General Uniform Circular Motion
This equation yields the "center pointing" acceleration of an object in uniform circular motion.
What is ac = v^2 / r ?
What is the normal (road) force?
For a marble moving on a vertical circular track, this is the cause of the ball skipping the track.
What is not getting enough speed?
This equation yields the free-fall acceleration at a distance r from a planet of mass M.
What is g = GM/r^2?
The number of times an object completes a rotation in a unit of time.
What is frequency?
On a banked turn, this force balances the weight of the car.
What is the normal (road) force?
For a marble moving in a vertical circle, this force always contributes to the centripetal acceleration.
What is the normal (track) force?
This equation yields the gravitational force between an object of mass m1 and an object of mass m2 at a distance r apart.
What is Fg = G m1 m2 / r^2?
The time it takes an object in circular motion to complete one revolution.
What is the period?
For a marble moving on a vertical circular track, the normal force of the track must be greater than the weight of the marble when it is at this position.
What is the bottom of the circle?
This is the gravitational force between two 50 kg people standing 1 m apart.
What is 1.7e-7 N?
This vector quantity points tangent to (or along) the circular path.
What is velocity (or momentum)?
WILDCARD: This is the weight of Himmy (in pounds), the world's fattest cat.
What is 46 pounds?
For a marble moving on a vertical circular track, this is the position at which the marble reaches its minimum speed.
What is the top?
This is the acceleration of a planet 1.5 au away from a star that is half the mass of the sun.
What is 0.001 m/s^2?
These two vector quantities point towards the center of the circular path.
What are net force and acceleration?
If the normal force on a 15-degree banked turn is 10,000 N, then this is the centripetal force.
What is 2600 N?
This is the tension in the string of a 2 kg ball swung in a vertical circle of radius 1 m at 4 m/s when the ball is at the top of the swing.
This is the free-fall acceleration on a planet of mass 3.3e+23 kg and radius 2.5e+6 (Mercury)
What is 3.5 m/s^2?