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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# Copy of Pendulum Periods

Lab 14

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