Centripetal force

Gives the magnitude of the inward force needed to keep a body of mass m moving at speed v along a circle of radius r. The vector form adds a minus sign so the force points toward the center, opposite the outward unit vector.

F = \frac{mv^2}{r}

What the symbols mean

magnitude of the centripetal force (N)
mass of the moving body (\mathrm{kg})
speed of the body along the path (\mathrm{m/s})
radius of the circular path (\mathrm{m})

About this formula

  • FieldPhysics
  • TopicClassical mechanics
  • LevelHigh school
  • Also calledcentripetal force formula, force toward center of circular motion, circular motion force, mv squared over r, centripetal acceleration force, radial force in circular motion
  • SourceWikidata Q172881

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