c h a p t e r 5 dynamics of uniform circular motion
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C H A P T E R 5Dynamics of Uniform
Circular Motion
C H A P T E R 5Dynamics of Uniform
Circular Motion
5.1. Uniform Circular Motion
5.1. Uniform Circular Motion
Uniform circular motion is the motion of an object traveling at a constant (uniform) speed on a circular path.
5.1. Uniform Circular Motion
Uniform circular motion is the motion of an object traveling at a constant (uniform) speed on a circular path.
The motion of a model airplane flying at a constant speed on a horizontal circular path is an example of uniform circular motion.
Period and Speed
Period and Speed
The period T is the time required to travel once around the circle—that is, to make one complete revolution.
Period and Speed
The period T is the time required to travel once around the circle—that is, to make one complete revolution.
The speed v is the distance traveled (circumference of the circle = 2r) divided by the time T:
5.2. Centripetal Acceleration
5.2. Centripetal Acceleration
5.2. Centripetal Acceleration
The centripetal acceleration of an object moving with a speed v on a circular path of radius r has a magnitude ac
given by:
5.2. Centripetal Acceleration
The centripetal acceleration of an object moving with a speed v on a circular path of radius r has a magnitude ac
given by:
Direction: The centripetal acceleration vector always points toward the center of the circle and continually changes direction as the object moves.
Derivation
The effect of the radius r on the centripetal acceleration.
Find the centripetal acceleration at each turn for a speed of 34 m/s.
5.3. Centripetal ForceThe centripetal force is the net force required to keep an object of mass m, moving at a speed v, on a circular path of radius r, and it has a magnitude of
5.3. Centripetal Force The centripetal force is the net force required to keep an object of mass m, moving at a speed v, on a circular path of radius r, and it has a magnitude of
Direction: The centripetal force always points toward the center of the circle and continually changes direction as the object moves.
Model Airplane
Question: What is the centripetal force for the model airplane flying in the horizontal plane?
Model Airplane
Question: What is the centripetal force for the model airplane flying in the horizontal plane?
Model Airplane
Question: What is the centripetal force for the model airplane flying in the horizontal plane?
Answer: The tension in the guideline is the centripetal force, which pulls the plane inward.
Car on a Flat-Curve
Question: What is the centripetal force for a car moving along a cul-de-sac?
Car on a Flat-Curve
Question: What is the centripetal force for a car moving along a cul-de-sac?
Car on a Flat-Curve
Question: What is the centripetal force for a car moving along a cul-de-sac?
Answer: Static frictional force between the road and the tires.
Question:Why do airplanes make banked turn?
Question:Why do airplanes make banked turn?
Answer:
To generate the centripetal force required for the circular motion.