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

  • Context: High School 
  • Thread starter Thread starter davedave
  • Start date Start date
  • Tags Tags
    Scale
Click For Summary
SUMMARY

The discussion centers on the scale of a circular model railway track, specifically a scale of 1:10 used in the accompanying diagram. The track consists of 15 identical curved pieces, each with a width of 1 cm and an inner arc length of 30 cm, resulting in a total circumference of 450 cm and an inner radius of 71.6 cm. The scale indicates that each centimeter in the drawing corresponds to 10 centimeters in reality, clarifying the representation of the model's dimensions.

PREREQUISITES
  • Understanding of scale representation in diagrams
  • Basic geometry related to circles and arcs
  • Knowledge of model railway components and assembly
  • Familiarity with measurement conversions (cm to mm)
NEXT STEPS
  • Research the principles of scale modeling and its applications
  • Explore geometric calculations for circular tracks
  • Learn about the construction and design of model railways
  • Investigate measurement techniques for accurate scaling in drawings
USEFUL FOR

Model railway enthusiasts, hobbyists in scale modeling, educators teaching geometry, and designers involved in creating scaled representations.

davedave
Messages
50
Reaction score
0
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?
 
Mathematics news on Phys.org
It's just saying that the drawing is \frac{1}{10}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.
 
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
 

Similar threads

High School Understanding Benford's Law Proof: Scaling and Invariance
  • · Replies 18 ·
Replies
18
Views
5K
MCNP6 Fatal Error : Models required
  • · Replies 7 ·
Replies
7
Views
3K
High School Sum up Questions for Gravitational Waves & Weighing Scales
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad New Hubble Paper On Lensing In Galactic Clusters
  • · Replies 2 ·
Replies
2
Views
3K
High School Sign conventions in torque and non-uniform circular motion
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Atmospheric Density vs Altitude in an O'Neil Cylinder
  • · Replies 1 ·
Replies
1
Views
3K
Studying Skipping Chapters in Stewart’s Calculus? (Pearson's Edexcel IAL Background)
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Calculate the 'Feel' of a Drumhead?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate "The 7 Strangest Coincidences in the Laws of Nature" (S. Hossenfelder)
  • · Replies 62 ·
3
Replies
62
Views
12K
Admissions Exploring the Universe: Pursuing a PhD in High Energy Physics
  • · Replies 8 ·
Replies
8
Views
4K