Understanding Centripetal Force in Circular Motion Experiments

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Homework Help Overview

The discussion revolves around an experiment involving circular motion, where participants explore the relationship between centripetal force and velocity while keeping the radius constant. The original poster expresses confusion about how to calculate centripetal force in the context of their experiment, particularly regarding the role of mass and tension in the system.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formula for centripetal force and question whether the mass hanging from the string provides the necessary centripetal force. There is also a consideration of how tension in the string relates to the forces acting on the mass.

Discussion Status

Some participants have provided insights into the role of tension in the string as the centripetal force, while others have sought clarification on the setup of the experiment. The discussion appears to be productive, with participants engaging in reasoning about the forces involved.

Contextual Notes

There is an emphasis on the specific experimental setup, including the use of a frictionless loop and the arrangement of masses, which may influence the interpretation of forces at play. Participants are navigating assumptions about how these factors affect the calculation of centripetal force.

paperdoll
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Homework Statement


I did this circular motion experiment where we had to change the mass of weights on the bottom of a fishing wire and we kept the radius the same. The questions in the post lab say to graph "centripetal force vs velocity". I worked out the velocity by using the 2pi*r/t formula but I'm not sure about the centripetal force. Would it be the mass on the bottom of the string providing the centripetal force? Very confused and would appreciate some help :confused:

Thanks


Homework Equations





The Attempt at a Solution


 
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The formula for clculating centripetal force is:

f =\frac{mv^{2}}{r}

r is the radius from the axis of rotation to the mass.
 
rollcast said:
The formula for clculating centripetal force is:

f =\frac{mv^{2}}{r}

r is the radius from the axis of rotation to the mass.

I know this is the formula but apparently in this experiment, I'm supposed be only using the mass to find the centripetal force because the masses are hanging off the bottom of the string while the top is being whirled around.
 
hi paperdoll! :smile:
paperdoll said:
I know this is the formula but apparently in this experiment, I'm supposed be only using the mass to find the centripetal force because the masses are hanging off the bottom of the string while the top is being whirled around.

oh, you mean the string goes from a mass up to the centre, through a frictionless loop, then carries on to a weight that's being whirled around?

so the mass stays still?

in that case, the centripetal force is the tension T in the string

since the tension is the same throughout the string (because the loop is frictionless), it's also the only force that's holding up the mass …

so doing F = ma on the mass we have T - mg = 0,

so in this case, yes, the centripetal force (= T) is mg :wink:
 
tiny-tim said:
hi paperdoll! :smile:


oh, you mean the string goes from a mass up to the centre, through a frictionless loop, then carries on to a weight that's being whirled around?

so the mass stays still?

in that case, the centripetal force is the tension T in the string

since the tension is the same throughout the string (because the loop is frictionless), it's also the only force that's holding up the mass …

so doing F = ma on the mass we have T - mg = 0,

so in this case, yes, the centripetal force (= T) is mg :wink:


Thanks! That clears things up now :)
 

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