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.
it doesn't
The period of a pendulum is (sort of) independent of the amplitude. This is technically true for very small, "infinitesimal" swings. In this range, amplitude does not affect period. For larger swings, however, a circular error is introduced, but it is possible to compensate with various designs. See the Related Link below for further information.
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 doesnt affect the amplitude as the mass and length remain constant
it doesn't
no it doesnt affect the period of pendulum. the formulea that we know for simple pendulum is T = 2pie root (L/g)
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.
The period of a pendulum is (sort of) independent of the amplitude. This is technically true for very small, "infinitesimal" swings. In this range, amplitude does not affect period. For larger swings, however, a circular error is introduced, but it is possible to compensate with various designs. See the Related Link below for further information.
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.
Air resistance against the bob and string and friction in the pivot make the amplitude of a simple pendulum decrease.
Air resistance, Gravity, Friction, The attachment of the pendulum to the support bar, Length of String, Initial Energy (if you just let it go it will go slower than if you swing it) and the Latitude. Amplitude only affects large swings (in small swing the amplitude is doesn't affect the swing time). Mass of the pendulum does not affect the swing time. A formula for predicting the swing of a pendulum: T=2(pi)SQRT(L/g) T = time pi = 3.14... SQRT = square root L = Length g = gravity
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.