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Gravity and Circular Motion Revision

# Gravity and Circular Motion Revision - Gravity and Circular...

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BWH 10/04 AQA 13.3.1-6 1 Gravity and Circular Motion Revision AQA syllabus A Section 13.3.1-6 B.W.Hughes

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BWH 10/04 AQA 13.3.1-6 2 Circular motion When an object undergoes circular motion it must experience a centripetal force This produces an acceleration towards the centre of the circle
BWH 10/04 AQA 13.3.1-6 3 Angular Speed Centripetal Force

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BWH 10/04 AQA 13.3.1-6 4
BWH 10/04 AQA 13.3.1-6 5

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BWH 10/04 AQA 13.3.1-6 6
BWH 10/04 AQA 13.3.1-6 7 Angular speed Angular speed can be measured in ms -1 or Rads -1 (radians per second) or Revs -1 (revolutions per second) The symbol for angular speed in radians per second is ω

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BWH 10/04 AQA 13.3.1-6 8 Converting to ω To convert v to ω ω = v/r To convert revs per second to ω Multiply by 2π
BWH 10/04 AQA 13.3.1-6 9 Acceleration The acceleration towards the centre of the circle is a = v 2 /r OR a = ω 2 r

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BWH 10/04 AQA 13.3.1-6 10 Centripetal Force Equation The general force equation is F = ma so the centripetal force equation is F = mv 2 /r OR F = m ω 2 r THESE EQUATIONS MUST BE LEARNED!!
BWH 10/04 AQA 13.3.1-6 11 Example Gravity provides the accelerating force to

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