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Transcript of Circular Motion
Since the acceleration vector of an object in uniform circular motion points in towards the center, its acceleration is named Centripetal (or "center-seeking") Acceleration.
There must be some physical force pushing or pulling the object towards the center of the circle. This is the centripetal force requirement.
Objects must accelerate to travel in circular motion.
The net force required to cause an object to accelerate in circular motion is called the centripetal force
Centripetal literally means "center-seeking" because the net force of an object traveling in circular motion must be directed inward.
Uniform Circular Motion:
-Speed is constant
-Direction is changing
Acceleration and UCM
Uniform Circular Motion
Is an object in uniform circular motion accelerating?
Acceleration and UCM
What is this acceleration called?
Where ac = centripetal acceleration (m/s2)
v = tangential speed (m/s)
r = radius (m)
"Forces cause Accelerations"
So, if an object in uniform circular motion is accelerating, it must have some net force acting on it. What's that called?
We are not introducing a new type of force but rather describing the direction of the net force acting upon the object which moves in the circle.
Whatever the object, if it moves in a circle, there is some force acting upon it to cause it to deviate from its straight-line path, accelerate inwards and move along a circular path.
So, for an object in uniform circular motion, Newton's Second Law get's restated as:
Where Fc = Centripetal Force (N)
m = mass (kg)
ac = centripetal acceleration (m/s2)
*This equation is derived on p. 154 of your text.
Name that centripetal force
Any curve will do
Squish the jelly
Name that Centripetal Force
Any Curve will do
Squish the Jelly
The vertical loop-the-loop
Name given to the force which seems to act outward on objects undergoing circular motion.
For an inertial frame of reference - this is a nonexistent or "fictitious" force.
This is the acceleration required for an object to complete circular motion