Replacing the steel ball with a wooden ball would slightly reduce the period, a lead ball would very slightly increase it and a ping pong ball would reduce the period substantially.
The period of the pendulum is proportional to the [square root of] the length of the pendulum from the pivot (hanging point) to the centre of the mass of the string and the bob. For a dense material like steel or, even more so, lead, the weight of the string is negligible and the centre of mass of the-string-and-bob will be at the centre of the bob so that the effective length of the pendulum would be from the pivot to the centre of the bob. With a ping pong ball, the mass of the string is no longer quite as insignificant and so the centre of mass of the-string-and-bob will be higher than the centre of the ball and so the effective length of the pendulum will be shorter.
multiply the length of the pendulum by 4, the period doubles. the period is proportional to the square of the pendulum length.
no it doesnt affect the period of pendulum. the formulea that we know for simple pendulum is T = 2pie root (L/g)
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!
At the center of the Earth there would be no effective gravity; a pendulum wouldn't work as a pendulum.
why it is not advisable to determine period of vibrating pendulum by recording the time for one vibration only
A simple pendulum with a length of 45m has a period of 13.46 seconds. If the string is weightless, then the mass of the bob has no effect on the period, i.e. it doesn't matter.
Normally the acceleration of gravity is not a factor in the period of a simple pendulum because it does not change on Earth, but if it were to be put on another celestial body the period would change. As gravity increases the period is shorter and as the gravity is less the period is longer.
Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.
The period increases as the square root of the length.
wind resistance cannot be ignored in considering a simple pendulum. The wind resistance will be proportional to a higher power of the velocity of the pendulum. A small arc of the pendulum will lessen this effect. You could demonstrate this effect for yourself. A piece of paper attached to the pendulum will add to the wind resistance, and you can measure the period both with and without the paper.
time period of simple pendulum is dirctly proportional to sqare root of length...
For a simple pendulum: Period = 6.3437 (rounded) seconds