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~Pendulum~

 Bil   Name                         Matrics No.
 1.    Nik Ikhwan Bin Nik Li        D20101037491
 2.    Muhammad Yunus Bin Hamid     D20101037440
 3.    Muhammad Riyadh Bin Roslan   D20101037482
~Engage~


Does length of string affect the period of
               oscillation?
•Pendulum is a hypothetical pendulum suspended by a weightless frictionless thread
of constant length.

•The pendulum’s period is tested by using different length of string.

•Which length of string that slower and faster the period of the pendulum’s
oscillation?
What other         What can you get
      application that   from observing
      similar to         the experiment?
      pendulum?



                             What is the graph
How to avoid                 shape?
damping?
~EMPOWER~


DATA FINDINGS
PROCEDURE
1. The apparatus was set up as shown in figure 1.
2. The length of the string that attach to the
   constant mass was set as 20 cm length.
3. The pendulum is displaced so that it performed
   oscillation of simple harmonic motion.
4. The data were recorded automatically by using
   motion detector.
5. Stop the experiment after the pendulum has make
   20 oscillations.
6. The period T for the 20 oscillations were
   determined.
7. The experiment was repeated by substituted the
   length of the string by using 10 cm length
Figure 1
Data Studio Software
Pendulum and sensor
• Result
       Graph of Angular Positon (°) Againts Time (s) For
         String Length 20 cm
• Result


       Graph of Angular Positon (°) Againts Time (s) For
         String Length 10 cm
Data analysis

From the graph obtained, we can conclude the data
as table below
            Length      Time taken Period, T
            of String   to
            (l)         complete
                        20
                        0scilations
            20 cm       19.23 s    0.96 s
            10 cm       15.89 s    0.79 s
Data analysis

  Gravity calculation
                        Equation 1




                        Equation 2
Data analysis
   Gravity calculation




       By substitute the data into the equation
Data analysis
   Gravity calculation

     From the experiment, the gravitational value
        obtained was ,




     The theoretical value for the gravitational
       acceleration is
Data analysis
    Gravity calculation
   Formula for "   Percentage Error":


   (The "|" symbols mean absolute value, so negatives become positive)
Discussion
  • From the experiment, we use data logger as the medium to detect
    the time and the angular positions of the pendulum
  • From the graph, the time to complete 20 oscillations can be
    determine. The period calculated using time to complete 20
    oscillations divided by 20.
  • The time taken 20 oscilation for 20 cm l string was 19.23 s and the
    time taken for 10 cm string was 15.89 s. from the formula below




    The time taken for oscillation, T is directly proportional to the string
    length, l. Therefore, the longer the l, the longer the T.
• By using the formula:




The acceleration of gravity is calculated was
• The percentage error calculated in this
  experiment is
• This indicated that there were some errors that
  occurred during the experiment process. There
  errors could be:
  1) Air resistance (solution: do the experiment
  at the vacuum condition)
  2) Human error (solution: measured the length
  of l precisely and carefully)
Conclusion
• From the experiment, the value of gravitational
  acceleration obtained is           is         percentage
  error compare to the theoretical value which is
• The longer the length of string, the longer the period for
  oscillation taken.
• The data login application used was Data Studio which
  the data reading taking automatically by the computer.
~Enhance~


APPLICATION OF PENDULUM.
Case


Firefighters had to rescue a boy aged 10 that
carried by the water flow to other side of river.
Which rope should be used by the firefighters to
get to the other side in the short time??
Which Rope should the Fireman Use??




    5 meter                      7 meter


Why??

Explain?
 In this experiment that shown by the graph, the
  longer the string, it will take longer time to stop.

 This item swing longer if we can increase the length
  of string.

 We can save our energy to and can just look it swing
  in our office.

 Increase the length will make this decorative item will
  make it swing for a longer period.
• The baby will move their body during they sleep. So this
  cradle will swing because it follows principle of pendulum.

• Swinging may make disturb the baby and make them wake up
  and cry

• Based on the experiment we know that, when we release the
  ball, the shorter string will make a shorter time to complete
  one oscillation

• We know that picture A have long string and near to the
  ground compare to picture B which is have shorter string.

