What is the type scale in which the representative fraction is 1 : 1?
Full size scale
Scale Type for 1:1 Representative Fraction
Understanding the different types of scales used in mapping, drafting, and engineering drawings is fundamental. A scale defines the relationship between the dimensions on a drawing or map and the actual dimensions of the object or area it represents. One common way to express this relationship is through the Representative Fraction (RF).
Representative Fraction (RF) Explained
The Representative Fraction (RF) is a ratio that expresses the relationship between a unit distance on a map or drawing and the corresponding unit distance on the ground or the actual object. It is usually written as 1:X or 1/X, where the numerator (1) represents a unit on the map/drawing, and the denominator (X) represents the same unit on the ground/object.
Mathematically, the Representative Fraction is given by:
\$$ \text{RF} = \frac{\text{Map Distance}}{\text{Ground Distance}} \text{ or } \frac{\text{Drawing Dimension}}{\text{Actual Dimension}} \$$
Analyzing the 1:1 Scale
When the representative fraction is 1 : 1, it means that:
- 1 unit on the drawing or map represents exactly 1 unit on the ground or of the actual object.
- The drawing or map is an exact replica of the object or area in terms of size. There is no reduction or enlargement.
Types of Scales and Their Relationship with RF
Let's look at how different types of scales relate to their Representative Fraction:
| Scale Type | Representative Fraction (RF) Example | Description |
|---|---|---|
| Reduced Scale | 1:100, 1:10000, 1:500000 | The drawing or map is smaller than the actual object or area. This is used for representing large areas (like maps) or large objects (like buildings) on a smaller sheet of paper. The denominator is greater than the numerator. |
| Enlarged Scale | 2:1, 5:1, 10:1 | The drawing is larger than the actual object. This is used for showing very small objects or intricate details clearly, where the actual object is too small to draw at its true size (e.g., watch parts, small machine components). The numerator is greater than the denominator. |
| Full Size Scale | 1:1 | The drawing is exactly the same size as the actual object. This is used when the object is of a manageable size and needs to be depicted with its true dimensions, for example, small machine parts, bolts, or engineering components. |
| Graphical Scale | Not an RF; a bar scale | A visual bar printed on a map that shows the ground distance represented by a certain length on the map. It remains accurate even if the map is resized. |
Full Size Scale Conclusion
Based on the analysis, a representative fraction of 1 : 1 unequivocally indicates a Full size scale. This type of scale is crucial in fields like mechanical engineering and product design where precise, true-to-life representation of components is essential for manufacturing and assembly.
Important Questions from Linear Measurement
Which one is the CORRECT statement?
The method of reciprocal ranging can be used in which of the following cases?
The minimum number of persons required for direct ranging is 2 . Similarly, the number of persons required for indirect ranging is _______.
The scale of a drawing is given as 1 : 20.
What is the representative fraction?
1 chain is equal to
