The Pendulum Investigation

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Lewis Wright        The Pendulum Investigation       25th July 2001   

Aim:

To calculate the periodic time for varying lengths of a pendulum.

Introduction:

I am planning to begin an investigation to measure the period of time for a pendulum of any weight as that doesn’t matter, to take one swing. The measurements will be made by hanging a pendulum or bob from a clamp using different measurements of string and seeing how much time is taken for one swig using a stop clock.

Fair Test:

I will make the experiment fair by using a piece of paper stuck on the clamp with the angle from which I will start my pendulum swinging making sure I and I alone will count the amount of swings. I will also make sure that I stand the same place as I count so I can see properly where one swing ends and the next one starts.

Equipment:

I have chosen my equipment carefully, I am going to use a clamp, a stand, a stool, a ball of string, some writing equipment, drawing equipment, a patractor, scissors and a pendulum with a hole in it.

Diagram Of Equipment:

Prediction:

I predict that when the length of the string increases the amount of time taken for the pendulum to do one swing will take more time. I am going to use this formula to get my predicted results. T=2πL/G (T=time taken for one swing, G=gradient L=length of string).  

Predicted Table:

Method:

Make sure there is a gap of two meters between the top of the stand and the floor put a stand on top of a table and attach a clamp, once this is finished place a cork with a slit in it into the clamp and then slide the first piece of string into the slit in the cork and then tie a pendulum to the other end. Once all of the equipment is set up you can carry out the investigation using pieces of string at these lengths; 1.2m, 1.3m, 1.4m, 1.5m, 1.6m 1.7m, 1.8m, 1.9m, 2.0m; when you’ve attached the piece of paper with the starting angle you can start the investigation, always release the pendulum from the same position at 15 or simple harmonic motion.

Background Knowledge:

Who made the first clock?

In the past there have been many timing devices apart from water clocks, candles and sundials. Clocks like we use today were being built in the 14th century. They had hour and minute hands, but they could not be used to make accurate measurements of very small time intervals. The first accurate timing device that could be used in this way was invented in 1581 by a medical student called Galileo. He discovered that a swinging pendulum always took the same amount of time to come back to its starting point no matter how far it swung. He first observed the moment of hanging lamps in the great cathedral in Pisa as they swung in the breeze. In a slight breeze they travelled slowly and only a small way. In a stronger breeze they travelled much faster and over a greater distance but they always took the same time to complete the swing, no matter how far or fast they moved.

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                   A simple pendulum consists of a piece of thread which is fixed at one end and has a small metal ball called the bob on the other end. The periodic time T of the pendulum is the time for one complete swing or oscillation. The length L of the pendulum is the distance from the point of support and the centre of gravity of the bob. The amplitude (angular) of a swing is the angle between the extreme and rest positions of the thread. Experiments show that if the amplitude does ...

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