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Determine the angular frequency, frequency, and period of a simple pendulum in terms of the length of the pendulum and the acceleration due to gravity. Define the period for a physical pendulum. Define the period for a torsional pendulum. Pendulums are in common usage.
- 16.4: The Simple Pendulum
Play with one or two pendulums and discover how the period...
- 16.4: The Simple Pendulum
Determine the angular frequency, frequency, and period of a simple pendulum in terms of the length of the pendulum and the acceleration due to gravity; Define the period for a physical pendulum; Define the period for a torsional pendulum
Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing. It’s easy to measure the period using the photogate timer.
The period of a simple pendulum for small amplitudes θ is dependent only on the pendulum length and gravity. For the physical pendulum with distributed mass, the distance from the point of support to the center of mass is the determining "length" and the period is affected by the distribution of mass as expressed in the moment of inertia I .
Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing. It’s easy to measure the period using the photogate timer. You can vary friction and the strength of gravity.
29 maj 2024 · Understanding its period – the time it takes to complete one full swing – is crucial for various applications, from clockmaking to seismology. This article delves into the factors affecting a pendulum’s period, primarily its length and the acceleration due to gravity.
27 maj 2024 · Period of a Pendulum. The period of a pendulum is the time it takes to complete one full oscillation. Remarkably, the period of a simple pendulum is independent of its mass and depends only on the length of the string and the acceleration due to gravity. The formula for the period \( T \) is given by: \[ T = 2\pi \sqrt{\frac{l}{g}} \]
