Circular Motion

Science > Physics > Circular Motion

Introduction to Circular Motion

  • Concept of Circular Motion
  • Characteristics of Circular Motion
  • Radius Vector
  • Instantaneous Velocity
  • Angular Displacement
  • Angular Velocity
  • Angular Acceleration
  • Uniform Circular Motion
  • The Time Period and the Frequency of UCM

Terminology of Circular Motion

  • Angular Displacement
  • Angular Velocity
  • Angular Acceleration
  • Right-Hand Rule
  • Right-handed Screw Rule
  • Expression for Time Period
  • Relation Between Linear Velocity and Angular Velocity
  • Relation Between Tangential Acceleration and Angular Acceleration

Numerical Problems: Circular Motion

  • To calculate Angular Speed
  • To calculate Angular Displacement
  • To calculate Linear Speed

Centripetal Acceleration

  • Source of Acceleration in Circular Motion
  • Concept of Centripetal Acceleration
  • Derivation of Expression for Centripetal Acceleration (Geometric Method)
  • Derivation of Expression for Centripetal Acceleration (Calculus Method)
  • Numerical Problems

Centripetal and Centrifugal Force

  • Concept of Centripetal Force
  • Characteristics and Examples of Centripetal Force
  • Concept of Centrifugal Force
  • Characteristics and Examples of Centrifugal Force

Numerical Problems on Centripetal Force 01

  • To Calculate Centripetal Force
  • To Calculate Angular and Linear Speed
  • To calculate the Tension in String

Numerical Problems on Centripetal Force 02

  • Safe Velocity of Vehicle on Arch Bridge
  • A Coin on Rotating Disc
  • Motorcyclist in Sphere of death
  • A Bucket Containing Water moved in Vertical Circle
  • Vehicle Moving on Unbanked Road

Banking of Road

  • Safe speed on Unbanked Road
  • Banking of Road
  • Angle of Banking
  • The Necessity of Banking of Road
  • Derivation of Expression for Angle of Banking
  • The Expression for Safe Velocity on Banked Road
  • Overturning of Vehicle
  • Condition for Overturning of Vehicle

Numerical Problems on Banking of Road

  • To Calculate Angle of Banking
  • To Calculate the Thrust on Rails
  • To Calculate Elevation of Outer Rail Above the Inner Rail
  • To Calculate Safe Velocity on Banked Road
  • To Calculate Angle Made by Motorcyclist With Vertical

Conical Pendulum

  • What is Conical Pendulum?
  • The Expression for Time Period of Conical Pendulum
  • The Expression for Tension in the String of Conical Pendulum
  • Numerical Problems

Motion in Vertical Circle

  • Motion in Vertical Circle as Non-Uniform Circular Motion
  • The Velocity of Particle at Different Points in Vertical Circle
  • The Energy of Particle at Different Points in Vertical Circle
  • The Tension in the String at Different Points in Vertical Circle
  • Numerical Problems

Science > Physics > Circular Motion