Want this question answered?
A pendulum can swing through any angle you want. But because of the mathematical approximations you make when you analyze the motion of the pendulum, your predictions are only accurate for a pendulum with a small arc.
The length ,mass and angle :)
The time it takes for a pendulum to make one swing is almost exactly the same regardless if it swings thru any small angle. Once the angle starts getting large, like more then 10 deg, the difference in swing time becomes noticable. If you use a pendulum as a clock,so each second is one swing, then if you start the pendulum swinging at about 10 deg it will continue to be one second per swing even as it runs down to a smaller swing angle.
Not significantly, unless you start with the pendulum over about 15 degrees or so from the vertical. At large angles the period of the pendulum would increase somewhat, as the restoring force no longer increases linearly with displacement. You will note that clock pendulums generally swing through quite a small angle.
The period of a pendulum is affected by the angle created by the swing of the pendulum, the length of the attachment to the mass, and the weight of the mass on the end of the pendulum.
The period of the pendulum is unchanged by the angle of swing. See link.
This is done in order to get unbalanced force act on the pendulum. A torque will act due to gravitation of the earth and the tension in the string as they then act at different points and opposite direction on the pendulum. Have the forces act at the same point, the formation of torque would have been ruled out and the pendulum would not swing.
A heavier pendulum will swing longer due to its greater inertia.
rotation of earth
how is pendulum swing related to teaching process?
The time period of a simple pendulum is calculated using the following conditions: Length of the pendulum: The longer the length of the pendulum, the longer it takes for one complete back-and-forth swing. Acceleration due to gravity: The time period is inversely proportional to the square root of the acceleration due to gravity. Higher gravity results in a shorter time period. Angle of displacement: The time period is slightly affected by the initial angle of displacement, but this effect becomes negligible for small angles.
A simple pendulum.