Theoretical Curve Graph vs Straight Line

In summary, the graph is formed the way it is due to the general form of a linear equation, y=ax+b, when the original equation is squared.
  • #1
Richard Ros
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0

Homework Statement


What could be the reason why the graph is formed the way it is?

Homework Equations



τ = 2π(L/g)^(1/2)

The Attempt at a Solution


I don't know how to explain it. Anyone know why one is a linear and another is a curve?
 

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  • #2
Richard Ros said:

Homework Statement


What could be the reason why the graph is formed the way it is?

Homework Equations



τ = 2π(L/g)^(1/2)

The Attempt at a Solution


I don't know how to explain it. Anyone know why one is a linear and another is a curve?

An equation of the form y=ax+b is the most general form a linear equation. If you square your original equation can you see how it must have a linear form if y=τ^2 and x=L?
 

1. What is the difference between a theoretical curve graph and a straight line?

A theoretical curve graph is a visual representation of a mathematical function, where the values on the y-axis change continuously as the values on the x-axis change. A straight line, on the other hand, is a simple graph where the values on the y-axis change at a constant rate as the values on the x-axis change.

2. When should I use a theoretical curve graph instead of a straight line?

A theoretical curve graph is best used when the relationship between the variables is nonlinear. This means that the values on the y-axis do not change at a constant rate as the values on the x-axis change. A straight line is better suited for representing relationships that are linear.

3. How do I plot a theoretical curve graph?

To plot a theoretical curve graph, you will need to have a mathematical function that represents the relationship between the variables. Then, you can choose a range of values for the x-axis and plug them into the function to get the corresponding values for the y-axis. These points can be plotted on a graph to create the curve.

4. Can a theoretical curve graph ever be a straight line?

Yes, in some cases, a theoretical curve graph can appear as a straight line. This can happen when the relationship between the variables is approximately linear, meaning that the values on the y-axis change at a constant rate as the values on the x-axis change. However, it is still considered a theoretical curve graph because it is based on a mathematical function, rather than a simple linear relationship.

5. Are theoretical curve graphs used in any scientific fields?

Yes, theoretical curve graphs are commonly used in the fields of physics, chemistry, and engineering to represent various mathematical functions and relationships. They are also used in statistics and data analysis to visualize nonlinear relationships between variables.

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