Simple Pendulum Lab Instructions

You are to investigate the effects that bob mass and the length of a pendulum have on its period. This is to be done at various release angles and the effect the release angle has on the pendulum’s period must be modelled.

The differential equation for the motion of the pendulum must be derived and the constants measured. For small values of theta, the DE can be simplified using the small angle equation. You must, however, be prepared to defend what range you consider a small angle and how this estimation affects the overall precision of your work. You are also expected to empirically model the effects of large values of theta on the period. Thus your final expression will be something like Period(theta, Length) = Ideal Period(length) + Period Perturbation (theta, length). CAUTION: Observe that the square root of small g is essentially equal to Pi. Do not ignore this!


You are also expected to let your pendulum swing for an extended period to determine the damping coefficient involved. You should predict what value for this coefficient is expected due in part to air resistance and compare it to what is measured.

Pendulum should be set in a V to ensure motion in only two dimensions. Any equipment in the school inventory not in current use by a teacher or the typical items found in a student’s pencil case. Data collection must occur within the school proper using the aforementioned equipment unless special permission has been granted by the instructor.


-- G-raph Out --