Factors affacting time period of pendulum

AI Thread Summary
A simple pendulum executes simple harmonic motion primarily under small amplitudes of oscillation. The time period of the pendulum is influenced by the length of the string and the gravitational acceleration, as described by the formula T=2π√(l/g). Factors such as air resistance and variations in gravitational intensity can also affect the time period, although these are often neglected in ideal conditions. The discussion emphasizes that maintaining a constant gravitational field and minimizing air friction are crucial for accurate harmonic motion. Understanding these factors is essential for analyzing the behavior of pendulums in various environments.
shahrukh
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Hello everyone

Can anybody could please help me in the pendulums?
i just wanted to know how a simple pendulum executes simple harmonic motion and what are the factors that could affect the time period of a simple pendulum
 
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A simple/mathematical pendulum executes simple harmonic motion only for small amplitudes of oscillation.It's the most important requirement.Others would address constant gravitational field and lack of air friction (u can assume vacuum).In this case,Newton's second law would prove the harmonic character of the movement.

The period of harmonic oscilations is

T=2\pi\sqrt{\frac{l}{g}} and u can see that it depends upon the gravitational intensity "g" and the length of the string between the point of suspension & oscillating body.

Daniel.
 
Thanks dextercioby for the help but what about the factors that could affect the time period of a simple pendulum?
 
He just answered that. Changing the length of the string, or changing the gravitational force would both impact period.
 

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