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Development of a computer-based simple pendulum experiment set for teaching and learning physics


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Figure 1:

A simple pendulum swinging back and forth about the pivot P. If the angle θ is small about 10° or less, the swinging is approximately simple harmonic motion.
A simple pendulum swinging back and forth about the pivot P. If the angle θ is small about 10° or less, the swinging is approximately simple harmonic motion.

Figure 2:

The structure of the experimental set; (a) experimental set, and (b) fix swing angle.
The structure of the experimental set; (a) experimental set, and (b) fix swing angle.

Figure 3:

Infrared phototransistor circuit.
Infrared phototransistor circuit.

Figure 4:

(a) Infrared LEDs circuit, (b) infrared LEDs board.
(a) Infrared LEDs circuit, (b) infrared LEDs board.

Figure 5:

(a) Phototransistor receiver circuit, (b) phototransistor receiver board.
(a) Phototransistor receiver circuit, (b) phototransistor receiver board.

Figure 6:

The computer-based experiment set on a simple pendulum.
The computer-based experiment set on a simple pendulum.

Figure 7:

Arduino codes used for data collection.
Arduino codes used for data collection.

Figure 8:

Relationships of length and period squared for the angles (a) 7°, (b) 10°, (c) 15°, (d) 20°, (e) 25°.
Relationships of length and period squared for the angles (a) 7°, (b) 10°, (c) 15°, (d) 20°, (e) 25°.

Squared period form experimental data.

7 degree10 degree15 degree20 degree25 degree
Length (m)T (s)T2(s2)T (s)T2 (s2)T (s)T2 (s2)T (s)T2 (s2)T (s)T2(s2)
0.200.8940.8000.9030.8150.9010.8110.8950.8010.9130.834
0.251.0031.0061.0141.0291.0141.0291.0171.0341.0311.063
0.301.0841.1741.1101.2331.1081.2281.0961.2021.1161.245
0.351.1801.3921.1841.4021.1881.4111.1911.4191.2081.459
0.401.2571.5811.2501.5611.2631.5961.2741.6221.2901.664
0.451.3401.7961.3311.7721.3541.8341.3671.8701.3801.904
0.501.4352.0591.4242.0291.4422.0811.4162.0041.4382.068
0.551.4702.1591.4832.2001.4992.2461.5112.2821.5302.341
0.601.5602.4331.5612.4361.5502.4581.5642.4471.5802.496
0.651.6192.6201.6102.5911.6272.6601.6382.6821.6402.690
0.701.6782.8151.6762.8081.6982.8851.6732.7991.6922.861
0.751.7513.0651.7333.0021.7323.0271.7513.0651.7533.074
0.801.7833.1781.8033.2511.7783.2051.7943.2181.8123.284

Values of gravitational acceleration (g).

The angular displacement (θ0)Gravitational acceleration (m/s2)Error (%)
7o9.7730.087
10o9.8020.205
15o9.8020.210
20o9.8380.573
25o9.8170.365
Average9.806 ± 0.0250.253
eISSN:
1178-5608
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Engineering, Introductions and Overviews, other