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Circular Motion
| Question | Answer |
|---|---|
| What is the equation for angle in radians | θ=l/r |
| How many radians are in one full circle | 2π |
| 30 degrees is how many radians | π/6 |
| 45 degrees is how many radians | π/4 |
| 60 degrees is how many radians | π/3 |
| 90 degrees is how many radians | π/2 |
| 180 degrees is how many radians | π |
| How many mils (military angles) in a complete circle | 6400 |
| Define angular velocity | The rate of change of angular displacement |
| Define instantaneous velocity | The rate of change of displacement |
| What are the 3 equations for angular velocity | ω=θ/t ω=2π/T ω=2πf |
| What is the equation relating instantaneous and angular velocity | v=rω |
| Define centripetal acceleration | The acceleration towards the centre of a circle brought about by a circling body orbiting the centre at a constant speed but changing direction |
| What are the equations for centripetal acceleration | a=(v^2)/r a=rω^2 |
| What are the equations for centripetal force | F=(mv^2)/r F=mrω^2 |
| What direction does the centripetal force act | Towards the centre of the circle |
| What is the equation for car going over a bump | FN=mg-(mv^2)/R |
| When is the surface normal force equal to zero when a car is going over a bump | v≥√(gR |
| What supplies the centripetal force on a flat curve | Friction of tyres |
| What reduces the tyres friction | -If the tyres are worn smooth -The road is icy or oily |
| What is the equation on a banked track/conical pendulum | tanθ=(v^2)/gr |
| Why would a car skid as it turns a corner | Insufficient friction between the tyres and the road. |
| What is the equation for necessary frictional force for motion on a flat curve | F=(mv^2)/r |
| What is the equation for a car going through a dip | FN=mg+(mv^2)/r |
| What is the equation at the bottom of a rollercoaster loop/vertical circle | FN-mg=(mv^2)/r |
| What is the equation at the top of a rollercoaster loop/vertical circle | FN+mg=(mv^2)/r |
| What is the equation at the side of a rollercoaster loop/vertical circle | FN=(mv^2)/r |