# Student Friendly Kater Pendulum System

Consists of the Kater Pendulum and the TEL-ET41 timing system. Supply two lab stands and you will have everything you need to measure ** g**.

TEL-RP6010SYS | $584.00 |
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## Kater Precision Pendulum

- Measure
to a few parts per thousand in less than ten minutes.*g* - Measure
to a few parts in ten thousand in one lab period.*g* - 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

**(to within a few parts in ten thousand) can be performed in a single lab period.**

*g*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 T_{1} and T_{2} 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 T_{1} and T_{2} as a function of slider position, the position for which T_{1} = T_{2} = 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

TEL-RP6010 | $109.00 |
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## TEL-ET41 Timing System

The TEL-ET41 measures the period of the Precision Kater Pendulum with a resolution of .0001s using a 40kHz ± 0.02% quartz crystal. The TEL-ET41 is line powered, so there are no batteries to go dead or AC adapters to loose track of. The TEL-ET41 includes a photogate which can be easily mounted on a lab stand, as shown in figure 1 above. The ET-40 can also be used with our air tracks to measure the speed of a cart.

TEL-ET41 | $475.00 |
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