Relating y=mx+c and T^2=kd^3+4pi^2l/g

[Natalie Morris]

Homework Statement

Can someone please tell me how these two equations are related

Homework Equations

y=mx+c; T^2=kd^3+4pi^2l/g[/B]

 

[phinds]

The first is just the generic equation for a line in 2-D space. The second does not seem to be related to it at all. Are we supposed to just guess where you got these and why you want to compare them? That is, should we just guess what the context of your question is?

 

[NascentOxygen]

Homework Statement

Can someone please tell me how these two equations are related

Homework Equations

y=mx+c; T^2=kd^3+4pi^2l/g[/B]

Hi NM. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

I don't recognize the kd^3 term. Where did this equation for T^2 come from?

This old thread may hold some answers: https://www.physicsforums.com/threads/shm-pendulum-length-gravity-question.529318/

 

[Natalie Morris]

Well we got a pendulum lab to perform and had to relate the period T^2 to the distance of a yielding support d^3. That equation was provided to us to use to determine the values of k and g in the equation, where k was a constant and g was acceleration of free fall

 

[HalfLostAndSearching]

The y=mx+c equation is a linear equation that represents a straight line on a graph, where m is the slope of the line and c is the y-intercept. This equation is often used to describe the relationship between two variables, where y is the dependent variable and x is the independent variable.

On the other hand, the T^2=kd^3+4pi^2l/g equation is a non-linear equation that represents the relationship between the period (T) of a pendulum and its length (d). This equation is derived from the equation for the period of a pendulum, T=2pi√(l/g), where l is the length of the pendulum and g is the acceleration due to gravity.

To relate these two equations, we can see that both equations involve variables (y and T) that are dependent on another variable (x and d). In the case of the y=mx+c equation, x represents the independent variable that affects the value of y, while in the T^2=kd^3+4pi^2l/g equation, d represents the independent variable that affects the value of T. Additionally, both equations involve a constant (c and 4pi^2l/g) that does not change.

Therefore, we can say that both equations are related in the sense that they represent the relationship between two variables, where one variable is dependent on the other and is affected by a constant. However, the nature of the relationship is different in each equation, with one being linear and the other being non-linear.