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Uniform Circular Motion https://www.youtube.com/watch?v=KvCezk9DJfk What is a circle? In geometry: the set of all points in a plane that are at a given distance from a given point. What is a circle? In physics: All points whose position vector has the same beginning and the same length in a plane. Radial Position Vectors p p Uniform Circular Motion •Constant speed •But not constant velocity •The velocity is always changing direction Uniform Circular Motion Velocity vector is perpendicular to position vector. It’s a tangent. v p Uniform Circular Motion Period - the time it takes to go around the circle once Symbol - T Uniform Circular Motion Acceleration vector is perpendicular to velocity vector and pointed to center of circle. v ac centripetal acceleration (ac) “center seeking” Uniform Circular Motion Use geometry’s similar triangles: ac = 2 v /r ac = centripetal acceleration (m/s2) v = velocity (m/s) r = radius of circle (m) Uniform Circular Motion centripetal force Fc = mac Fc = centripetal force (N) m = mass of object (kg) ac = centripetal acceleration (m/s2) Uniform Circular Motion v centripetal force Fc = mac https://www.youtube.com/watch?v=DLgy6rVV-08 Fc Sample A 1.6 kg object travelling in a circle has a centripetal acceleration of 9.0 m/s2. What is the centripetal force acting on the object? Given Unknown Equation Substitute Solve Work Your Turn Problems https://www.youtube.com/watch?v=ID0R43My4Co&index=8&list=PLZHDrmpjw4My79MFX9azRSkG9hXTP2FNJ