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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 |