The amplitude of a pendulum is the distance between its equilibrium point and the farthest point that it reaches during each oscillation.
The pendulum swings twice as far.
That if the original amplitude was A then it is now 2*A.
It messes up the math. For large amplitude swings, the simple relation that the period of a pendulum is directly proportional to the square root of the length of the pendulum (only, assuming constant gravity) no longer holds. Specifically, the period increases with increasing amplitude.
Air resistance against the bob and string and friction in the pivot make the amplitude of a simple pendulum decrease.
it doesn't
The pendulum swings twice as far.
That if the original amplitude was A then it is now 2*A.
It messes up the math. For large amplitude swings, the simple relation that the period of a pendulum is directly proportional to the square root of the length of the pendulum (only, assuming constant gravity) no longer holds. Specifically, the period increases with increasing amplitude.
Air resistance against the bob and string and friction in the pivot make the amplitude of a simple pendulum decrease.
it doesn't
it doesnt affect the amplitude as the mass and length remain constant
The change of amplitude affects the time of one cycle of a pendulum if the amplitude is big. In such a case, time increases as amplitude increases. In the case of a small amplitude, the time is very slightly affected by amplitude and is considered negligible.
Actually, the period of a pendulum does depend slightly on the amplitude. But at low amplitudes, it almost doesn't depend on the amplitude at all. This is related to the fact that in such a case, the restoring force - the force that pulls the pendulum back to its center position - is proportional to the displacement. That is, if the pendulum moves away further, the restoring force will also be greater.
The PERIOD of a Simple Pendulum is affected by its LENGTH, and NOT by its Mass or the amplitude of its swing. So, in your case, the Period of the Pendulum's swing would remain UNCHANGED!
no it doesnt affect the period of pendulum. the formulea that we know for simple pendulum is T = 2pie root (L/g)
we should keep the amplitude of simple pendulum small because we have to make a very small angle so that we can neglecting value of sin
In an ideal pendulum, the only factors that affect the period of a pendulum are its length and the acceleration due to gravity. The latter, although often taken to be constant, can vary by as much as 5% between sites. In a real pendulum, the amplitude will also have an effect; but if the amplitude is relatively small, this can safely be ignored.