Table 1: Pendulum data

Mass (g)	Amplitude (deg)	Length (cm)	10 cycles (s)	Period (s)
5	30	28	11.98 11.20 11.53	1.198 1.120 1.153
7	30	28	11.84 12.00 11.80	1.184 1.200 1.180
9	30	28	12.03 11.82 11.96	1.203 1.182 1.196
5	50	25	10.96 10.96 10.94	1.096 1.096 1.094
7	50	25	11.20 11.13 11.14	1.120 1.113 1.114
9	50	25	11.10 11.42 11.55	1.110 1.142 1.155
5	70	19	09.91 10.28 10.05	0.991 1.028 1.005
7	70	19	10.83 10.50 10.48	1.083 1.050 1.048
9	70	19	10.57 10.56 10.29	1.057 1.056 1.029
5	90	14	09.02 08.85 09.14	0.902 0.885 0.914
7	90	14	09.90 10.01 09.98	0.990 1.001 0.998
9	90	14	8.84 9.01 9.04	0.884 0.901 0.904

Calculations for frequency and period:f=1/T

Using the equationT=2Lg compare your period that you measured to the calculated period.

Analysis Questions :

1. Describe how you determined the period for one full cycle of the pendulum.

1. How does the period of the pendulum depend on length, mass, and amplitude? Support your answers using the data.

1. Propose a design for a pendulum that has a period of 2.0seconds.

1. How did you choose the number of trials for each variable?

Applying new knowledge The data in this table lists the observed position of an object at random times during 22 seconds of motion. Plot the data on the graph provided below. Do you see the pattern? Sketch any pattern you see. Estimate the maximum position this object reaches. ____________ Estimate the minimum position the object reaches. _____________ When will the object reach its minimum position next?__________ When will the object reach its maximum position next? ___________________________ What is the amplitude of the motion? __________________________________________ What is the period of the motion? _____________________________________________ What is the frequency of the motion? __________________________________________