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# Copy of Pendulum Periods

Lab 14
by

## Caroline Settle

on 23 February 2013

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#### Transcript of Copy of Pendulum Periods

Pendulum Periods Lab 14 Conclusion Measure the period of a pendulum as a function of amplitude Testing the Mass OBJECTIVES Measure the period of a pendulum as a function of bob mass (cc) image by nuonsolarteam on Flickr Measure the period of a pendulum as a function of length (cc) photo by theaucitron on Flickr (cc) photo by theaucitron on Flickr The mass of the pendulum bob To Things Know 1. The amplitude of
the pendulum swing 2. The length of the pendulum,
measured from the center of
the pendulum bob to the
point of support Three things can effect a pendulum's period. A period is the time for one complete cycle of the pendulum Testing the Amplitude Testing the length Amplitude (degrees) Average Period (s)
10 1.660
15 1.664
20 1.670
25 1.673
30 1.685 Length (cm) Average Period (s)
69.215 1.670
64.777 1.635
61.595 1.584
57.785 1.528
50.800 1.445
47.625 1.357 Samantha
Ritter Rachel Rattay Nick Mulvay Gregory Suehr (cc) photo by theaucitron on Flickr Our Group Procedure To determine how the period depends on amplitude, measure the period for five different amplitudes.

Use a range of amplitudes, up to 30.

Each time, measure the amplitude with a protractor, so the mass is released at a known angle in a straight line. o Procedure Test the effect of length on the period of a pendulum by
measuring 6 different lengths of string.

Use a 200 gram mass and release the mass at a 20 angle
in a straight line for each trial.

Use increments of 10cm from 1.0m to .50m (we went from
27.25in to 18.75in in various increments) Mass (g) Averarage period (s)
50 1.658
100 1.666
200 1.677 Procedure Test the effect of mass on the period of a pendulum by
changing the period of the swing with 3 different masses.

Use masses of 100 grams, 200 grams, and 300 grams (We
used 50 grams, 100 grams, and 200 grams)

Make sure to use the same length of string for each
measurement and release the mass at a 20 angle. o o o o o o o 1. Why is LoggerPro set up to report the time between every other blocking
of the Photogate? Why not the time between every block?

Because the period is a measure of the time between two things happening,
like the time the mass takes to get from the center of it's swing to a peak
and back. 2. Does the period of a swing depend
on it's amplitude (angle)?

Yes, larger the angle a pendulum is
released at, the longer the period of it's
swing will become. 3. Does the period of the swing seem
to depend on the length of the string?

Yes, it appears that the longer the length
of the string was, the longer it took for
the pendulum to complete a full swing. 4. Does the period depend on the mass? Is
there enough data to answer conclusively?

It appears that larger masses lengthen the
period of the pendulum's swing, but it
would be easier to answer with more
data on the matter. 5. Create the graphs of Tvs.L, T^2vs.L, and Tvs.L^2. Which one is closest to a direct proportion (going straight through the origin)?

The graph of T^2vs.L passes closest to the
origin.
6. Newton's Laws show that, for some pendulums,
T relates to L and g by the equation:
T^2=[(4*pi^2)/g]*L
Do any of your graphs support this relationship?

Yes, (4*pi^2)/g=4.0257 which is very similar to
the slope of the graph of T^2vs.L.
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