Circular Motion and acceleration

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SUMMARY

The discussion focuses on calculating the mass of washers and paper clips in a circular motion experiment where centripetal force (Fc) equals gravitational force (Fg). The user is provided with the number of washers, the radius, the mass of the stopper, and the period of rotation. The relevant equations include Fc = mv²/r and Fc = 4π²rm/T², but the user struggles with identifying the correct mass variables in these equations. The key conclusion is that the mass 'm' in Fc = mv²/r refers to the mass of the washers, while in Fg = mg, it refers to the mass of the stopper.

PREREQUISITES
  • Understanding of centripetal force and gravitational force concepts.
  • Familiarity with the equations of circular motion, specifically Fc = mv²/r and Fc = 4π²rm/T².
  • Basic knowledge of mass and its role in physics equations.
  • Ability to manipulate algebraic equations to solve for unknowns.
NEXT STEPS
  • Study the derivation and application of centripetal force equations in circular motion.
  • Learn how to apply the concept of gravitational force in various physics problems.
  • Explore the relationship between period, radius, and mass in circular motion experiments.
  • Practice solving problems involving multiple unknowns in physics equations.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for examples of practical applications of force equations.

aznclem
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Ok, for the circular motion, where we are suppose to have 0 acceleration,
this is the problem i have

My question ask for mass of the washers and paper clips by equating Fc to Fg,

and I am given the # of washers,
The radius
and the mass of the stopper.

and the period

now it ask me for mass


how do i find this?
i kno that
Fc = mv^2/r
or
Fc = 4pi^2rm/T^2
and
Fg = mg,
but how do i do it?
i can't seem to figure it out,
even after i figure out the speed, it doesn't help, i have 2 unknowns...The
Fc, and the mass...
help please?


Incase this helps, i am swinging the tubber sopper, with a tube, and below the tube is the paper clip to keep my distance so i kno i am swinging at a constant speed, then at the end of string is my washers for the mass.
 
Last edited:
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aznclem said:
Ok, for the circular motion, where we are suppose to have 0 acceleration,
The centripetal acceleration is certainly not zero!

this is the problem i have

My question ask for mass of the washers and paper clips by equating Fc to Fg,
OK.

and I am given the # of washers,
The radius
and the mass of the stopper.

and the period

now it ask me for mass
So you are given the mass of the stopper and you must compute the mass of the washers?


how do i find this?
i kno that
Fc = mv^2/r
or
Fc = 4pi^2rm/T^2
What mass does m stand for here?
and
Fg = mg,
What mass does m stand for here?

Realize that those equations use different masses: one uses the known mass of the stopper; the other uses the unknown mass of the washers.
 

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