Uniform circular motion equation

Click For Summary

Homework Help Overview

The discussion revolves around the relationships between tension, radius, mass, and frequency in the context of uniform circular motion. Participants are attempting to derive an equation for frequency based on these relationships.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are discussing how to combine three proportional relationships involving tension, radius, and mass to formulate an equation for frequency. There is uncertainty about the correct interpretation of proportionality and how to express frequency in terms of the other variables.

Discussion Status

Some participants have provided insights into the relationships between the variables, suggesting that frequency is influenced by tension, radius, and mass. However, there is a lack of consensus on how to combine these insights into a single equation, and multiple interpretations are being explored.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. There is also a mention of potential misunderstandings regarding the nature of proportionality in the relationships discussed.

HelloMotto
Messages
73
Reaction score
0
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
 
Physics news on Phys.org
HelloMotto said:
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! :smile:

(i think you mean "inversely proportional" :wink:)

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 = … ? :smile:
 
tiny-tim said:
Hello HelloMotto! :smile:

(i think you mean "inversely proportional" :wink:)

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 = … ? :smile:


I don't understand :-(
 
HelloMotto said:
I don't understand :-(

you don't understand what? :confused:

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
 

Similar threads

Acceleration in uniform circular motion is uniform or non-uniform?
  • · Replies 55 ·
2
Replies
55
Views
3K
Dynamics of Circular Motion
  • · Replies 12 ·
Replies
12
Views
1K
A Car on a Banked Curve Moving in Uniform Circular Motion
  • · Replies 7 ·
Replies
7
Views
3K
How does radius affect frequency in uniform circular motion?
  • · Replies 17 ·
Replies
17
Views
9K
Uniform Circular Motion; Need help with deriving equations.
  • · Replies 4 ·
Replies
4
Views
9K
Is Vertical Circular Motion Ever Uniform?
  • · Replies 10 ·
Replies
10
Views
3K
Circular Motion Questions (energies, forces, angular velocities, etc.)
  • · Replies 2 ·
Replies
2
Views
2K
Uniform Circular Motion Inside a Sphere of Charge
  • · Replies 7 ·
Replies
7
Views
3K
Uniform Circular Motion - distance
  • · Replies 2 ·
Replies
2
Views
2K
Question kinetic energy in circular motion
  • · Replies 2 ·
Replies
2
Views
4K