Kater Precision Pendulum, Only
Kater Precision Pendulum, Only
TEL-RP6010
Kater Precision Pendulum
-Pendulum Rotating about axis '2'
-Measure g to a few parts per thousand in less than ten minutes.
-Measure g to a few parts in ten thousand in one lab period.
-Take data with a photogate or a stopwatch.
Finally a Kater Pendulum has been designed to allow a measurement of g to within a few parts per thousand in about 10 minutes. In addition, a very precise measurement of g (to within a few parts in ten thousand) can be performed in a single lab period.
The axes of rotation are by means of a “knife edge” which is inserted through one or the other of two holes; whose placement in the pendulum were carefully chosen. Although period measurements may be made with a stopwatch, a photogate is preferred to: (i) eliminate large reaction time errors, and (ii) insure that data is collected in an amplitude regime that is essentially isochronous.
TEL-RP6010
Kater Precision Pendulum
-Pendulum Rotating about axis '2'
-Measure g to a few parts per thousand in less than ten minutes.
-Measure g to a few parts in ten thousand in one lab period.
-Take data with a photogate or a stopwatch.
Finally a Kater Pendulum has been designed to allow a measurement of g to within a few parts per thousand in about 10 minutes. In addition, a very precise measurement of g (to within a few parts in ten thousand) can be performed in a single lab period.
The axes of rotation are by means of a “knife edge” which is inserted through one or the other of two holes; whose placement in the pendulum were carefully chosen. Although period measurements may be made with a stopwatch, a photogate is preferred to: (i) eliminate large reaction time errors, and (ii) insure that data is collected in an amplitude regime that is essentially isochronous.
A quick method operates with a single mass configuration of the pendulum. The period of swing about each axis is measured and g can be determined by using:
Although the errors of this “quick” method are about 5 times larger than those of the more precise method; the total time for data collection and analysis is correspondingly reduced.
The more precise method collects a different T1 and T2 for each of several positions of a small slider whose mass is approximately 2% of the mass of the pendulum. By performing a regression analysis on the graphs of T1 and T2 as a function of slider position, the position for which T1 = T2 = T can be determined and g calculated from:
Apparatus Includes:
-Precision cut and drilled brass rod
-clamp with knife-edge
-lab manual with all equations derived
-detailed instructions for performing the experiment