• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6
7. 7
7
8. 8
8
9. 9
9
10. 10
10

# Investigating the period of a simple pendulum and measuring acceleration due to gravity.

Extracts from this document...

Introduction

INVESTIGATING THE PERIOD OF A SIMPLE PENDULUM AND MEASURING ACCELERATION DUE TO GRAVITY. THE AIM: 1. To investigate the factors affecting the period of a simple pendulum. 2. Measuring the acceleration due to gravity. THEORY: When the bob of a simple pendulum is displaced with a small angle (less than 1/6 of the length of the pendulum) and released, the pendulum oscillates with simple harmonic motion (SHM). When an object oscillates with constant time period even if the amplitude varies, we say it is moving with simple harmonic motion. For an object moving with simple harmonic motion: * The acceleration is always directed towards the equilibrium position at the centre of motion, * The acceleration is directly proportional to the distance from the equilibrium position. So Acceleration - Displacement. a - x a = ?�x ? is the angular speed and it is measured in radians. ? = 2? = 2?f. T The time period (T) is the time taken for a complete oscillation and is measured in seconds. A pendulum is a body suspended from a fixed point and it is free to swing in a vertically plane. A pendulum will oscillate with simple harmonic motion provided that the amplitude is small. ...read more.

Middle

If the string is not held securely then it might detach from the wooden block and since the string has the bob attached to it, it might hurt anyone nearby. When I carry out my experiment I will make sure that I follow all these safety precautions to provide a safe environment to work in. IMPLEMENTING: PROCEDURE: Before I started the experiment I made sure that I had drawn an appropriate table to record my results. I then made sure that I set my apparatus up properly like the one shown in the diagram in the method. While I was setting it up I made sure that the string was clamped tightly between the wooden blocks. If it was not tightly clamped then the length wouldn't be reliable. After setting up the apparatus I made sure that the length of the pendulum was 0.10m. I also made sure that I measured the length from the centre of the bob to the fixed point. I then moved the pendulum through a small angle and released it. I started the stop clock when I released the pendulum. I noted the time it took to complete 20 oscillations. I took 20 oscillations as the time taken to pass the mark on the table twenty times in the same direction. ...read more.

Conclusion

Typical values are: Displacement (m) Displacement angle (�) Time for 20 oscillation (s) Mean time (s) 0.05 2� 50' 40.40 2.02 0.10 5� 40' 40.40 2.02 0.16 9� 0' 40.40 2.02 0.21 12� 0' 40.40 2.02 0.25 14� 20' 40.40 2.02 0.30 17� 20' 40.40 2.02 0.40 23� 20' 40.40 2.02 This shows that the period of a simple pendulum is independent of the angle of the swing (for small angles). If there had been more time then I could carried out an experiment with different displacement angles and found the time period. * Investigated the effect of the mass of the bob. I could have found the time period for a simple pendulum for different masses of the bob for the same material. However I don't think this would effect the time period of a simple pendulum because T = 2? L g The equation doesn't have mass in it so changes in mass of the bob would not effect the time period of a simple pendulum. All in all the experimental results that I got for the time period of a simple pendulum is reliable and the value of acceleration due to gravity works out to very close to the actual value. This shows that the experimental method and the apparatus I used are quiet accurate to give reliable sets of results. SHALINI THARMABALAN. 1 ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our GCSE Forces and Motion section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related GCSE Forces and Motion essays

1. ## The Simple Pendulum Experiment

4 star(s)

use a ruler to measure my pendulum's string, and ensure that it is at my start value, which I have chosen to be 80cm (0.8m). I have chosen this value because lengths of greater than 2m will be too long and the pendulum will hit the floor.

2. ## The purpose of this experiment is to see what factors affect the period of ...

4 star(s)

60 40 16 60 40 16 50 40 15 50 40 15 40 40 13.5 40 40 13.5 30 40 12 30 40 12 20 40 10 20 40 10 10 40 8 10 40 8 I can see from the results that there is one clear factor, length and swing size again.

1. ## Determination of the acceleration due to gravity using a simple pendulum.

Readings from digital stopwatches are accurate to the nearest 0.01s but human error means this reading is unlikely to be accurate. I have estimated the total reaction time in starting and stopping the stopwatch is ?0.5s. * Size of the displacement: This will remain at 10 degrees.

2. ## Determining the acceleration due to gravity by using simple pendulum.

Mass The mass of the pendulum also does not affect the time. air resistance With a small pendulum bob there is very little air resistance. This can easily be seen because it takes a long time for the pendulum to stop swinging, so only a small amount of energy is lost on each swing.

1. ## Factors affecting acceleration

is 2.70m.s.-2 , and for a 30� angle it is 3.24m.s.-2 etc. As the mass of the car does not affect the acceleration, all the accelerations should be the same. Results Weight 1st (Sec.) 2nd (Sec.) 3rd (Sec.) 0g 1.56 1.64 1.59 50g 1.62 1.39 1.23 100g 1.36 1.59 1.48

2. ## Period of Oscillation of a Simple Pendulum

Below is a diagram, which shows how potential energy (p.e) and kinetic energy (k.e) are continually interchanged in a pendulum. The diagram shows how at the point of release, the energy of the bob is all p.e. Then as it passes through the central position, it is all k.e.

1. ## Investigate the factors which determine the damping of a compound pendulum to find an ...

My pivot was made by putting a nail through the ruler and clamping the nail between two pieces of wood. This worked quite well (especially with the washer reducing friction) but the nail created a safety issue. To overcome this I decided it was best to place a piece of

2. ## Measuring Acceleration due to Gravity using a simple Pendulum.

1.400 53.88 2.70 1.200 47.49 2.38 1.000 44.09 2.21 0.800 40.10 2.01 0.600 35.19 1.18 0.400 29.20 1.46 0.200 21.11 1.06 With the preliminary experiment there was only a need to include one set of results, but in the final experiment three sets of results will be collected for more accuracy.

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to