Understanding the Impact of Pendulum String Length on Oscillation Time

In summary, the length of the string attached to a pendulum affects the time it takes for one oscillation due to various factors. One possible explanation is the use of a formula for the period of a pendulum, while another involves solving a linear differential equation. Additionally, properties of a non-linear differential equation can also be used to model the pendulum. In an experiment, a bob attached to a string with lengths ranging from 30 to 100cm in 10cm intervals was pulled back roughly 6cm and let go. The time for 10 oscillations was measured and plotted on a graph, showing a curve. The question remains, why is the time for one oscillation shorter when the string is shorter, compared to when
  • #1
warriorofrovac
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0
why does the length of string attached to a pendulum affect the time it takes for one oscillation
 
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  • #2
This is a homework problem? Then show us what you have done on it and what you DO know about the situation. One reason for that (in addition to the fact that the more you do the better) is that it helps us know what kind of help you need and what would make sense to you. I know several ways of answering this question. One involves using a simple formula for the period of a pendulum that you may or may not know. Another involves solving a linear differential equation, that approximates the motion of pendulum, to derive that formula. Still a third involves using properties of a very difficult (and not solvable exactly) non-linear differential equation that exactly models the pendulum. I have no way of knowing if any of those are appropriate here.
 
  • #3
a bob attachted to a piece of string
The length of the strings range from 30 to 100cm in 10cm intervals
the bob is pulled back roughly 6cm and let go
I time how long it takes for the bob to complete 10 oscillations and plot the results for all the lengths of the string, i get a graph which curves.

what i want to know is..why is the time less for one oscillation when the length of the string is shorter, against the time for when the length of the string is longer?
 

1. What is a simple gravity pendulum?

A simple gravity pendulum is a basic mechanical system that consists of a weight (or "bob") suspended from a fixed point by a string or rod. This system is used to demonstrate the effects of gravity on a swinging object.

2. How does a simple gravity pendulum work?

The pendulum works by converting potential energy into kinetic energy as it swings back and forth. The weight at the bottom of the pendulum is pulled by gravity towards the center of the Earth, causing it to swing back and forth in a regular pattern.

3. What factors affect the period of a simple gravity pendulum?

The period, or the time it takes for the pendulum to complete one swing, is affected by the length of the string, the angle at which the pendulum is released, and the strength of gravity. The period is longer for longer strings, smaller angles, and weaker gravity.

4. How is a simple gravity pendulum different from a compound pendulum?

A simple gravity pendulum has a single point of suspension and a single weight, while a compound pendulum has multiple points of suspension and multiple weights. The motion of a simple pendulum is more predictable, while a compound pendulum can have more complex motion.

5. What are some real-world applications of the simple gravity pendulum?

The simple gravity pendulum has been used for timekeeping, such as in old grandfather clocks. It is also used in seismology to measure the movement of the Earth's surface during earthquakes. Additionally, it is used in physics experiments to demonstrate principles of motion and gravity.

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