Uniform circular motion equation

[HelloMotto]

ok so we did a lab. By looking at the graph, we determined that

force of tension is proportional to frequency of revolution
radius is indirectly proportional to the frequency of revolution
mass is indirectly proportional to the frequency of revolution

the next part of the question is

"combine the three results to obtain a equation for the frequency in terms of the tension, the radians, and the mass."

My group and I have no clue how to combine the 3 relationships to form one equation for frequency. Please help me out if you can please

 

[tiny-tim]

My group and I have no clue how to combine the 3 relationships to form one equation for frequency. Please help me out if you can please

Hello HelloMotto!

(i think you mean "inversely proportional" )

ω = aT, where a depends on r and m

ω = b/r, where b depends on T and m

ω = c/m, where c depends on T and r

so ω = … ?

 

[HelloMotto]

Hello HelloMotto!

(i think you mean "inversely proportional" )

ω = aT, where a depends on r and m

ω = b/r, where b depends on T and m

ω = c/m, where c depends on T and r

so ω = … ?

I don't understand :-(

 

[tiny-tim]

I don't understand :-(

you don't understand what?

T is tension, r is radius, m is mass, ω is frequency,

a is a function of r and m, but is a constant if r and m are fixed