Centripetal Motion: Resolving Mistake with Diameter

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    Centripetal Motion
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SUMMARY

The discussion focuses on correcting a common mistake in centripetal motion calculations, specifically using diameter instead of radius. The correct relationship is established as radius (r) equals diameter (d) divided by two (r = d/2). The period (T) is calculated as 4.4 seconds, with frequency (f) defined as f = ω / 2π. Additionally, the centripetal force (Fc) is expressed as Fc = mω²r = mv²/r, emphasizing the importance of gravitational force acting on the rider.

PREREQUISITES
  • Understanding of centripetal motion concepts
  • Familiarity with angular frequency (ω) and its relationship to frequency (f)
  • Knowledge of gravitational force and its impact on objects in circular motion
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the principles of centripetal force in detail
  • Learn about the relationship between angular frequency and period in circular motion
  • Explore gravitational effects on objects in motion
  • Review additional resources on circular motion, such as HyperPhysics
USEFUL FOR

Students studying physics, educators teaching circular motion concepts, and anyone interested in correcting common misconceptions in centripetal motion calculations.

pureouchies4717
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resolved thanks to astronuc... radius = d/2

i accidentally used the diameter as my radius
 
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Well, let the period T = 1/f = 4.4 s.

and f = [itex]\omega[/itex] /2[itex]\pi[/itex]

and the centripetal force = Fc = m[itex]\omega^2[/itex]r = mv2/r, where r is the radius of the circular trajectory.

Also don't forget the rider is still in a gravitational field, so don't forget the rider's weight due to gravity, mg, which is always down.

See references on circular motion - http://hyperphysics.phy-astr.gsu.edu/hbase/circ.html#circ
 

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