Rearranging Equations to y= mx + b

[Ranjan1995]

Homework Statement

Graph the following charts on excel so you have a linear relationship.
Determine your x and y variables before graphing, you may have to rearrange and even recalculate some of the variables.

Angle Period (s)
0 0.95
10 0.94
20 0.97
30 1.00
40 1.03
50 1.09
60 1.14
NOTE: TEACHER SAID THAT SHE GAVE THE WRONG NUMBERS, THESE WONT WORK, JUST GIVING THEM INCASE ANYONE ASKS.

Homework Equations

T=2π√(lcosα/g)
Fixed l of 1.0 m
What is g?

The Attempt at a Solution

Firstly, I have to get rid of the square root

T^2 = 4π^2cosx/g
I removed the l since it is equal to 1 and is a constant

The problem is here already. What can I do to make it a linear function. The moment i squared the T it became a quadratic/ arc.

I KNOW it isn't much, but i am struggling for so long and can't seem to get anywhere. Sorry about that guys.

 

[berkeman]

Homework Statement

Graph the following charts on excel so you have a linear relationship.
Determine your x and y variables before graphing, you may have to rearrange and even recalculate some of the variables.

Angle Period (s)
0 0.95
10 0.94
20 0.97
30 1.00
40 1.03
50 1.09
60 1.14
NOTE: TEACHER SAID THAT SHE GAVE THE WRONG NUMBERS, THESE WONT WORK, JUST GIVING THEM INCASE ANYONE ASKS.

Homework Equations

T=2π√(lcosα/g)
Fixed l of 1.0 m
What is g?

The Attempt at a Solution

Firstly, I have to get rid of the square root

T^2 = 4πcosx/g
I removed the l since it is equal to 1 and is a constant

The problem is here already. What can I do to make it a linear function. The moment i squared the T it became a quadratic/ arc.

I KNOW it isn't much, but i am struggling for so long and can't seem to get anywhere. Sorry about that guys.

In the beginning of your problem statement, you mention x and y. But then in the equation there is no "y". Is x the independent variable in the equation? If so, what is the dependent variable?

 

[Ranjan1995]

T is the dependent variable

 

[HallsofIvy]

So you mean x and T rather than x and y?

 

[Ranjan1995]

Yes, sorry.

 

[berkeman]

Well I could be wrong, but I don't think you can fit a linear equation to the T = SQRT(cos(x)) equation that you are given. Are you maybe supposed to find the best linear fit across some small interval of x?