Radial force in a circular motion

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SUMMARY

The discussion focuses on calculating the radial force acting on a particle in circular motion, given its mass (m), radius (r), and linear momentum (p). The derived formula for radial force is Fradial = p²/(rm), which is confirmed as correct by the participant Doc Al. The conversation highlights the relationship between linear momentum and centripetal acceleration, emphasizing the formula p = mv and acentripetal = v²/r.

PREREQUISITES
  • Understanding of linear momentum (p = mv)
  • Knowledge of centripetal acceleration (acentripetal = v²/r)
  • Familiarity with the concept of radial force in circular motion
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of centripetal force equations
  • Explore applications of radial force in real-world circular motion scenarios
  • Learn about the relationship between angular momentum and linear momentum
  • Investigate the effects of varying radius on radial force in circular motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for clear examples of momentum and force calculations.

Vavi Ask
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Homework Statement


Given-
Mass of particle=m
Radius of the circular path=r
Magnitude of linear momentum= p
Find the radial force acting on the particle.

Homework Equations


p=mv
acentripetal=v2/r

The Attempt at a Solution


Fradial=macentripetal
=mv2/r
=mv2×m/r×m
=p2/rm
 
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Looks OK to me.
 
Doc Al said:
Looks OK to me.
Sir, are there more chances for it to be right?? An OK is not enough sir...:biggrin::smile:
 
Vavi Ask said:
Sir, are there more chances for it to be right?? An OK is not enough sir...:biggrin::smile:
Doc Al is saying your work is correct.
 
haruspex said:
Doc Al is saying your work is correct.
Oh sorry sir. I felt an air of confusion in your OK that's why. Thanks a lot sir.
 
haruspex said:
Doc Al is saying your work is correct.
Oh sorry sir. I felt like a confusion in your OK. Well, thanks a lot sir.
 

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