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# Cm 1a circular motion mathematical description (shared)

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### Cm 1a circular motion mathematical description (shared)

1. 1. A-level Physics Unit G484: The Newtonian World The mathematical description of circular motionCircular motion
2. 2. Uniform motion in a circle LOs u 1 v 2 Questions 1. Comparing situations 1 and 2, - what is the same? - what has changed? 2. explain your second answer [2 marks] .Circular motion LO 1: describe motion in a circle in terms of acceleration and force
3. 3. Uniform motion in a circle LOs u 1 v 2 Questions 3. Sketch a vector diagram to show the change in the velocity (∆v) of the object. 4. In which direction does ∆v point if we make the time interval between 1 and 2 very small?Circular motion LO 1: describe motion in a circle in terms of acceleration and force
4. 4. Uniform motion in a circle LOs u v Questions 5. What has happened because the velocity of the object has changed? 6. What must have made this change happen? [2 marks]Circular motion LO 1: describe motion in a circle in terms of acceleration and force
5. 5. Lesson focus • An introduction to circular motion Learning objectives At the end of the lesson you will be able to: • describe motion in a circle in terms of acceleration and force; • use the equation for speed v = 2πr/T ; • define the radian; • convert angles from degrees into radians and vice versa.Circular motion
6. 6. Learning outcomes All of you should be able to • define the radian; • convert from degrees to radians (and vice versa); • write an equation to describe the speed of an object moving in a circle. Most of you should be able to • write an expression for angular frequency in terms of Θ and t; • write an expression for angular frequency in terms of Θ and T; • connect the linear and angular speed of an object travelling in a circle.Circular motion
7. 7. Moving in a circle: speed LOs To do A particle is moving at a constant speed in a  v circular path. 1. Write down an expression for the r speed of the particle in terms of v, r and the time period, T. 2. Do the same in terms of v, r and f .Circular motion LO 2: use the equation for speed
8. 8. The radian LOs Definition The radian is a unit of angular measure. One radian is the angle subtended at the centre of a circle by an arc equal in length to the circle’s radius.Circular motion LO 3: define the radian