Does the Radius Affect Centripetal Force?

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SUMMARY

Centripetal force is inversely proportional to the radius when linear speed is held constant. This means that as the radius increases, the centripetal force decreases. In scenarios where angular speed is constant, the relationship changes, necessitating a different analysis. To fully understand the dynamics, it is essential to draw a free body diagram of the forces acting on the object in motion and derive the corresponding equations.

PREREQUISITES
  • Understanding of centripetal force and its mathematical formulation
  • Knowledge of linear and angular speed concepts
  • Ability to create and interpret free body diagrams
  • Familiarity with basic physics equations related to circular motion
NEXT STEPS
  • Study the relationship between linear speed and centripetal force in circular motion
  • Learn how to derive equations for centripetal force based on angular speed
  • Practice drawing free body diagrams for various circular motion scenarios
  • Explore the effects of varying radius on centripetal force in practical applications
USEFUL FOR

Students of physics, educators teaching circular motion concepts, and anyone interested in the principles of dynamics and forces in motion.

mani88
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Homework Statement
I'm investigating the effect of radius on centripetal force using a conical pendulum. If the length of the string and the mass is kept constant and I increase the orbital radius (assuming force is also kept constant) would the period of the conical pendulum increase or decrease???
Relevant Equations
F=mv^2/r or
F=m4pi^2r/T^2
Well i think centripetal force is inversely proportional to the radius, so I'm guessing it would decrease but not sure to be honest.
 
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mani88 said:
think centripetal force is inversely proportional to the radius
In general, that depends what is held constant, linear speed or angular speed.
Which of those applies in this context? Or maybe something else?

Draw a free body diagram of the forces on the bob and write the corresponding equations.
 

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