Example 4: Newton's Second Law of Motion and Centripetal Force

Example 4: Newton's Second Law of Motion and Centripetal Force

From mes 3Speak Podcast by Math Easy Solutions

April 29, 2026

About this episode

This episode discusses Newton's Second Law of Motion and centripetal force, illustrating concepts with examples and graphing.

https://3speak.tv/watch?v=mes/a95ab284 In this video, I go over the vector version of Isaac Newton's 2nd Law of Motion, which states that if a force F acts on a particle of mass m producing an acceleration a, then F = m a, where F and a are vectors in the same direction. I illustrate this with an example on an object moving in a circular path. The resulting force points in the opposite direction of the position vector, thus is always pointing inwards towards the origin. Such a force is called a centripetal or center-seeking force. I also illustrate the concept of angular speed, and how it and the radius effects the centripetal force by graphing it in the amazing GeoGebra 3D graphing calculator: https://www.geogebra.org/graphing/q7vx6myn #math #vectors #calculus #physics #Geogebra Timestamps: Isaac Newton's 2nd Law of Motion: F = m a – 0:00 Example 4: Centripetal Force – 0:53 Solution: First find the acceleration from the 2nd derivative of the position vector – 1:33 Force = mass times acceleration – 3:43 Force is negative and thus in the opposite direction of the position vector, so it points inwards toward the origin, and is called centripetal force – 4:50 Illustrating the…

People in this episode

Host: Math Easy Solutions

Topics covered

  • Newton's Second Law
  • Centripetal Force
  • Angular Speed
  • Physics
  • Vectors

Keywords

  • Newton's Second Law
  • Centripetal Force
  • Angular Speed
  • Vectors
  • GeoGebra

Mentioned in this episode

Organizations: GeoGebra

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