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
Because a larger angle will exacerbate the dampening effect. The dampening effect is an effect that tends to reduce the amplitude of any oscillations. http://en.wikipedia.org/wiki/Damping
Small: This is to ensure that the motion of the pendulum mostly stays along one direction, i.e. it is swinging back and forth as opposed to rotating or moving erratically. Only when the pendulum is moving in this manner can you say that it follows SHM - Simple Harmonic Motion (If that is the aim of the experiment)
In the case of sound, amplitude is related to volume or loudness.- loud sounds generate waves of larger amplitude and your ear would register sound waves of large amplitude as louder.
amplitude :)
If the pendulum was pushed with a large force or if it was heavier. It might swing faster.
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.
Because a larger angle will exacerbate the dampening effect. The dampening effect is an effect that tends to reduce the amplitude of any oscillations. http://en.wikipedia.org/wiki/Damping
Small: This is to ensure that the motion of the pendulum mostly stays along one direction, i.e. it is swinging back and forth as opposed to rotating or moving erratically. Only when the pendulum is moving in this manner can you say that it follows SHM - Simple Harmonic Motion (If that is the aim of the experiment)
Assuming an idealised pendulum with a small amplitude, both are examples of simple harmonic motion. That is, the second derivative of the curve is directly proportional to its displacement but in the opposite direction. If the amplitude (swing) of the pendulum is large or if the majority of its mass is not oi the "blob" the relationship is only approximate.
i think small amplitude is best because small amplitude gives perfect time period as well as to obey SHM.
The simple pendulum model does not take into account some factors that affect actual pendulums. It is a close approximation in many cases. The formulas are much simpler than the formulas for the actual motion of the pendulum. That's why it's called simple. But if the 'swinging angle' is too large the simpler formulas are no longer accurate. Also if the rod, which the pendulum is suspended on, has too large a mass in relation to the pendulum weight, then the simple formulas won't work.
A simple pendulum, ideally consists of a large mass suspended from a fixed point by an inelastic light string. These ensure that the length of the pendulum from the point of suspension to its centre of mass is constant. If the pendulum is given a small initial displacement, it undergoes simple harmonic motion (SHM). Such motion is periodic, that is, the time period for oscillations are the same.
It has a large amplitude if the compressions of the wave are dense.
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
In the case of sound, amplitude is related to volume or loudness.- loud sounds generate waves of larger amplitude and your ear would register sound waves of large amplitude as louder.
Bigger the amplitude, bigger the wave.
amplitude at resonance is large[maximum] but finite