Download presentation
Presentation is loading. Please wait.
Published byFlorence Washington Modified over 9 years ago
1
C H A P T E R 5 Dynamics of Uniform Circular Motion
3
5.1. Uniform Circular Motion
4
Uniform circular motion is the motion of an object traveling at a constant (uniform) speed on a circular path.
5
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.
6
Period and Speed
7
The period T is the time required to travel once around the circle—that is, to make one complete revolution.
8
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 = 2 r) divided by the time T:
9
5.2. Centripetal Acceleration
11
The centripetal acceleration of an object moving with a speed v on a circular path of radius r has a magnitude a c given by:
12
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 a c given by: Direction: The centripetal acceleration vector always points toward the center of the circle and continually changes direction as the object moves.
13
Derivation
14
The effect of the radius r on the centripetal acceleration. Find the centripetal acceleration at each turn for a speed of 34 m/s.
15
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
16
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.
17
Model Airplane Question: What is the centripetal force for the model airplane flying in the horizontal plane?
18
Model Airplane Question: What is the centripetal force for the model airplane flying in the horizontal plane?
19
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.
20
Car on a Flat-Curve Question: What is the centripetal force for a car moving along a cul-de-sac?
21
Car on a Flat-Curve Question: What is the centripetal force for a car moving along a cul-de-sac?
22
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.
23
Question: Why do airplanes make banked turn?
24
Answer: To generate the centripetal force required for the circular motion.
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.