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- 1. MechanicsTopic 2.4 Uniform Circular Motion
- 2. Circular Motion A body moving with uniform speed in a circle is changing velocity as the direction changes. This change of velocity, and the acceleration is directed towards the centre of the circle This acceleration is called the centripetal acceleration
- 3. Vector Diagrams velocity at a tangent uniform speed Acceleration and force directed towards the centre
- 4. Centripetal Acceleration The expression for centripetal acceleration is a = v2 = 4π2r r T2 Where v is the velocity at any instant (i.e.the constant speed) And r is the radius of the circle T is the time period of one complete circle
- 5. Centripetal Force The expression for centripetal force is F = mv2 r Where v is the velocity at any instant (i.e.the constant speed) m is the mass of the object And r is the radius of the circle
- 6. Examples of Centripetal Force include the gravitational force keeping the moon in its orbit the friction acting sideways on the tyres of a car turning a corner the tension in a rope, when a bucket of water is swung around your head

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