Pendulums Connor, Parker, & Isaiah Part A Grandfather Clock Wrecking ball Metronome Examples Swing Diving board Bungee jumping Foucault pendulum Newton's cradle • Definition: A Pendulum and its Motion • A pendulum is an object attached via a string to a fixed point all of which is a part of a larger body with space for the object to freely oscillate between 2 linear directions. • Motion: • When the pendulum is shifted to an initial angle and released, it will oscillate back and forth in a regular periodic motion, eventually slowing due to loss of kinetic energy due to friction – to a stop Part B • Motion: • Oscillates on a linear plane Preliminary Findings • Can move perpendicular to the plane of oscillation • The fixed bar must not alter otherwise the motion of the pendulum will deviate off its linear plane of motion Dependent • The period of the motion • Time for one oscillation Variables Independent • Length of pendulum arm Control • The mass • Release position Preliminary Experimentation • The longer pendulum arm seemed to oscillate slower than the short pendulum arm Part C Hypothesis • A greater pendulum arm length will result in a longer period for one oscillation • Independent Variable • The length of the pendulum arm • Dependent Variable • The period of the motion Procedure Procedure Attached a hooked metal pendulum to stand Set distances using stand clamps Set release angle using a string as a guide Held pendulum at maximum length of string Released pendulum normal to the stand Upon release, the timer started and timed 10 oscillations Repeated 3 times for each of the two arm lengths Averaged the times and displayed results on chart Part D • Length of Pendulum arms • 19 cm • 12.8 cm • Period for 19 cm pendulum arm Experimental Data • 8.89 s • 8.55 s • 8.87 s • Average: 8.77 +- 0.01 s • Period for 12.8 cm pendulum arm • 7.09 s • 7.04 s • 6.98 s • Average: 7.04 +- 0.01 s Final data • Average 10 oscillation • 19 cm arm • 8.77 s +- 0.01s • 12.8 cm arm • 7.04 s +- 0.01 s • Average 1 oscillation • 19 cm arm • 0.877 s +-0.001 • 12.8 cm arm • 0.704 s +- 0.001 Part E • A greater pendulum arm length will result in a longer period for one oscillation Conclusion • Upon gathering the data, we can definitively say that the hypothesis was correct. • Ways of improvement • Fix the fixed point of the pendulum arm as it did deviate from its linear plane of motion • Add an additional pendulum arm length