Type of paper: Essay

Topic: Motion, Pendulum, Length, Displacement, Value, Independent, Difference, Equation

Pages: 1

Words: 275

Published: 2020/12/09

L = Lo - Li
If a small angle is assumed, the period and the frequency of the pendulum become independent of the amplitude of the initial angular displacement. Every simple pendulum should possess the same period despite their initial angle as well as their masses. A simple pendulum’s period is independent on the initial angular displacement or the mass, however, it is dependent on the string’s length, L as well as the gravitational field strength’s value g. A simple pendulum’s motion can be compared to that of a simple harmonic motion so that we can have the equation for the angular displacement which is

This motion is similar to the same form as that of a motion of a mass in a spring.

This can also be compared to motion of a mass in a spring.
A pendulum’s frequency is given by
But since Period T=1f it then becomes

Therefore, the length, L will be

L = gT²/4∏²
The difference between the two lengths, L, will be Lo - Li on the first method and gT²/4∏²on the second method. To obtain a graph, we will plot period against the length since they are the variables for the formula then using the power law y = Ax the equation of the pendulums period will be obtained by substitution of the Period T with Y and x with L
The experimental value of the slope is expected to be between 0.505 and 0.513
Using an example where the period is 0.6383 and the length is 0.10 m
Using the second formula L= gT²/4∏²
= 9.8(0.6383) ²/4∏²
= 3.992/39.4784
= 0.1011 M
The difference in the values is thus 0.1011- 0.10 = 0.0011 m

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WePapers. (2020, December, 09) Simple Pendulum Essay Example. Retrieved March 01, 2024, from https://www.wepapers.com/samples/simple-pendulum-essay-example/
"Simple Pendulum Essay Example." WePapers, 09 Dec. 2020, https://www.wepapers.com/samples/simple-pendulum-essay-example/. Accessed 01 March 2024.
WePapers. 2020. Simple Pendulum Essay Example., viewed March 01 2024, <https://www.wepapers.com/samples/simple-pendulum-essay-example/>
WePapers. Simple Pendulum Essay Example. [Internet]. December 2020. [Accessed March 01, 2024]. Available from: https://www.wepapers.com/samples/simple-pendulum-essay-example/
"Simple Pendulum Essay Example." WePapers, Dec 09, 2020. Accessed March 01, 2024. https://www.wepapers.com/samples/simple-pendulum-essay-example/
WePapers. 2020. "Simple Pendulum Essay Example." Free Essay Examples - WePapers.com. Retrieved March 01, 2024. (https://www.wepapers.com/samples/simple-pendulum-essay-example/).
"Simple Pendulum Essay Example," Free Essay Examples - WePapers.com, 09-Dec-2020. [Online]. Available: https://www.wepapers.com/samples/simple-pendulum-essay-example/. [Accessed: 01-Mar-2024].
Simple Pendulum Essay Example. Free Essay Examples - WePapers.com. https://www.wepapers.com/samples/simple-pendulum-essay-example/. Published Dec 09, 2020. Accessed March 01, 2024.
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