the model train, the real train is 10 times larger.

2. How does the scale 1:10 affect the size of the track?

The scale 1:10 also applies to the size of the track. This means that for every 1 unit of measurement on the model track, the real track is 10 times larger. This allows for accurate representation of real train track sizes on a smaller scale.

3. Are there other common scales used in model railway tracks?

Yes, there are various other scales used in model railway tracks, such as 1:12, 1:18, 1:22.5, and 1:32. These scales represent different ratios and are used for different purposes, such as larger or smaller models or different types of trains.

4. How does the scale impact the level of detail on a model railway track?

The smaller the scale, the more challenging it is to add intricate details to the model. This is because the smaller the scale, the smaller the parts and details need to be. However, with advanced technology and techniques, highly detailed models can still be achieved even in smaller scales.

5. Is it important to use the correct scale in a model railway track?

Yes, using the correct scale is crucial in creating a realistic and accurate model railway track. Using an incorrect scale can result in disproportionate sizes and inaccurate representations of real trains and tracks. It is important to do proper research and choose the appropriate scale for the desired model.

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