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Circular Motion

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Daniel Shomaker

on 7 December 2017

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Transcript of Circular Motion

Circular Motion
Centripetal Accleration
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.
Centripetal Force
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?
Centripetal Acceleration
Where ac = centripetal acceleration (m/s2)
v = tangential speed (m/s)
r = radius (m)
"Net 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 .
If an object moves in a circle, there is some net fo acting upon it to cause it to deviate from its straight-line path, accelerate inwards and move along a circular path.
Centripetal Force
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
Centrifugal force
The loop-the-loop
Name that Centripetal Force
Any Curve will do
Squish the Jelly
The vertical loop-the-loop
Centrifugal Force
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
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