Motion of a Pendulum IB 10

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Ankit Shahi                                                                                                          February 5 2009        

                                Motion of a Pendulum

Design (D)

Aspect 1:

Problem: How does length affect the period of a pendulum and what mathematical relationship is there between length and the period?

Variables:  

  • Manipulated : length
  • Responding : frequency
  • Controlled: string, room temp., angle that the pendulum is released and weight during examining the effects of length.

All these controlled variables were controlled by keeping the same bob and the same string. room temp. was also kept constant.

Aspect 3:

Materials: As per lab manual

Procedure: As per lab manual

Data Collecting and Processing (DCP):

Aspect 1:

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Aspect 2:

1. Calculating the period average:

e10avg = (19.400 + 0.005s) + (19.020 + 0.005s) / 2

= 38.42 + 0.01s / 2

= 19.21

Error = ((0.005/19.4) + (0.005/19.02))*19.21

2. Calculating time for one period:

T1 = (19.210 + 0.005s) / 10 = 1.9210

eT1 = (0.005 / 19.210) (1.9210) = 0.0005

3. Calculating frequency

f = 1 / T

f = 1 / (1.9210 + 0.0005s) = 0.520562Hz

ef = (0.0005 / 1.9210) (0.52056) = 0.0001

4. Calculating the period (T2)

T2 = (1.9210 + 0.0005s) 2 = 3.690241s2

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