Fc​=m⋅v2​/r

where:

  • Fc is the centripetal force,
  • m is the mass of the object,
  • v is the velocity of the object in circular motion,
  • r is the radius of the circular path.

The unit of centripetal force depends on the units used for mass, velocity, and radius in the formula. In the International System of Units (SI), the unit of force is the newton (N). Therefore, the unit of centripetal force is the newton (N).

Real Life Examples

  • Gravitational pull from the Sun keeps Earth in orbit.
  • Earth's gravity causes the Moon to orbit.
  • Ice skater's spin accelerates when arms are pulled in, generating centripetal force.
  • Tension in swing chains provides centripetal force for circular motion.
  • Banked curves and speed create centripetal force for efficient race car turns.
  • Leaning into turns generates centripetal force for stable bicycle curves.
  • Water drain swirl influenced by centripetal force from circular motion.
  • Earth's rotation induces centripetal force, influencing atmospheric circulation.
  • Roller coaster design uses centripetal forces to keep riders secure in loops.
  • Centrifugal force in devices like centrifuges separates components based on density.

Further Reading