Circular Motion

[tonogai40]

we recently did an experiment where we spun a stopper which was connected to a string and held stoppers on the other end of the string. we then found the centripital force and period of revolution.

using that data we plotted a graph which resulted in a parabolic graph. my question is that i need to manipulate that data so the graph becomes linear.

ive tried plotting F vs T^2 and things like F vs 1/T. The only restriction is that the graph has to be Applied Force vs Period.

any help would be greatly appreciated

[Ambitwistor]

Well, have you tried working out a formula the centripetal force as a function of period? Do you have a formula for centripetal force? What is it related to?

You can even work out the answer by dimensional analysis ... if you have a force, which has units of kilogram-meters per seconds-squared, how must that depend on time?

[PrudensOptimus]

Fc = ma = mv^2/R

v = 2 * pi * f = 2pi*T^-1

Fc = 4pi^2 * m/RT