Calculating centripetal acceleration

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SUMMARY

The discussion focuses on calculating the centripetal acceleration of a ball in circular motion. At the top of the circle, the centripetal acceleration is established as 13g. By applying the principle of conservation of energy, participants deduce that the centripetal acceleration at the bottom of the circle is closest to 19g. The correct answer to the problem posed is option C, 19g.

PREREQUISITES
  • Understanding of centripetal acceleration
  • Knowledge of gravitational force (g)
  • Familiarity with the concept of conservation of energy
  • Basic principles of circular motion
NEXT STEPS
  • Study the equations of motion for circular dynamics
  • Learn about the relationship between gravitational force and centripetal acceleration
  • Explore energy conservation in mechanical systems
  • Investigate real-world applications of centripetal acceleration in engineering
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Physics students, educators, and anyone interested in understanding the dynamics of circular motion and centripetal forces.

Ralph221
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A ball of mass m is suspended from a rope of length R. The ball is set into freely swinging circular motion in a vertical plane. The centripetal acceleration of the ball at the top of the circle is 13g. The centripetal acceleration of the ball at the bottom of the circle is closest to:

A. 15g
B. 17g
C. 19g
D. 16g
E. 18g
 
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Ralph221 said:
A ball of mass m is suspended from a rope of length R. The ball is set into freely swinging circular motion in a vertical plane. The centripetal acceleration of the ball at the top of the circle is 13g. The centripetal acceleration of the ball at the bottom of the circle is closest to:

A. 15g
B. 17g
C. 19g
D. 16g
E. 18g

Hi Ralph221! Welcome to PF! :smile:

Hint: use conservation of energy. :wink:
 

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