Circular Motion

Description

This mind map provides an introduction to circular motion. Topics covered include angular & linear velocity, periodic time, centripetal acceleration, centripetal & centrifugal forces, and Kepler's third law. It is aimed at a leaving certificate student, or someone who has an interest in learning more about circular motion.
alex.examtime9373
Mind Map by alex.examtime9373, updated more than 1 year ago
alex.examtime9373
Created by alex.examtime9373 over 10 years ago
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Resource summary

Circular Motion
  1. Angle
    1. Radians
      1. Arc length/ radius
        1. Scalar quantity
        2. Velocity
          1. Angular velocity (ω)
            1. Rate of change of angle
              1. Vector quantity
                1. Radians per second
                2. Linear velocity (v)
                  1. Speed of the particle in a direction perpendicular to the radius at that point
                    1. Vector quantity
                      1. Metres per second
                      2. v = rω
                        1. v = linear velocity
                          1. r = radius
                            1. ω = angular velocity
                          2. Periodic time (T)
                            1. Time taken for one complete revolution
                              1. T = 2π/ω
                                1. T = 2πr/v
                                2. Centripetal acceleration
                                  1. Directed towards the centre of the circle
                                    1. Vector quantity
                                      1. Metres per second squared
                                        1. a = ω²r
                                          1. a = v²/r
                                          2. Force
                                            1. Centripetal force
                                              1. Force required to maintain uniform circular motion
                                                1. Directed towards the centre
                                                  1. Newton
                                                    1. F = mω²r
                                                      1. F = mv²/r
                                                      2. Centrifugal force
                                                        1. Opposing force
                                                      3. Circular satellite orbits
                                                        1. Kepler's third law
                                                          1. T² = (4π²R³)/GM
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