Centripetal Forces

Key points

  • Centripetal acceleration and velocity are caused by centripetal forces.
    • The direction of the force is towards the center of the circle.
  • Centripetal forces are the net forces that cause uniform circular motion.

Centripetal Forces are the net forces that act towards the center of the circle and cause circular motion.

  • Centripetal forces will be stronger with higher acceleration and velocity, as well as mass.
  • Radius also has an influence – a smaller radius means a “tighter” circle and a greater centripetal force.
  • Note: There is a difference between centripetal and centrifugal forces, as seen in the second image to the right.

Formula Booklet

The formula booklet equation is to the right.

  • From Newton’s Second Law, we know that F=ma, so the force can be calculated by multiplying the mass of the object by the centripetal acceleration.
    • Use the first formula if using linear velocity, and the second for angular velocity.
  • In word problems, use calculated values for centripetal force in combination with forces like friction, weight, and reaction forces.

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