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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.
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.
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.
  • 4.
  • 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.
  • 8.
  • 9.
  • 10.
  • 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