Does Centripetal force cause a tangential force?

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SUMMARY

The discussion centers on the relationship between centripetal force and tangential force in circular motion. It establishes that centripetal force, defined by the equations F = m(v²/r) and F = m r ω², acts towards the center of the circle. A tangential force only exists if there is tangential acceleration; however, if the angular speed remains constant, no tangential force is present. This conclusion is grounded in Newton's second law of motion.

PREREQUISITES
  • Understanding of centripetal force and its equations (F = m(v²/r), F = m r ω²)
  • Knowledge of angular velocity and its implications in circular motion
  • Familiarity with Newton's second law of motion
  • Basic concepts of tangential acceleration
NEXT STEPS
  • Study the implications of constant angular velocity in circular motion
  • Explore the concept of tangential acceleration and its calculation
  • Investigate real-world applications of centripetal force in engineering
  • Learn about the effects of varying angular velocity on forces in circular motion
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of circular motion and the forces involved.

Kalus
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If I have a string with a lump on the end and is being swung in a circle with a continuous angular velocity then I know that:

F= m\frac{v^2}{r}

or using angular velocity,

F= m r \omega^2

But, is there a tangential force acting at the point of mass in its instantaneous direction, and if so, what is it equal to?
 
Last edited:
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Hi Kalus! :smile:

("/tex" not "\tex" :wink:)

There's a tangential force only if there's a tangential acceleration (Newton's second law).

If the angular speed is constant, there isn't.
 

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