Increase in length directly proportional to the origin length

In summary, "increase in length directly proportional to the origin length" means that when the original length of an object increases, the new length will also increase by the same proportion. This principle is commonly used in various scientific fields, such as physics and mathematics, to describe the relationship between two quantities. One real-life application of this principle is when measuring the expansion of materials due to temperature changes. The mathematical representation of this principle is expressed as y = kx, and it may not always be true in all situations as other factors can affect the increase in length. It is important to consider all variables and factors when applying this principle in scientific experiments.
  • #1
Check_1831
1
0
Hi all,

When an object is heated , why is the amount of change in its length directly proportional to the original length ? I have read that the increase in length it is directly proportional to the initial length in most of the articles. But I wanted to know how this proportionality arrived at ??
 
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  • #2
If one meter stick expands by 1 mm when heated by some amount then two hot meter sticks laid end to end will longer by a total of 2 mm.

And each half of a hot meter stick will have expanded by 1/2 mm.
 

Related to Increase in length directly proportional to the origin length

1. What does "increase in length directly proportional to the origin length" mean?

It means that when the original length of an object increases, the new length will also increase by the same proportion. For example, if the original length is doubled, the new length will also be doubled.

2. How is this principle used in science?

This principle is commonly used in various scientific fields, such as physics and mathematics, to describe the relationship between two quantities. It is often used in equations to represent a linear relationship between the two variables.

3. Can you give an example of a real-life application of this principle?

One example is when measuring the expansion of materials due to temperature changes. The increase in length of the material is directly proportional to its original length.

4. What is the mathematical representation of this principle?

The mathematical representation is expressed as y = kx, where y is the new length, x is the original length, and k is the constant of proportionality.

5. Is this principle always true in all situations?

No, this principle may not be applicable in some situations where there are other factors affecting the increase in length. It is important to consider all variables and factors when applying this principle in scientific experiments.

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