WTF Help!! (1 Viewer)

[Currybear]

So our school is makingus do a prac so i decided to do some miscellaneous questions and i am so f.eng confused....

so we need to find the spring constant, which is K . I was also given some data and after preforming some calculations, i worked it out to be ~26



1) square both side, which i got



2) what is ther relationship between T^2 & m (i think it may be T^2 & k, there may have been a typo)

3) what is the importance of the gradient


The test is on monday!! help!!

 

[Parvee]

-Its easier to see the relation if you use t=2pi root(l/g), where t is the time for one oscillation, l is the length of the string and g is gravity
-Squaring both sides gives you t^2=4pi^2 x l/g
-Rearranging this gives g=4pi^2l/t^2
-Now if you graph l vs t^2 and find the gradient the equation becomes g=4pi^2m where m is your gradient
-Your m value will most likely end up being around 1/4 which ends up making g just equal pi^2 which is 9.87 (assuming your finding the value of g on Earth).

 

[Currybear]

Thank you soo much!

How did you get the the gradient part, and when you say Lvs T^2, do you mean L on y axis and T^2 on x?

-Now if you graph l vs t^2 and find the gradient the equation becomes g=4pi^2m where m is your gradient
-Your m value will most likely end up being around 1/4 which ends up making g just equal pi^2 which is 9.87 (assuming your finding the value of g on Earth).