Circular Motion Unit 1 Mod. 1 A2 OCR

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  • Circular Motion
    • Distance of one complete 'travel' around circle
      • 2?r
        • Circumference of circle
    • Orbital Speed
      • s = d/t
        • d = 2?r
          • 2?r = distance (around circle)
            • v = 2?r/t
        • s = v
          • v = velocity
            • v = 2?r/t
        • t = t
          • t = time taken for travel
      • Angular Speed
        • Ø = x/r
          • Ø = Theta Radians (angle size in radians)
            • Remember: 2? = 360°
        • Angular speed - w
          • w - omega   (a little bit curvier in handwriting)
          • w = 2?/t
            • Radians per second
              • "Amount of turn/ distance" per second - hence speed
            • Simplifies to
              • v = wr
                • Proof
                  • v = 2?r/t
                    • Orbital Speed
                    • w = 2?/t
                      • "plugging in" w = 2?/t to     v = 2?r/t
                        • v = wr
        • w = 2?/ T
          • Derived from
            • f = w/2?
              • 1/f = 2?/w
                • T = 2?/w
                  • Rearranges to...
                    • w = 2?/T
      • Frequency
        • f = w/2?
          • f = frequency
          • w = angular speed
          • 2? = distance around whole circle
      • Period
        • TIME for ONE COMPLETE CYCLE
        • T = 1/f
          • Same as waves at   AS - level
      • Centripetal Acceleration
        • dØ = dx/r
          • Just the radian "rule" don't worry!
        • v = dx/dt
          • IMPORTANT:  Only applies when dØ is VERY SMALL
        • a = v^2/r
        • a = w^2/r
      • Centripetal Force
        • F = mv^2/r

    Comments

    Stewie Griffin

    Haven't got a clue, but it looks good

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