• The cradle A will swing slowly compare to cradle B that may
  swing from side to side more faster which can disturb your
  baby when sleep.

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Pendulum~

  • 1. ~Pendulum~ Bil Name Matrics No. 1. Nik Ikhwan Bin Nik Li D20101037491 2. Muhammad Yunus Bin Hamid D20101037440 3. Muhammad Riyadh Bin Roslan D20101037482
  • 2. ~Engage~ Does length of string affect the period of oscillation?
  • 3. •Pendulum is a hypothetical pendulum suspended by a weightless frictionless thread of constant length. •The pendulum’s period is tested by using different length of string. •Which length of string that slower and faster the period of the pendulum’s oscillation?
  • 4. What other What can you get application that from observing similar to the experiment? pendulum? What is the graph How to avoid shape? damping?
  • 6. PROCEDURE 1. The apparatus was set up as shown in figure 1. 2. The length of the string that attach to the constant mass was set as 20 cm length. 3. The pendulum is displaced so that it performed oscillation of simple harmonic motion. 4. The data were recorded automatically by using motion detector. 5. Stop the experiment after the pendulum has make 20 oscillations. 6. The period T for the 20 oscillations were determined. 7. The experiment was repeated by substituted the length of the string by using 10 cm length
  • 10. • Result Graph of Angular Positon (°) Againts Time (s) For String Length 20 cm
  • 11. • Result Graph of Angular Positon (°) Againts Time (s) For String Length 10 cm
  • 12. Data analysis From the graph obtained, we can conclude the data as table below Length Time taken Period, T of String to (l) complete 20 0scilations 20 cm 19.23 s 0.96 s 10 cm 15.89 s 0.79 s
  • 13. Data analysis Gravity calculation Equation 1 Equation 2
  • 14. Data analysis Gravity calculation By substitute the data into the equation
  • 15. Data analysis Gravity calculation From the experiment, the gravitational value obtained was , The theoretical value for the gravitational acceleration is
  • 16. Data analysis Gravity calculation Formula for " Percentage Error": (The "|" symbols mean absolute value, so negatives become positive)
  • 17. Discussion • From the experiment, we use data logger as the medium to detect the time and the angular positions of the pendulum • From the graph, the time to complete 20 oscillations can be determine. The period calculated using time to complete 20 oscillations divided by 20. • The time taken 20 oscilation for 20 cm l string was 19.23 s and the time taken for 10 cm string was 15.89 s. from the formula below The time taken for oscillation, T is directly proportional to the string length, l. Therefore, the longer the l, the longer the T.
  • 18. • By using the formula: The acceleration of gravity is calculated was • The percentage error calculated in this experiment is • This indicated that there were some errors that occurred during the experiment process. There errors could be: 1) Air resistance (solution: do the experiment at the vacuum condition) 2) Human error (solution: measured the length of l precisely and carefully)
  • 19. Conclusion • From the experiment, the value of gravitational acceleration obtained is is percentage error compare to the theoretical value which is • The longer the length of string, the longer the period for oscillation taken. • The data login application used was Data Studio which the data reading taking automatically by the computer.
  • 21. Case Firefighters had to rescue a boy aged 10 that carried by the water flow to other side of river. Which rope should be used by the firefighters to get to the other side in the short time??
  • 22. Which Rope should the Fireman Use?? 5 meter 7 meter Why?? Explain?
  • 23.
  • 24.  In this experiment that shown by the graph, the longer the string, it will take longer time to stop.  This item swing longer if we can increase the length of string.  We can save our energy to and can just look it swing in our office.  Increase the length will make this decorative item will make it swing for a longer period.
  • 25.
  • 26. • The baby will move their body during they sleep. So this cradle will swing because it follows principle of pendulum. • Swinging may make disturb the baby and make them wake up and cry • Based on the experiment we know that, when we release the ball, the shorter string will make a shorter time to complete one oscillation • We know that picture A have long string and near to the ground compare to picture B which is have shorter string. • The cradle A will swing slowly compare to cradle B that may swing from side to side more faster which can disturb your baby when sleep.