Length vs. Period: Comparing Linear & Quadratic Relationships

[petern]

I did a pendulum lab and determined that length affected the period. So the values got where:

10 cm = 6.47 s
15 cm = 7.895 s
20 cm = 8.94 s
25 cm = 9.89 s
30 cm = 10.5 s
35 cm = 11.905 s

With these values, it seems like graphing this straight as it is results in a linear line, but I searched around and found that others did period^2 vs. length.

What should I do?

 

[rock.freak667]

well the equation for the period of a pendulum is given by
$$T=2\pi\sqrt{\frac{l}{g}}$$

so can plot T^2 vs. l or plot T vs.sqrt{l} and you'll get it

 

[petern]

Which equation should I use to describe the T^2 graph. My friend said it includes length, acceleration, and radius.

 

[rock.freak667]

Well both are the same...if you plot T^2 vs. l the gradient of that graph would be [itex]\frac{4\pi^2}{g}[/tex] and you can find g from there[/itex]

 

[I-Need-Help!!]

Hey please help me out here ...i m in grade 11 and i got this assignmnt ..where i have to design a car that will move forward from a suspended mass...i have no idea wot to do ... itz due this frdaypleasez i really need help...none of my grou members are helping me out ..

 

[petern]

He said it was l=a/r since the T^2 graph is linear and the slope of that graph is the acceleration, is he right?

 

[rock.freak667]

Don't hijack this thread...make your own

 

[rock.freak667]

The experiment would usually follow for the equation i typed

 

[I-Need-Help!!]

wot do u mean...i m new.i dunoo how to make a mnew thread!

 

[rock.freak667]

Go https://www.physicsforums.com/forumdisplay.php?f=153 and click on New Topic

 

[I-Need-Help!!]

ohh thanx..i did ...do u think sumone will help me out??

 

[rock.freak667]

If you show what ideas you have...yes

 

[I-Need-Help!!]

can u help me out?..i hav dis idea..

 

[rock.freak667]

can u help me out?..i have dis idea..

make your own thread and someone will be able to help you

 

[I-Need-Help!!]

okay thanx