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Dan Paulo Amado
Dan Paulo Amado

This document defines and discusses key concepts related to uniform circular motion, including period, frequency, centripetal acceleration, centripetal force, and centrifugal force. It provides the relevant equations, examples of their application, and sample problems to solve for variables like period, frequency, speed, centripetal acceleration, and centripetal force. Key topics covered are the forces involved in circular motion, definitions of related terms, and how to apply Newton's second law of motion to derive and use the equation for centripetal force.

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UNIFORM CIRCULAR MOTION
Target  Todefine period, frequency, uniform circular motion, centripetal acceleration, centripetal force and centrifugal force;  To identify the forces acting on a body moving in a circular path;
Target  Toderive the equation for centripetal force from Newton’s second law of motion;  Tocite applications of centripetal force; and  To solve problems related to circular motion.
Ucm
Period and Frequency  Period (T) is the  Frequency (f) is time required for the number of a body to make revolutions one complete completed by a revolution. body in a given time. Units: s, min, hr. or Units: yr. rev/s, rev/min, rev/hr. or rev/yr.
Uniform Circular Motion  Itis the motion of a body that moves in a circular path at constant speed.
Centripetal acceleration  The inward acceleration of a body moving in circular motion.
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Ucm
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Forces  Centripetal  Centrifugal force is the force is the force that force that is pulls a body directed inward when away from moving in a the center of circular path. a circular path.
Examples
Examples
Equations 
Equations 
Equations 
Sample Problem 1  A little girl is playing with her skip ball. The ball is in uniform circular motion and makes 20 revolutions in 4 s. (a) What is its period? (b) What is its frequency? (c) If the length of the cord that holds the ball is 0.8 m, what is its speed? (d) If the ball’s mass is 3 g, how much force is acting on the ball to keep it in uniform circular motion?
Sample Problem 1 Given: no. of rev = 20 time = 4 s lengthcord = 0.8 m mass = 3 g Find: a. T c. v b. f d. Fc
Sample Problem 2 A 0.1-kg mass is attached to a 0.9-m length of string. The weight is swung in a horizontal circle, making one revolution in 1.2 s. (a) Find the speed of the mass. (b) What is its centripetal acceleration? (c) What is the force that the string exerts on it?
Sample Problem 2 Given: mass = 0.1 kg lengthstring = 0.9 m no. of rev = 1 time = 1.2 s Find: a. v b. ac c. Fc

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Ucm

  • 2. Target  Todefine period, frequency, uniform circular motion, centripetal acceleration, centripetal force and centrifugal force;  To identify the forces acting on a body moving in a circular path;
  • 3. Target  Toderive the equation for centripetal force from Newton’s second law of motion;  Tocite applications of centripetal force; and  To solve problems related to circular motion.
  • 5. Period and Frequency  Period (T) is the  Frequency (f) is time required for the number of a body to make revolutions one complete completed by a revolution. body in a given time. Units: s, min, hr. or Units: yr. rev/s, rev/min, rev/hr. or rev/yr.
  • 6. Uniform Circular Motion  Itis the motion of a body that moves in a circular path at constant speed.
  • 7. Centripetal acceleration  The inward acceleration of a body moving in circular motion.
  • 11. Forces  Centripetal  Centrifugal force is the force is the force that force that is pulls a body directed inward when away from moving in a the center of circular path. a circular path.
  • 17. Sample Problem 1  A little girl is playing with her skip ball. The ball is in uniform circular motion and makes 20 revolutions in 4 s. (a) What is its period? (b) What is its frequency? (c) If the length of the cord that holds the ball is 0.8 m, what is its speed? (d) If the ball’s mass is 3 g, how much force is acting on the ball to keep it in uniform circular motion?
  • 18. Sample Problem 1 Given: no. of rev = 20 time = 4 s lengthcord = 0.8 m mass = 3 g Find: a. T c. v b. f d. Fc
  • 19. Sample Problem 2 A 0.1-kg mass is attached to a 0.9-m length of string. The weight is swung in a horizontal circle, making one revolution in 1.2 s. (a) Find the speed of the mass. (b) What is its centripetal acceleration? (c) What is the force that the string exerts on it?
  • 20. Sample Problem 2 Given: mass = 0.1 kg lengthstring = 0.9 m no. of rev = 1 time = 1.2 s Find: a. v b. ac c. Fc