Francisco Carvajal Mr. Kasunic
May 25, 2011
Lab Report
THE PENDULUM
Predictions
i. It would be lower, frequency remains constant.
ii. The swings would move slower, frequency decreases.
iii. It would move faster, frequency increases and there would be more swings.
Results Table
Length (cm) | Mass (g) | Amplitude(°) | Time for 20 cycles(s) | Frequency(Hz) |
100cm | 200g | 10 ° | 42s | 0.5 Hz |
100cm | 200g | 20 ° | 40s | 0.5 Hz |
100cm | 200g | 30 ° | 40s | 0.5 Hz |
100cm | 50.0g | 10 ° | 40s | 0.5 Hz |
100cm | 50.0g | 20 ° | 40s | 0.5 Hz |
100cm | 50.0g | 30 ° | 40s | 0.5 Hz |
100cm | 100g | 10 ° | 40s | 0.5 Hz |
80.0cm | 50.0g | 10 ° | 36s | 0.6 Hz |
60.0cm | 50.0g | 10 ° | 30s | 0.6 Hz |
40.0cm | 50.0g | 10 ° | 25s | 0.8 Hz |
20.0cm | 50.0g | 10 ° | 17s | 1.2 Hz |
Analysis (b)
(i)
Amplitude(°) | Frequency (Hz) |
10 | 0.5Hz |
20 | 0.5Hz |
30 | 0.5Hz |
(ii)
Mass(g) | Frequency(Hz) |
50g | 0.5Hz |
100g | 0.5Hz |
200g | 0.5Hz |
Length(cm) | Frequency(Hz) |
100cm | 0.50Hz |
80cm | 0.55Hz |
60cm | 0.66Hz |
40cm | 0.80Hz |
20cm | 1.2Hz |
(iii)
c) The frequency and the amplitude are related in such a way that, the greater the amplitude the greater the energy. The mass does not affect the frequency at all; basically the frequency does not depend on the mass, it depends only on the length because this involves gravitational acceleration.
Evaluation
No significant problems or difficulties were found when carrying out this investigation. The accuracy and reliability of the results and conclusions are very good. Within the accuracy of the method used, and for the range of values investigated, it is clear that the time for a complete swing of the pendulum is proportional to the square root of the length. Also not all the predictions that I made were right because doing the...