I need help with a question on my lab, im used to finding proportionality statements between sets of data and graphing it to get a straight line. But this question is different. Anyways heres the data i have. Oh ya the lab is on Centripetal Force

 

frequency/Force

1.02 / 5

1.33 / 10

1.65 / 15

1.87 / 20

 

The slashes just separate the numbers so they dont bunch up.

 

Here the question i need help on.

 

Rearrange the data for the frequency in such a manner as you think will result in a straight line when plotted. Plot this data on graph paper#2. What is the equation for this relationship by calculating the constant of proportionality.

Consider the shape that the graph currently makes, if it forms a parabola plot x agaisnt y² instead of just x against y, or another function depending what it looks like...

 

After doing this you should be able to find a gradient and use y=mx+c where y and x are possibly functions of the frequency and force.

 

|edit It is also possible to start with a known equation and work backwards to see what you need to plot i.e. t=232*log(z) +23 if you plot t against log(z) you should get a streight line of gradient 232 that crosses the x axis at 23.

another quick question. If in one of the questions it says the frequency is 10 s^-1 what does that mean??

10s^-1 = 10/s, in words: 10 per second.

1s^-1 is often refered to as 1Hz

 

||edited

1s^1 is offten refered to as 1Hz

No, but that´s because you made a typo.

EDIT: Two typos, actually.